WO2024196388A1 - Split array architecture for analog neural memory in a deep learning artificial neural network - Google Patents

Abstract

Numerous embodiments are disclosed for splitting a physical array into multiple arrays for separate vector-by-matrix multiplication (VMM) operations. In one example, a system comprises an array of non-volatile memory cells arranged into rows and columns; and a plurality of sets of output lines, where each column contains a set of output lines; wherein each row is coupled to only one output line in the set of output lines for each column.

Description

Attorney Docket Number: 351913-980295 SPLIT ARRAY ARCHITECTURE FOR ANALOG NEURAL MEMORY IN A DEEP LEARNING ARTIFICIAL NEURAL NETWORK PRIORITY CLAIM [0001] This patent application claims priority to U.S. Patent Application No.18/125,703, filed on March 23, 2023, and titled “Split Array Architecture for Analog Neural Memory in a Deep Learning Artificial Neural Network,” which is a continuation-in-part of U.S. Patent Application No.17/461,901, filed on August 30, 2021, and titled “Split Array Architecture for Analog Neural Memory in a Deep Learning Artificial Neural Network,” which claims priority to U.S. Provisional Patent Application No. 63/190,228, filed on May 18, 2021, and titled, “Split Array Architecture for Analog Neural Memory in a Deep Learning Artificial Neural Network”. FIELD OF THE INVENTION [0002] Numerous embodiments are disclosed for splitting a physical array into multiple arrays for separate vector-by-matrix multiplication (VMM) operations by providing more than output line per column in the physical array, which allows multiple sets of rows in the same column to be accessed concurrently, where different sets of rows are assigned to different arrays for VMM operations. BACKGROUND OF THE INVENTION [0003] Artificial neural networks mimic biological neural networks (the central nervous systems of animals, in particular the brain) and are used to estimate or approximate functions that can depend on a large number of inputs and are generally unknown. Artificial neural networks generally include layers of interconnected "neurons" which exchange messages between each other. [0004] Figure 1 illustrates an artificial neural network, where the circles represent the inputs or layers of neurons. The connections (called synapses) are represented by arrows and have numeric weights that can be tuned based on experience. This makes neural networks adaptive to inputs and capable of learning. Typically, neural networks include a layer of multiple inputs. 1 ACTIVE\600108996.1 ACTIVE\600108996.1 Attorney Docket Number: 351913-980295 There are typically one or more intermediate layers of neurons, and an output layer of neurons that provide the output of the neural network. The neurons at each level individually or collectively make a decision based on the received data from the synapses. [0005] One of the major challenges in the development of artificial neural networks for high- performance information processing is a lack of adequate hardware technology. Indeed, practical neural networks rely on a very large number of synapses, enabling high connectivity between neurons, i.e. a very high computational parallelism. In principle, such complexity can be achieved with digital supercomputers or specialized graphics processing unit clusters. However, in addition to high cost, these approaches also suffer from mediocre energy efficiency as compared to biological networks, which consume much less energy primarily because they perform low-precision analog computation. CMOS analog circuits have been used for artificial neural networks, but most CMOS-implemented synapses have been too bulky given the high number of neurons and synapses. [0006] Applicant previously disclosed an artificial (analog) neural network that utilizes one or more non-volatile memory arrays as the synapses in U.S. Patent Application No.15/594,439, which is incorporated by reference. The non-volatile memory arrays operate as an analog neuromorphic memory. The neural network device includes a first plurality of synapses configured to receive a first plurality of inputs and to generate therefrom a first plurality of outputs, and a first plurality of neurons configured to receive the first plurality of outputs. The first plurality of synapses includes a plurality of memory cells, wherein each of the memory cells includes spaced apart source and drain regions formed in a semiconductor substrate with a channel region extending there between, a floating gate disposed over and insulated from a first portion of the channel region and a non-floating gate disposed over and insulated from a second portion of the channel region. Each of the plurality of memory cells is configured to store a weight value corresponding to a number of electrons on the floating gate. The plurality of memory cells is configured to multiply the first plurality of inputs by the stored weight values to generate the first plurality of outputs. 2 ACTIVE\600108996.1 ACTIVE\600108996.1 Attorney Docket Number: 351913-980295 Non-Volatile Memory Cells [0007] Non-volatile memories are well known. For example, U.S. Patent 5,029,130 (“the ’130 patent”), which is incorporated herein by reference, discloses an array of split gate non-volatile memory cells, which are a type of flash memory cells. Such a memory cell 210 is shown in Figure 2. Each memory cell 210 includes source region 14 and drain region 16 formed in semiconductor substrate 12, with channel region 18 there between. Floating gate 20 is formed over and insulated from (and controls the conductivity of) a first portion of the channel region 18, and over a portion of the source region 14. Word line terminal 22 (which is typically coupled to a word line) has a first portion that is disposed over and insulated from (and controls the conductivity of) a second portion of the channel region 18, and a second portion that extends up and over the floating gate 20. The floating gate 20 and word line terminal 22 are insulated from the substrate 12 by a gate oxide. Bitline 24 is coupled to drain region 16. [0008] Memory cell 210 is erased (where electrons are removed from the floating gate) by placing a high positive voltage on the word line terminal 22, which causes electrons on the floating gate 20 to tunnel through the intermediate insulation from the floating gate 20 to the word line terminal 22 via Fowler-Nordheim (FN) tunneling. [0009] Memory cell 210 is programmed by source side injection (SSI) with hot electrons (where electrons are placed on the floating gate) by placing a positive voltage on the word line terminal 22, and a positive voltage on the source region 14. Electron current will flow from the drain region 16 towards the source region 14. The electrons will accelerate and become heated when they reach the gap between the word line terminal 22 and the floating gate 20. Some of the heated electrons will be injected through the gate oxide onto the floating gate 20 due to the attractive electrostatic force from the floating gate 20. [0010] Memory cell 210 is read by placing positive read voltages on the drain region 16 and word line terminal 22 (which turns on the portion of the channel region 18 under the word line terminal). If the floating gate 20 is positively charged (i.e. erased of electrons), then the portion of the channel region 18 under the floating gate 20 is turned on as well, and current will flow across the channel region 18, which is sensed as the erased or “1” state. If the floating gate 20 is negatively charged (i.e. programmed with electrons), then the portion of the channel region 3 ACTIVE\600108996.1 ACTIVE\600108996.1 Attorney Docket Number: 351913-980295 under the floating gate 20 is mostly or entirely turned off, and current will not flow (or there will be little flow) across the channel region 18, which is sensed as the programmed or “0” state. [0011] Table No.1 depicts typical voltage and current ranges that can be applied to the terminals of memory cell 110 for performing read, erase, and program operations: Table No.1: Operation of Flash Memory Cell 210 of Figure 3 WL BL SL Read 2-3V 0.6-2V 0V Erase ~11-13V 0V 0V Program 1-2V 10.5- 9-10V 3µA [0012] Other split gate memory cell configurations, which are other types of flash memory cells, are known. For example, Figure 3 depicts a four-gate memory cell 310 comprising source region 14, drain region 16, floating gate 20 over a first portion of channel region 18, a select gate 22 (typically coupled to a word line, WL) over a second portion of the channel region 18, a control gate 28 over the floating gate 20, and an erase gate 30 over the source region 14. This configuration is described in U.S. Patent 6,747,310, which is incorporated herein by reference for all purposes. Here, all gates are non-floating gates except floating gate 20, meaning that they are electrically connected or connectable to a voltage source. Programming is performed by heated electrons from the channel region 18 injecting themselves onto the floating gate 20. Erasing is performed by electrons tunneling from the floating gate 20 to the erase gate 30. [0013] Table No.2 depicts typical voltage and current ranges that can be applied to the terminals of memory cell 310 for performing read, erase, and program operations: Table No.2: Operation of Flash Memory Cell 310 of Figure 3 WL/SG BL ^CG EG SL 4 ACTIVE\600108996.1 ACTIVE\600108996.1 Attorney Docket Number: 351913-980295 Read 1.0-2V 0.6-2V 0-2.6V 0-2.6V 0V Erase -0.5V/0V 0V 0V/-8V 8-12V 0V Program 1V 0.1- 8-11V 4.5-9V 4.5-5V 1µA [0014] Figure 4 depicts a three-gate memory cell 410, which is another type of flash memory cell. Memory cell 410 is identical to the memory cell 310 of Figure 3 except that memory cell 410 does not have a separate control gate. The erase operation (whereby erasing occurs through use of the erase gate) and read operation are similar to that of the Figure 3 except there is no control gate bias applied. The programming operation also is done without the control gate bias, and as a result, a higher voltage must be applied on the source line during a program operation to compensate for a lack of control gate bias. [0015] Table No.3 depicts typical voltage and current ranges that can be applied to the terminals of memory cell 410 for performing read, erase, and program operations: Table No.3: Operation of Flash Memory Cell 410 of Figure 4 WL/SG BL EG SL Read 0.7-2.2V 0.6-2V 0-2.6V 0V Erase -0.5V/0V 0V 11.5V 0V Program 1V 0.2- 4.5V 7-9V 3µA [0016] Figure 5 depicts stacked gate memory cell 510, which is another type of flash memory cell. Memory cell 510 is similar to memory cell 210 of Figure 2, except that floating gate 20 extends over the entire channel region 18, and control gate 22 (which here will be coupled to a word line) extends over floating gate 20, separated by an insulating layer (not shown). The erase is done by FN tunneling of electrons from FG to substrate, programming is by channel hot 5 ACTIVE\600108996.1 ACTIVE\600108996.1 Attorney Docket Number: 351913-980295 electron (CHE) injection at region between the channel 18 and the drain region 16, by the electrons flowing from the source region 14 towards to drain region 16 and read operation which is similar to that for memory cell 210 with a higher control gate voltage. [0017] Table No.4 depicts typical voltage ranges that can be applied to the terminals of memory cell 510 and substrate 12 for performing read, erase, and program operations: Table No.4: Operation of Flash Memory Cell 510 of Figure 5 C_{G BL SL} ^Substrate Read 2-5V 0.6 – 2V 0V 0V Erase -8 to -10V/0V FLT FLT 8-10V / 15-20V Program 8-12V 3-5V 0V 0V [0018] The methods and means described herein may apply to other non-volatile memory technologies such as FINFET split gate flash or stack gate flash memory, NAND flash, SONOS (silicon-oxide-nitride-oxide-silicon, charge trap in nitride), MONOS (metal-oxide-nitride-oxide- silicon, metal charge trap in nitride), ReRAM (resistive ram), PCM (phase change memory), MRAM (magnetic ram), FeRAM (ferroelectric ram), CT (charge trap) memory, CN (carbon- tube) memory, OTP (bi-level or multi-level one time programmable), and CeRAM (correlated electron ram), without limitation. [0019] In order to utilize the memory arrays comprising one of the types of non-volatile memory cells described above in an artificial neural network, two modifications are made. First, the lines are configured so that each memory cell can be individually programmed, erased, and read without adversely affecting the memory state of other memory cells in the array, as further explained below. Second, continuous (analog) programming of the memory cells is provided. [0020] Specifically, the memory state (i.e. charge on the floating gate) of each memory cell in the array can be continuously changed from a fully erased state to a fully programmed state, independently and with minimal disturbance of other memory cells. In another embodiment, the memory state (i.e., charge on the floating gate) of each memory cell in the array can be continuously changed from a fully programmed state to a fully erased state, and vice-versa, 6 ACTIVE\600108996.1 ACTIVE\600108996.1 Attorney Docket Number: 351913-980295 independently and with minimal disturbance of other memory cells. This means the cell storage is analog or at the very least can store one of many discrete values (such as 16 or 64 different values), which allows for very precise and individual tuning of all the cells in the memory array, and which makes the memory array ideal for storing and making fine tuning adjustments to the synapsis weights of the neural network. Neural Networks Employing Non-Volatile Memory Cell Arrays [0021] Figure 6 conceptually illustrates a non-limiting example of a neural network utilizing a non-volatile memory array of the present embodiments. This example uses the non-volatile memory array neural network for a facial recognition application, but any other appropriate application could be implemented using a non-volatile memory array based neural network. [0022] S0 is the input layer, which for this example is a 32x32 pixel RGB image with 5 bit precision (i.e. three 32x32 pixel arrays, one for each color R, G and B, each pixel being 5 bit precision). The synapses CB1 going from input layer S0 to layer C1 apply different sets of weights in some instances and shared weights in other instances, and scan the input image with 3x3 pixel overlapping filters (kernel), shifting the filter by 1 pixel (or more than 1 pixel as dictated by the model). Specifically, values for 9 pixels in a 3x3 portion of the image (i.e., referred to as a filter or kernel) are provided to the synapses CB1, where these 9 input values are multiplied by the appropriate weights and, after summing the outputs of that multiplication, a single output value is determined and provided by a first synapse of CB1 for generating a pixel of one of the feature maps of layer C1. The 3x3 filter is then shifted one pixel to the right within input layer S0 (i.e., adding the column of three pixels on the right, and dropping the column of three pixels on the left), whereby the 9 pixel values in this newly positioned filter are provided to the synapses CB1, where they are multiplied by the same weights and a second single output value is determined by the associated synapse. This process is continued until the 3x3 filter scans across the entire 32x32 pixel image of input layer S0, for all three colors and for all bits (precision values). The process is then repeated using different sets of weights to generate a different feature map of layer C1, until all the features maps of layer C1 have been calculated. [0023] In layer C1, in the present example, there are 16 feature maps, with 30x30 pixels each. Each pixel is a new feature pixel extracted from multiplying the inputs and kernel, and therefore 7 ACTIVE\600108996.1 ACTIVE\600108996.1 Attorney Docket Number: 351913-980295 each feature map is a two dimensional array, and thus in this example layer C1 constitutes 16 layers of two dimensional arrays (keeping in mind that the layers and arrays referenced herein are logical relationships, not necessarily physical relationships – i.e., the arrays are not necessarily oriented in physical two dimensional arrays). Each of the 16 feature maps in layer C1 is generated by one of sixteen different sets of synapse weights applied to the filter scans. The C1 feature maps could all be directed to different aspects of the same image feature, such as boundary identification. For example, the first map (generated using a first weight set, shared for all scans used to generate this first map) could identify circular edges, the second map (generated using a second weight set different from the first weight set) could identify rectangular edges, or the aspect ratio of certain features, and so on. [0024] An activation function P1 (pooling) is applied before going from layer C1 to layer S1, which pools values from consecutive, non-overlapping 2x2 regions in each feature map. The purpose of the pooling function P1 is to average out the nearby location (or a max function can also be used), to reduce the dependence of the edge location for example and to reduce the data size before going to the next stage. At layer S1, there are 1615x15 feature maps (i.e., sixteen different arrays of 15x15 pixels each). The synapses CB2 going from layer S1 to layer C2 scan maps in layer S1 with 4x4 filters, with a filter shift of 1 pixel. At layer C2, there are 2212x12 feature maps. An activation function P2 (pooling) is applied before going from layer C2 to layer S2, which pools values from consecutive non-overlapping 2x2 regions in each feature map. At layer S2, there are 226x6 feature maps. An activation function (pooling) is applied at the synapses CB3 going from layer S2 to layer C3, where every neuron in layer C3 connects to every map in layer S2 via a respective synapse of CB3. At layer C3, there are 64 neurons. The synapses CB4 going from layer C3 to the output layer S3 fully connects C3 to S3, i.e. every neuron in layer C3 is connected to every neuron in layer S3. The output at S3 includes 10 neurons, where the highest output neuron determines the class. This output could, for example, be indicative of an identification or classification of the contents of the original image. [0025] Each layer of synapses is implemented using an array, or a portion of an array, of non- volatile memory cells. [0026] Figure 7 is a block diagram of an array that can be used for that purpose. Vector-by- matrix multiplication (VMM) array 32 includes non-volatile memory cells and is utilized as the 8 ACTIVE\600108996.1 ACTIVE\600108996.1 Attorney Docket Number: 351913-980295 synapses (such as CB1, CB2, CB3, and CB4 in Figure 6) between one layer and the next layer. Specifically, VMM array 32 includes an array of non-volatile memory cells 33, erase gate and word line gate decoder 34, control gate decoder 35, bit line decoder 36 and source line decoder 37, which decode the respective inputs for the non-volatile memory cell array 33. Input to VMM array 32 can be from the erase gate and wordline gate decoder 34 or from the control gate decoder 35. Source line decoder 37 in this example also decodes the output of the non-volatile memory cell array 33. Alternatively, bit line decoder 36 can decode the output of the non- volatile memory cell array 33. [0027] Non-volatile memory cell array 33 serves two purposes. First, it stores the weights that will be used by the VMM array 32. Second, the non-volatile memory cell array 33 effectively multiplies the inputs by the weights stored in the non-volatile memory cell array 33 and adds them up per output line (source line or bit line) to produce the output, which will be the input to the next layer or input to the final layer. By performing the multiplication and addition function, the non-volatile memory cell array 33 negates the need for separate multiplication and addition logic circuits and is also power efficient due to its in-situ memory computation. [0028] The output of non-volatile memory cell array 33 is supplied to a differential summer (such as a summing op-amp or a summing current mirror) 38, which sums up the outputs of the non-volatile memory cell array 33 to create a single value for that convolution. The differential summer 38 is arranged to perform summation of positive weight and negative weight. [0029] The summed-up output values of differential summer 38 are then supplied to an activation function block 39, which rectifies the output. The activation function block 39 may provide sigmoid, tanh, or ReLU functions. The rectified output values of activation function block 39 become an element of a feature map as the next layer (e.g. C1 in Figure 6), and are then applied to the next synapse to produce the next feature map layer or final layer. Therefore, in this example, non-volatile memory cell array 33 constitutes a plurality of synapses (which receive their inputs from the prior layer of neurons or from an input layer such as an image database), and summing op-amp 38 and activation function block 39 constitute a plurality of neurons. [0030] The input to VMM array 32 in Figure 7 (WLx, EGx, CGx, and optionally BLx and SLx) can be analog level, binary level, or digital bits (in which case a DAC is provided to convert 9 ACTIVE\600108996.1 ACTIVE\600108996.1 Attorney Docket Number: 351913-980295 digital bits to appropriate input analog level) and the output can be analog level, binary level, or digital bits (in which case an output ADC is provided to convert output analog level into digital bits). [0031] Figure 8 is a block diagram depicting the usage of numerous layers of VMM arrays 32, here labeled as VMM arrays 32a, 32b, 32c, 32d, and 32e. As shown in Figure 8, the input, denoted Inputx, is converted from digital to analog by a digital-to-analog converter 31 and provided to input VMM array 32a. The converted analog inputs could be voltage or current. The input D/A conversion for the first layer could be done by using a function or a LUT (look up table) that maps the inputs Inputx to appropriate analog levels for the matrix multiplier of input VMM array 32a. The input conversion could also be done by an analog to analog (A/A) converter to convert an external analog input to a mapped analog input to the input VMM array 32a. [0032] The output generated by input VMM array 32a is provided as an input to the next VMM array (hidden level 1) 32b, which in turn generates an output that is provided as an input to the next VMM array (hidden level 2) 32c, and so on. The various layers of VMM array 32 function as different layers of synapses and neurons of a convolutional neural network (CNN). Each VMM array 32a, 32b, 32c, 32d, and 32e can be a stand-alone, physical non-volatile memory array, or multiple VMM arrays could utilize different portions of the same physical non-volatile memory array, or multiple VMM arrays could utilize overlapping portions of the same physical non-volatile memory array. The example shown in Figure 8 contains five layers (32a,32b,32c,32d,32e): one input layer (32a), two hidden layers (32b,32c), and two fully connected layers (32d,32e). One of ordinary skill in the art will appreciate that this is merely exemplary and that a system instead could comprise more than two hidden layers and more than two fully connected layers. Vector-by-Matrix Multiplication (VMM) Arrays [0033] Figure 9 depicts neuron VMM array 900, which is particularly suited for memory cells 310 as shown in Figure 3 and is utilized as the synapses and parts of neurons between an input layer and the next layer. VMM array 900 comprises memory array 901 of non-volatile memory 10 ACTIVE\600108996.1 ACTIVE\600108996.1 Attorney Docket Number: 351913-980295 cells and reference array 902 (at the top of the array) of non-volatile reference memory cells. Alternatively, another reference array can be placed at the bottom. [0034] In VMM array 900, control gate lines, such as control gate line 903, run in a vertical direction (hence reference array 902 in the row direction is orthogonal to control gate line 903), and erase gate lines, such as erase gate line 904, run in a horizontal direction. Here, the inputs to VMM array 900 are provided on the control gate lines (CG0, CG1, CG2, CG3), and the output of VMM array 900 emerges on the source lines (SL0, SL1). In one embodiment, only even rows are used, and in another embodiment, only odd rows are used. The current placed on each source line (SL0, SL1, respectively) performs a summing function of all the currents from the memory cells connected to that particular source line. [0035] As described herein for neural networks, the non-volatile memory cells of VMM array 900, i.e. the memory cells 310 of VMM array 900, are preferably configured to operate in a sub- threshold region. [0036] The non-volatile reference memory cells and the non-volatile memory cells described herein are biased in weak inversion (sub threshold region): Ids = Io * e ^{(Vg- Vth)/nVt} = w * Io * e ^(Vg)/nVt, where w = e ^{(- Vth)/nVt} where Ids is the drain to source current; Vg is gate voltage on the memory cell; Vth is threshold voltage of the memory cell; Vt is thermal voltage = k*T/q with k being the Boltzmann constant, T the temperature in Kelvin, and q the electronic charge; n is a slope factor = 1 + (Cdep/Cox) with Cdep = capacitance of the depletion layer, and Cox capacitance of the gate oxide layer; Io is the memory cell current at gate voltage equal to threshold voltage, Io is proportional to (Wt/L)*u*Cox* (n-1) * Vt² where u is carrier mobility and Wt and L are width and length, respectively, of the memory cell. [0037] For an I-to-V log converter using a memory cell (such as a reference memory cell or a peripheral memory cell) or a transistor to convert input current into an input voltage: Vg= n*Vt*log [Ids/wp*Io] where, wp is w of a reference or peripheral memory cell. [0038] For a memory array used as a vector matrix multiplier VMM array with the current input, the output current is: 11 ACTIVE\600108996.1 ACTIVE\600108996.1 Attorney Docket Number: 351913-980295 Iout = wa * Io * e ^(Vg)/nVt , namely Iout = (wa/wp) * Iin = W * Iin W = e ^{(Vthp - Vtha)/nVt} Here, wa = w of each memory cell in the memory array. Vthp is effective threshold voltage of the peripheral memory cell and Vtha is effective threshold voltage of the main (data) memory cell. Note that the threshold voltage of a transistor is a function of substrate body bias voltage and the substrate body bias voltage, denoted Vsb, can be modulated to compensate for various conditions, on such temperature. The threshold voltage Vth can be expressed as: Vth = Vth0 + gamma (SQRT |Vsb – 2*ϕF) - SQRT |2* ϕF |) Where Vth0 is threshold voltage with zero substrate bias, ϕF is a surface potential, and gamma is a body effect parameter. [0039] A wordline or control gate can be used as the input for the memory cell for the input voltage. [0040] Alternatively, the flash memory cells of VMM arrays described herein can be configured to operate in the linear region: Ids = beta* (Vgs-Vth)*Vds ; beta = u*Cox*Wt/L W = α (Vgs-Vth) meaning weight W in the linear region is proportional to (Vgs-Vth) [0041] A wordline or control gate or bitline or sourceline can be used as the input for the memory cell operated in the linear region. The bitline or sourceline can be used as the output for the memory cell. [0042] For an I-to-V linear converter, a memory cell (such as a reference memory cell or a peripheral memory cell) or a transistor operating in the linear region can be used to linearly convert an input/output current into an input/output voltage. [0043] Alternatively, the memory cells of VMM arrays described herein can be configured to operate in the saturation region: Ids = ½ * beta* (Vgs-Vth)² ; beta = u*Cox*Wt/L Wα (Vgs-Vth)², meaning weight W is proportional to (Vgs-Vth)² 12 ACTIVE\600108996.1 ACTIVE\600108996.1 Attorney Docket Number: 351913-980295 [0044] A wordline, control gate, or erase gate can be used as the input for the memory cell operated in the saturation region. The bitline or sourceline can be used as the output for the output neuron. [0045] Alternatively, the memory cells of VMM arrays described herein can be used in all regions or a combination thereof (sub threshold, linear, or saturation) for each layer or multi layers of a neural network. [0046] Other embodiments for VMM array 32 of Figure 7 are described in U.S. Patent Application No. Application No.15/826,345, which is incorporated by reference herein. As described in that application. a sourceline or a bitline can be used as the neuron output (current summation output). [0047] Figure 10 depicts neuron VMM array 1000, which is particularly suited for memory cells 210 as shown in Figure 2 and is utilized as the synapses between an input layer and the next layer. VMM array 1000 comprises a memory array 1003 of non-volatile memory cells, reference array 1001 of first non-volatile reference memory cells, and reference array 1002 of second non- volatile reference memory cells. Reference arrays 1001 and 1002, arranged in the column direction of the array, serve to convert current inputs flowing into terminals BLR0, BLR1, BLR2, and BLR3 into voltage inputs WL0, WL1, WL2, and WL3. In effect, the first and second non-volatile reference memory cells are diode-connected through multiplexors 1014 (only partially depicted) with current inputs flowing into them. The reference cells are tuned (e.g., programmed) to target reference levels. The target reference levels are provided by a reference mini-array matrix (not shown). [0048] Memory array 1003 serves two purposes. First, it stores the weights that will be used by the VMM array 1000 on respective memory cells thereof. Second, memory array 1003 effectively multiplies the inputs (i.e. current inputs provided in terminals BLR0, BLR1, BLR2, and BLR3, which reference arrays 1001 and 1002 convert into the input voltages to supply to wordlines WL0, WL1, WL2, and WL3) by the weights stored in the memory array 1003 and then adds all the results (memory cell currents) to produce the output on the respective bit lines (BL0 - BLN), which will be the input to the next layer or input to the final layer. By performing the multiplication and addition function, memory array 1003 negates the need for separate multiplication and addition logic circuits and is also power efficient. Here, the voltage inputs are 13 ACTIVE\600108996.1 ACTIVE\600108996.1 Attorney Docket Number: 351913-980295 provided on the word lines WL0, WL1, WL2, and WL3, and the output emerges on the respective bit lines BL0 - BLN during a read (inference) operation. The current placed on each of the bit lines BL0 - BLN performs a summing function of the currents from all non-volatile memory cells connected to that particular bitline. [0049] Table No.5 depicts operating voltages and currents for VMM array 1000. The columns in the table indicate the voltages placed on word lines for selected cells, word lines for unselected cells, bit lines for selected cells, bit lines for unselected cells, source lines for selected cells, and source lines for unselected cells. The rows indicate the operations of read, erase, and program. Table No.5: Operation of VMM Array 1000 of Figure 10: WL WL -unsel BL BL -unsel SL SL -unsel Read 1-3.5V -0.5V/0V 0.6-2V (Ineuron) 0.6V-2V/0V 0V 0V Erase ~5-13V 0V 0V 0V 0V 0V Program 1-2V -0.5V/0V 0.1-3 uA Vinh ~2.5V 4-10V 0-1V/FLT [0050] Figure 11 depicts neuron VMM array 1100, which is particularly suited for memory cells 210 as shown in Figure 2 and is utilized as the synapses and parts of neurons between an input layer and the next layer. VMM array 1100 comprises a memory array 1103 of non-volatile memory cells, reference array 1101 of first non-volatile reference memory cells, and reference array 1102 of second non-volatile reference memory cells. Reference arrays 1101 and 1102 run in row direction of the VMM array 1100. VMM array is similar to VMM 1000 except that in VMM array 1100, the word lines run in the vertical direction. Here, the inputs are provided on the word lines (WLA0, WLB0, WLA1, WLB2, WLA2, WLB2, WLA3, WLB3), and the output emerges on the source line (SL0, SL1) during a read operation. The current placed on each 14 ACTIVE\600108996.1 ACTIVE\600108996.1 Attorney Docket Number: 351913-980295 source line performs a summing function of all the currents from the memory cells connected to that particular source line. [0051] Table No.6 depicts operating voltages and currents for VMM array 1100. The columns in the table indicate the voltages placed on word lines for selected cells, word lines for unselected cells, bit lines for selected cells, bit lines for unselected cells, source lines for selected cells, and source lines for unselected cells. The rows indicate the operations of read, erase, and program. Table No.6: Operation of VMM Array 1100 of Figure 11 WL WL -unsel BL BL -unsel SL SL -unsel ~0.3-1V Read 1-3.5V -0.5V/0V 0.6-2V 0.6V-2V/0V (Ineuron) 0V SL-inhibit (~4- Erase ~5-13V 0V 0V 0V 0V 8V) Program 1-2V -0.5V/0V 0.1-3 uA Vinh ~2.5V 4-10V 0-1V/FLT [0052] Figure 12 depicts neuron VMM array 1200, which is particularly suited for memory cells 310 as shown in Figure 3 and is utilized as the synapses and parts of neurons between an input layer and the next layer. VMM array 1200 comprises a memory array 1203 of non-volatile memory cells, reference array 1201 of first non-volatile reference memory cells, and reference array 1202 of second non-volatile reference memory cells. Reference arrays 1201 and 1202 serve to convert current inputs flowing into terminals BLR0, BLR1, BLR2, and BLR3 into voltage inputs CG0, CG1, CG2, and CG3. In effect, the first and second non-volatile reference memory cells are diode-connected through multiplexors 1212 (only partially shown) with current inputs flowing into them through BLR0, BLR1, BLR2, and BLR3. Multiplexors 1212 each include a respective multiplexor 1205 and a cascoding transistor 1204 to ensure a constant 15 ACTIVE\600108996.1 ACTIVE\600108996.1 Attorney Docket Number: 351913-980295 voltage on the bitline (such as BLR0) of each of the first and second non-volatile reference memory cells during a read operation. The reference cells are tuned to target reference levels. [0053] Memory array 1203 serves two purposes. First, it stores the weights that will be used by the VMM array 1200. Second, memory array 1203 effectively multiplies the inputs (current inputs provided to terminals BLR0, BLR1, BLR2, and BLR3, for which reference arrays 1201 and 1202 convert these current inputs into the input voltages to supply to the control gates (CG0, CG1, CG2, and CG3) by the weights stored in the memory array and then add all the results (cell currents) to produce the output, which appears on BL0 – BLN, and will be the input to the next layer or input to the final layer. By performing the multiplication and addition function, the memory array negates the need for separate multiplication and addition logic circuits and is also power efficient. Here, the inputs are provided on the control gate lines (CG0, CG1, CG2, and CG3), and the output emerges on the bitlines (BL0 – BLN) during a read operation. The current placed on each bitline performs a summing function of all the currents from the memory cells connected to that particular bitline. [0054] VMM array 1200 implements uni-directional tuning for non-volatile memory cells in memory array 1203. That is, each non-volatile memory cell is erased and then partially programmed until the desired charge on the floating gate is reached. If too much charge is placed on the floating gate (such that the wrong value is stored in the cell), the cell is erased and the sequence of partial programming operations starts over. As shown, two rows sharing the same erase gate (such as EG0 or EG1) are erased together (which is known as a page erase), and thereafter, each cell is partially programmed until the desired charge on the floating gate is reached. [0055] Table No.7 depicts operating voltages and currents for VMM array 1200. The columns in the table indicate the voltages placed on word lines for selected cells, word lines for unselected cells, bit lines for selected cells, bit lines for unselected cells, control gates for selected cells, control gates for unselected cells in the same sector as the selected cells, control gates for unselected cells in a different sector than the selected cells, erase gates for selected cells, erase gates for unselected cells, source lines for selected cells, and source lines for unselected cells. The rows indicate the operations of read, erase, and program. 16 ACTIVE\600108996.1 ACTIVE\600108996.1 Attorney Docket Number: 351913-980295 Table No.7: Operation of VMM Array 1200 of Figure 12 CG - unsel WL - BL - same CG - EG - SL - WL unsel BL unsel CG sector unsel EG unsel SL unsel 0.6-2V Read 1.0-2V -0.5V/ 0V (Ineuron) 0V 0-2.6V 0-2.6V 0-2.6V 0-2.6V 0-2.6V 0V 0V Erase 0V 0V 0V 0V 0V 0-2.6V 0-2.6V 5-12V 0-2.6V 0V 0V Vinh Program 0.7-1V -0.5V/ 0V 0.1-1uA (1-2V) 4-11V 0-2.6V 0-2.6V 4.5-5V 0-2.6V 4.5-5V 0-1V [0056] Figure 13 depicts neuron VMM array 1300, which is particularly suited for memory cells 310 as shown in Figure 3, and is utilized as the synapses and parts of neurons between an input layer and the next layer. VMM array 1300 comprises a memory array 1303 of non-volatile memory cells, reference array 1301 or first non-volatile reference memory cells, and reference array 1302 of second non-volatile reference memory cells. EG lines EGR0, EG0, EG1 and EGR1 are run vertically while CG lines CG0, CG1, CG2 and CG3 and SL lines WL0, WL1, WL2 and WL3 are run horizontally. VMM array 1300 is similar to VMM array 1400, except that VMM array 1300 implements bi-directional tuning, where each individual cell can be completely erased, partially programmed, and partially erased as needed to reach the desired amount of charge on the floating gate due to the use of separate EG lines. As shown, reference arrays 1301 and 1302 convert input current in the terminal BLR0, BLR1, BLR2, and BLR3 into control gate voltages CG0, CG1, CG2, and CG3 (through the action of diode-connected reference cells through multiplexors 1314) to be applied to the memory cells in the row direction. The current output (neuron) is in the bitlines BL0 – BLN, where each bit line sums all currents from the non- volatile memory cells connected to that particular bitline. [0057] Table No.8 depicts operating voltages and currents for VMM array 1300. The columns in the table indicate the voltages placed on word lines for selected cells, word lines for 17 ACTIVE\600108996.1 ACTIVE\600108996.1 Attorney Docket Number: 351913-980295 unselected cells, bit lines for selected cells, bit lines for unselected cells, control gates for selected cells, control gates for unselected cells in the same sector as the selected cells, control gates for unselected cells in a different sector than the selected cells, erase gates for selected cells, erase gates for unselected cells, source lines for selected cells, and source lines for unselected cells. The rows indicate the operations of read, erase, and program. Table No.8: Operation of VMM Array 1300 of Figure 13 CG -unsel WL - BL - same CG - EG - SL - WL unsel BL unsel CG sector unsel EG unsel SL unsel -0.5V/ 0.6-2V Read 1.0-2V 0V (Ineuron) 0V 0-2.6V 0-2.6V 0-2.6V 0-2.6V 0-2.6V 0V 0V Erase 0V 0V 0V 0V 0V 4-9V 0-2.6V 5-12V 0-2.6V 0V 0V -0.5V/ Vinh 4.5- Program 0.7-1V 0V 0.1-1uA (1-2V) 4-11V 0-2.6V 0-2.6V 4.5-5V 0-2.6V 5V 0-1V [0058] Figure 22 depicts neuron VMM array 2200, which is particularly suited for memory cells 210 as shown in Figure 2 and is utilized as the synapses and parts of neurons between an input layer and the next layer. In VMM array 2200, the inputs INPUT0. …, INPUTN are received on bit lines BL₀, ... BL_N, respectively, and the outputs OUTPUT₁, OUTPUT₂, OUTPUT₃, and OUTPUT₄ are generated on source lines SL₀, SL₁, SL₂, and SL₃, respectively. [0059] Figure 23 depicts neuron VMM array 2300, which is particularly suited for memory cells 210 as shown in Figure 2 and is utilized as the synapses and parts of neurons between an input layer and the next layer. In this example, the inputs INPUT_0, INPUT_1, INPUT_2, and INPUT₃ are received on source lines SL0, SL1, SL2, and SL3, respectively, and the outputs OUTPUT0, ... OUTPUT_N are generated on bit lines BL₀, …, BL_N. [0060] Figure 24 depicts neuron VMM array 2400, which is particularly suited for memory cells 210 as shown in Figure 2, and is utilized as the synapses and parts of neurons between an input layer and the next layer. In this example, the inputs INPUT0, …, INPUTM are received on word 18 ACTIVE\600108996.1 ACTIVE\600108996.1 Attorney Docket Number: 351913-980295 lines WL₀, …, WL_M, respectively, and the outputs OUTPUT₀, ... OUTPUT_N are generated on bit lines BL0, …, BLN. [0061] Figure 25 depicts neuron VMM array 2500, which is particularly suited for memory cells 310 as shown in Figure 3, and is utilized as the synapses and parts of neurons between an input layer and the next layer. In this example, the inputs INPUT0, …, INPUTM are received on word lines WL0, …, WLM, respectively, and the outputs OUTPUT0, ... OUTPUTN are generated on bit lines BL₀, …, BL_N. Alternatively, the inputs can be received on control gate CG₀,…, CG_M. [0062] Figure 26A depicts neuron VMM array 2600, which is particularly suited for memory cells 410 as shown in Figure 4, and is utilized as the synapses and parts of neurons between an input layer and the next layer. In this example, the inputs INPUT0, …, INPUTn are received on vertical control gate lines CG₀, …, CG_N, respectively, and the outputs OUTPUT₁ and OUTPUT₂ are generated on source lines SL0 and SL1. [0063] Figure 26B depicts neuron VMM array 2620, which is an alternative design of VMM array 2600 with the wordlines vertical instead of horizontal. In this instance, the inputs can be received on vertical word lines WL0, WL1, and the outputs OUTPUT1 and OUTPUT2 are generated on horizontal source lines SL0 and SL1. [0064] Figure 26C depicts neuron VMM array 2640, which is an alternative design of VMM array 2600 with erase gate lines vertical instead of horizontal. In this instance, the inputs can be received on vertical erase gate lines EG0, EG1, and the outputs OUTPUT1 and OUTPUT2 are generated on horizontal source lines SL0 and SL1. and the outputs OUTPUT1 and OUTPUT2 are generated on horizontal source lines SL₀ and SL₁. [0065] Figure 27 depicts neuron VMM array 2700, which is particularly suited for memory cells 410 as shown in Figure 4, and is utilized as the synapses and parts of neurons between an input layer and the next layer. In this example, the inputs INPUT_0, …, INPUT_N are received on the gates of bit line control gates 2701-1, 2701-2, …, 2701-(N-1), and 2701-N, respectively, which are coupled to bit lines BL0, …, BLN, respectively. Exemplary outputs OUTPUT1 and OUTPUT₂ are generated on source lines SL₀ and SL₁ [0066] Figure 28 depicts neuron VMM array 2800, which is particularly suited for memory cells 310 as shown in Figure 3, memory cells 510 as shown in Figure 5, and memory cells 710 as shown in Figure 7, and is utilized as the synapses and parts of neurons between an input layer 19 ACTIVE\600108996.1 ACTIVE\600108996.1 Attorney Docket Number: 351913-980295 and the next layer. In this example, the inputs INPUT_0, …, INPUT_M are received on word lines WL0, …, WLM, and the outputs OUTPUT0, …, OUTPUTN are generated on bit lines BL0, …, BLN, respectively. Alternatively, the inputs can be received on control gate lines CG0,…, CGM. [0067] Figure 29 depicts neuron VMM array 2900, which is particularly suited for memory cells 310 as shown in Figure 3, memory cells 510 as shown in Figure 5, and memory cells 710 as shown in Figure 7, and is utilized as the synapses and parts of neurons between an input layer and the next layer. In this example, the inputs INPUT_0, …, INPUT_M are received on control gate lines CG₀, …, CG_M. Outputs OUTPUT_0, …, OUTPUT_N are generated on vertical source lines SL0, …, SLN, respectively, where each source line SLi is coupled to the source lines of all memory cells in column i. Alternatively, the inputs can be received on word lines WL0,…, WL_M. [0068] Figure 30 depicts neuron VMM array 3000, which is particularly suited for memory cells 310 as shown in Figure 3, memory cells 510 as shown in Figure 5, and memory cells 710 as shown in Figure 7, and is utilized as the synapses and parts of neurons between an input layer and the next layer. In this example, the inputs INPUT0, …, INPUTM are received on control gate lines CG0, …, CGM. Outputs OUTPUT0, …, OUTPUTN are generated on vertical bit lines BL0, …, BL_N, respectively, where each bit line BL_i is coupled to the bit lines of all memory cells in column i. Long Short-Term Memory [0069] The prior art includes a concept known as long short-term memory (LSTM). LSTM units often are used in neural networks. LSTM allows a neural network to remember information over predetermined arbitrary time intervals and to use that information in subsequent operations. A conventional LSTM unit comprises a cell, an input gate, an output gate, and a forget gate. The three gates regulate the flow of information into and out of the cell and the time interval that the information is remembered in the LSTM. VMMs are particularly useful in LSTM units. [0070] Figure 14 depicts an exemplary LSTM 1400. LSTM 1400 in this example comprises cells 1401, 1402, 1403, and 1404. Cell 1401 receives input vector x₀ and generates output vector h0 and cell state vector c0. Cell 1402 receives input vector x1, the output vector (hidden state) h0 from cell 1401, and cell state c0 from cell 1401 and generates output vector h1 and cell state 20 ACTIVE\600108996.1 ACTIVE\600108996.1 Attorney Docket Number: 351913-980295 vector c₁. Cell 1403 receives input vector x₂, the output vector (hidden state) h₁ from cell 1402, and cell state c1 from cell 1402 and generates output vector h2 and cell state vector c2. Cell 1404 receives input vector x3, the output vector (hidden state) h2 from cell 1403, and cell state c2 from cell 1403 and generates output vector h₃. Additional cells can be used, and an LSTM with four cells is merely an example. [0071] Figure 15 depicts an exemplary implementation of an LSTM cell 1500, which can be used for cells 1401, 1402, 1403, and 1404 in Figure 14. LSTM cell 1500 receives input vector x(t), cell state vector c(t-1) from a preceding cell, and output vector h(t-1) from a preceding cell, and generates cell state vector c(t) and output vector h(t). [0072] LSTM cell 1500 comprises sigmoid function devices 1501, 1502, and 1503, each of which applies a number between 0 and 1 to control how much of each component in the input vector is allowed through to the output vector. LSTM cell 1500 also comprises tanh devices 1504 and 1505 to apply a hyperbolic tangent function to an input vector, multiplier devices 1506, 1507, and 1508 to multiply two vectors together, and addition device 1509 to add two vectors together. Output vector h(t) can be provided to the next LSTM cell in the system, or it can be accessed for other purposes. [0073] Figure 16 depicts an LSTM cell 1600, which is an example of an implementation of LSTM cell 1500. For the reader’s convenience, the same numbering from LSTM cell 1500 is used in LSTM cell 1600. Sigmoid function devices 1501, 1502, and 1503 and tanh device 1504 each comprise multiple VMM arrays 1601 and activation function blocks 1602 blocks 1602. Thus, it can be seen that VMM arrays are particular useful in LSTM cells used in certain neural network systems. The multiplier devices 1506, 1507, and 1508 and the addition device 1509 are implemented in a digital manner or in an analog manner. The activation function blocks 1602 can be implemented in a digital manner or in an analog manner. [0074] An alternative to LSTM cell 1600 (and another example of an implementation of LSTM cell 1500) is shown in Figure 17. In Figure 17, sigmoid function devices 1501, 1502, and 1503 and tanh device 1504 share the same physical hardware (VMM arrays 1701 and activation function block 1702) in a time-multiplexed fashion. LSTM cell 1700 also comprises multiplier device 1703 to multiply two vectors together, addition device 1708 to add two vectors together, tanh device 1505 (which comprises activation function block 1702), register 1707 to store the 21 ACTIVE\600108996.1 ACTIVE\600108996.1 Attorney Docket Number: 351913-980295 value i(t) when i(t) is output from sigmoid function block 1702, register 1704 to store the value f(t) * c(t-1) when that value is output from multiplier device 1703 through multiplexor 1710, register 1705 to store the value i(t) * u(t) when that value is output from multiplier device 1703 through multiplexor 1710, and register 1706 to store the value o(t) * c~(t) when that value is output from multiplier device 1703 through multiplexor 1710, and multiplexor 1709. [0075] Whereas LSTM cell 1600 contains multiple sets of VMM arrays 1601 and respective activation function blocks 1602, LSTM cell 1700 contains only one set of VMM arrays 1701 and activation function block 1702, which are used to represent multiple layers in the embodiment of LSTM cell 1700. LSTM cell 1700 will require less space than LSTM 1600, as LSTM cell 1700 will require 1/4 as much space for VMMs and activation function blocks compared to LSTM cell 1600. [0076] It can be further appreciated that LSTM units will typically comprise multiple VMM arrays, each of which requires functionality provided by certain circuit blocks outside of the VMM arrays, such as a summer and activation function block and high voltage generation blocks. Providing separate circuit blocks for each VMM array would require a significant amount of space within the semiconductor device and would be somewhat inefficient. The embodiments described below therefore attempt to minimize the circuitry required outside of the VMM arrays themselves. Gated Recurrent Units [0077] An analog VMM implementation can be utilized for a GRU (gated recurrent unit) system. GRUs are a gating mechanism in recurrent neural networks. GRUs are similar to LSTMs, except that GRU cells generally contain fewer components than an LSTM cell. [0078] Figure 18 depicts an exemplary GRU 1800. GRU 1800 in this example comprises cells 1801, 1802, 1803, and 1804. Cell 1801 receives input vector x0 and generates output vector h0. Cell 1802 receives input vector x1, the output vector h0 from cell 1801 and generates output vector h₁. Cell 1803 receives input vector x₂ and the output vector (hidden state) h₁ from cell 1802 and generates output vector h₂. Cell 1804 receives input vector x₃ and the output vector (hidden state) h2 from cell 1803 and generates output vector h3. Additional cells can be used, and an GRU with four cells is merely an example. 22 ACTIVE\600108996.1 ACTIVE\600108996.1 Attorney Docket Number: 351913-980295 [0079] Figure 19 depicts an exemplary implementation of a GRU cell 1900, which can be used for cells 1801, 1802, 1803, and 1804 of Figure 18. GRU cell 1900 receives input vector x(t) and output vector h(t-1) from a preceding GRU cell and generates output vector h(t). GRU cell 1900 comprises sigmoid function devices 1901 and 1902, each of which applies a number between 0 and 1 to components from output vector h(t-1) and input vector x(t). GRU cell 1900 also comprises a tanh device 1903 to apply a hyperbolic tangent function to an input vector, a plurality of multiplier devices 1904, 1905, and 1906 to multiply two vectors together, an addition device 1907 to add two vectors together, and a complementary device 1908 to subtract an input from 1 to generate an output. [0080] Figure 20 depicts a GRU cell 2000, which is an example of an implementation of GRU cell 1900. For the reader’s convenience, the same numbering from GRU cell 1900 is used in GRU cell 2000. As can be seen in Figure 20, sigmoid function devices 1901 and 1902, and tanh device 1903 each comprise multiple VMM arrays 2001 and activation function blocks 2002. Thus, it can be seen that VMM arrays are of particular use in GRU cells used in certain neural network systems. The multiplier devices 1904, 1905, 1906, the addition device 1907, and the complementary device 1908 are implemented in a digital manner or in an analog manner. The activation function blocks 2002 can be implemented in a digital manner or in an analog manner. [0081] An alternative to GRU cell 2000 (and another example of an implementation of GRU cell 1900) is shown in Figure 21. In Figure 21, GRU cell 2100 utilizes VMM arrays 2101 and activation function block 2102, which when configured as a sigmoid function applies a number between 0 and 1 to control how much of each component in the input vector is allowed through to the output vector. In Figure 21, sigmoid function devices 1901 and 1902 and tanh device 1903 share the same physical hardware (VMM arrays 2101 and activation function block 2102) in a time-multiplexed fashion. GRU cell 2100 also comprises multiplier device 2103 to multiply two vectors together, addition device 2105 to add two vectors together, complementary device 2109 to subtract an input from 1 to generate an output, multiplexor 2104, register 2106 to hold the value h(t-1) * r(t) when that value is output from multiplier device 2103 through multiplexor 2104, register 2107 to hold the value h(t-1) *z(t) when that value is output from multiplier device 2103 through multiplexor 2104, and register 2108 to hold the value h^(t) * (1-z(t)) when that value is output from multiplier device 2103 through multiplexor 2104. 23 ACTIVE\600108996.1 ACTIVE\600108996.1 Attorney Docket Number: 351913-980295 [0082] Whereas GRU cell 2000 contains multiple sets of VMM arrays 2001 and activation function blocks 2002, GRU cell 2100 contains only one set of VMM arrays 2101 and activation function block 2102, which are used to represent multiple layers in the embodiment of GRU cell 2100. GRU cell 2100 will require less space than GRU cell 2000, as GRU cell 2100 will require 1/3 as much space for VMMs and activation function blocks compared to GRU cell 2000. [0083] It can be further appreciated that GRU systems will typically comprise multiple VMM arrays, each of which requires functionality provided by certain circuit blocks outside of the VMM arrays, such as a summer and activation function block and high voltage generation blocks. Providing separate circuit blocks for each VMM array would require a significant amount of space within the semiconductor device and would be somewhat inefficient. The embodiments described below therefore attempt to minimize the circuitry required outside of the VMM arrays themselves. [0084] The input to the VMM arrays can be an analog level, a binary level, a pulse, a time modulated pulse, or digital bits (in this case a DAC is needed to convert digital bits to appropriate input analog level) and the output can be an analog level, a binary level, a timing pulse, pulses, or digital bits (in this case an output ADC is needed to convert output analog level into digital bits). [0085] In general, for each memory cell in a VMM array, each weight W can be implemented by a single memory cell or by a differential cell or by two blend memory cells (average of 2 cells). In the differential cell case, two memory cells are needed to implement a weight W as a differential weight (W = W+ – W-). In the two blend memory cells, two memory cells are needed to implement a weight W as an average of two cells. [0086] Each non-volatile memory cells used in the analog neuromorphic memory system must be erased and programmed to hold a very specific and precise amount of charge, i.e., the number of electrons, in the floating gate. For example, each floating gate must hold one of N different values, where N is the number of different weights that can be indicated by each cell. Examples of N include 16, 32, 64, 128, and 256. [0087] One challenge in the prior art is that the physical memory array may be much larger than what is needed for a particular VMM operation. For example, a physical array might contain 1000 rows and 512 columns, but a VMM operation might require an array of only 256 24 ACTIVE\600108996.1 ACTIVE\600108996.1 Attorney Docket Number: 351913-980295 rows and 256 columns. What is needed is a way to support multiple arrays for separate VMM operations using the same physical array where each of the multiple arrays can be accessed concurrently. SUMMARY OF THE INVENTION [0088] Numerous embodiments are disclosed for splitting a physical array into multiple arrays for separate VMM operations by providing more than one output line per column in the physical array, which allows multiple sets of rows in the same column to be accessed concurrently, where different sets of rows are assigned to different arrays for VMM operations.. BRIEF DESCRIPTION OF THE DRAWINGS [0089] Figure 1 is a diagram that illustrates an artificial neural network. [0090] Figure 2 depicts a prior art split gate flash memory cell. [0091] Figure 3 depicts another prior art split gate flash memory cell. [0092] Figure 4 depicts another prior art split gate flash memory cell. [0093] Figure 5 depicts another prior art split gate flash memory cell. [0094] Figure 6 is a diagram illustrating the different levels of an exemplary artificial neural network utilizing one or more non-volatile memory arrays. [0095] Figure 7 is a block diagram illustrating a vector-by-matrix multiplication system. [0096] Figure 8 is a block diagram illustrates an exemplary artificial neural network utilizing one or more vector-by-matrix multiplication systems. [0097] Figure 9 depicts another embodiment of a vector-by-matrix multiplication system. [0098] Figure 10 depicts another embodiment of a vector-by-matrix multiplication system. [0099] Figure 11 depicts another embodiment of a vector-by-matrix multiplication system. [00100] Figure 12 depicts another embodiment of a vector-by-matrix multiplication system. [00101] Figure 13 depicts another embodiment of a vector-by-matrix multiplication system. [00102] Figure 14 depicts a prior art long short-term memory system. [00103] Figure 15 depicts an exemplary cell for use in a long short-term memory system. [00104] Figure 16 depicts an embodiment of the exemplary cell of Figure 15. [00105] Figure 17 depicts another embodiment of the exemplary cell of Figure 15. 25 ACTIVE\600108996.1 ACTIVE\600108996.1 Attorney Docket Number: 351913-980295 [00106] Figure 18 depicts a prior art gated recurrent unit system. [00107] Figure 19 depicts an exemplary cell for use in a gated recurrent unit system. [00108] Figure 20 depicts an embodiment of the exemplary cell of Figure 19. [00109] Figure 21 depicts another embodiment of the exemplary cell of Figure 19. [00110] Figure 22 depicts another embodiment of a vector-by-matrix multiplication system. [00111] Figure 23 depicts another embodiment of a vector-by-matrix multiplication system. [00112] Figure 24 depicts another embodiment of a vector-by-matrix multiplication system. [00113] Figure 25 depicts another embodiment of a vector-by-matrix multiplication system. [00114] Figure 26A depicts another embodiment of a vector-by-matrix multiplication system. [00115] Figure 26B depicts another embodiment of a vector-by-matrix multiplication system. [00116] Figure 26C depicts another embodiment of a vector-by-matrix multiplication system. [00117] Figure 27 depicts another embodiment of a vector-by-matrix multiplication system. [00118] Figure 28 depicts another embodiment of a vector-by-matrix multiplication system. [00119] Figure 29 depicts another embodiment of a vector-by-matrix multiplication system. [00120] Figure 30 depicts another embodiment of a vector-by-matrix multiplication system. [00121] Figure 31 depicts a vector-by-matrix multiplication system. [00122] Figure 32 depicts an embodiment of a split vector-by-matrix multiplication system. [00123] Figure 33 depicts an embodiment of a split array vector-by-matrix multiplication system. [00124] Figure 34 depicts another embodiment of a split array vector-by-matrix multiplication system. [00125] Figure 35 depicts another embodiment of a split array vector-by-matrix multiplication system. [00126] Figure 36 depicts another embodiment of a split array vector-by-matrix multiplication system. [00127] Figure 37 depicts an embodiment of a split array in a vector-by-matrix multiplication system. [00128] Figure 38 depicts another embodiment of a split array in a vector-by-matrix multiplication system. 26 ACTIVE\600108996.1 ACTIVE\600108996.1 Attorney Docket Number: 351913-980295 [00129] Figure 39 depicts exemplary layouts of a single array and a split array in vector-by- matrix multiplication systems. [00130] Figure 40 depicts an example of a split array vector-by-matrix multiplication system with multiple output lines per column. [00131] Figure 41 depicts an example of a split array vector-by-matrix multiplication system with multiple output lines per column. [00132] Figure 42 depicts an example of an array with multiple output lines per column. [00133] Figure 43 depicts an example of a split array vector-by-matrix multiplication system with multiple output lines per column. [00134] Figure 44 depicts an example of an array that comprises a plurality of the arrays depicted in Figure 42. DETAILED DESCRIPTION OF THE INVENTION [00135] The artificial neural networks of the present invention utilize a combination of CMOS technology and non-volatile memory arrays. VMM System Overview [00136] Figure 31 depicts a block diagram of VMM system 3100. VMM system 3100 comprises VMM array 3101, row decoder 3102, high voltage decoder 3103, column decoder 3104, bit line drivers 3105, input circuit 3106, output circuit 3107, control logic 3108, and bias generator 3109. VMM system 3100 further comprises high voltage generation block 3110, which comprises charge pump 3111, charge pump regulator 3112, and high voltage level generator 3113. VMM system 3100 further comprises (program/erase, or aka weight tuning) algorithm controller 3114, analog circuitry 3115, control engine 3116 (that may include special functions such as arithmetic functions, activation functions, embedded microcontroller logic, etc.), and test control logic 3117. The systems and methods described below can be implemented in VMM system 3100. [00137] The input circuit 3106 may include circuits such as a DAC (digital to analog converter), DPC (digital to pulses converter, digital to time modulated pulse converter), AAC (analog to analog converter, such as a current to voltage converter, logarithmic converter ), PAC 27 ACTIVE\600108996.1 ACTIVE\600108996.1 Attorney Docket Number: 351913-980295 (pulse to analog level converter), or any other type of converters. The input circuit 3106 may implement normalization, linear or non-linear up/down scaling functions, or arithmetic functions. The input circuit 3106 may implement a temperature compensation function for input levels. The input circuit 3106 may implement an activation function such as ReLU or sigmoid. The output circuit 3107 may include circuits such as an ADC (analog to digital converter, to convert neuron analog output to digital bits), AAC (analog to analog converter, such as a current to voltage converter, logarithmic converter), APC (analog to pulse(s) converter, analog to time modulated pulse converter), a current-to-voltage converter, or any other type of converters. The output circuit 3107 may implement an activation function such as ReLU or sigmoids. The output circuit 3107 may implement statistic normalization, regularization, up/down scaling/gain functions, statistical rounding, or arithmetic functions (e.g., add, subtract, divide, multiply, shift, log) for neuron outputs. The output circuit 3107 may implement a temperature compensation function for neuron outputs or array outputs (such as bitline output) so as to keep power consumption of the array approximately constant or to improve precision of the array (neuron) outputs such as by keeping the IV slope approximately the same. [00138] Figures 32-36 depicts embodiments of VMM systems that contain some commonality with VMM system 3100 but also some modifications. [00139] Figure 32 depicts VMM system 3200. VMM system 3200 comprises array 3201, shared row decoder 3202, shared high voltage decoder 3203, column decoders 3204 and 3205, (row) input circuit 3220, output circuits 3206 and 3207, and shared bit line drivers 3208. Shared row decoder 3202 is coupled to all rows in array 3201 and applies a voltage to a selected row. Shared high voltage decoder 3203 can be selectively coupled to all rows in array 3201. Shared high voltage decoder 3203 optionally comprises control gate high voltage decoder 3231 that can be selectively coupled to all rows in the array and shared erase gate high voltage decoder 3232 that can be selectively coupled to all rows in the array. The input circuit 3220 is, for example, similar to the input circuit 3106 of Fig.31. The circuits and functions of the output circuit 3206 and 3207 are, for example, each similar to the circuits and functions of the output circuit 3107 of Fig 31. Unlike in VMM system 3100, in VMM system 3200 certain operations are split between different sets of circuitry. Specifically, half of the columns (for example, all odd columns) in array 3201 are operated upon by column decoder 3204 and output circuit 3206, and the other half 28 ACTIVE\600108996.1 ACTIVE\600108996.1 Attorney Docket Number: 351913-980295 of the columns (for example, all even columns) in array 3201 are operated upon by column decoder 3205 and output circuit 3207. Thus, output circuit 3206 is coupled to column decoder 3204 for generating a first output from one or more columns in a first half of the columns during a read operation, and output circuit 3207 is coupled to column decoder 3207 for generating a second output from one or more columns in a second half of the columns during a read operation. In this embodiment, all columns are coupled to shared bit line drivers 3208 during program or erase operations. This allow multiple bitlines to be read concurrently, meaning bitlines coupled to the column decoder 3204 and the output circuit 3206 and bitlines coupled to the column decoder 3205 and the output circuit 3207 are enabled at the same time, by shared bit line drivers 3208, for read operations. Hence, this increases the throughput for reading the array 3201. Alternatively, the read operations need not be concurrent. [00140] Optionally, with further reference to Figure 39, continuous diffusion can be implemented between the top half and the bottom half of the array. [00141] Figure 33 depicts VMM system 3300. VMM system 3300 comprises arrays 3301a and 3301b, row decoder 3302, shared high voltage decoder 3303, column decoders 3304 and 3305, input circuit 3320, current-to-voltage converter circuits 3306 and 3307, shared analog-to- digital converter (ADC) 3308, and shared bit line drivers 3309. The current-to-voltage converter circuits 3306 or 3307 and the shared ADC circuit 3308 are parts of the output circuit 3207 in Fig 32. [00142] Unlike in VMM system 3100, in VMM system 3300 certain operations are split between different sets of circuitry. Specifically, array 3301a is operated upon by column decoder 3304 and current-to-voltage converter 3306, and array 3301b is operated upon by column decoder 3305 and current-to-voltage converter 3307. This allows multiple read and/or program operations to be performed simultaneously, where read or program operations can be performed concurrently on one or more cells in array 3301a and one or more cells in array 3301b. [00143] Current-to-voltage converter circuits 3306 and 3307 are both coupled to shared analog-to-digital converter 3308, which is used in a time multiplexing fashion during read operations, and to shared bit line drivers 3309, which is used during program and erase operations. For example, in read operation, the array 3301a is enabled and is coupled to the column decoder 3304 and to the current-to-voltage converter circuit 3306 while the array 3301b 29 ACTIVE\600108996.1 ACTIVE\600108996.1 Attorney Docket Number: 351913-980295 is enabled and is coupled to the column decoder 3305 and the current-to-voltage converter circuit 3307 at the same time. The output voltage from the current-to-voltage converter circuits 3306 and 3307 are sampled and held (S/H), e.g., by S/H capacitors inside the shared ADC 3308, and these array output voltage are digitized (converted) by the time multiplexed shared ADC 3308 (since it is shared between the current-to-voltage converter circuits 3306 and 3307). For example, for one ADC shared between two current-to-voltage converter circuits, two set of S/H capacitors are used. In another embodiment, one ADC can be used for N current-to-voltage converter circuits, and in this case N set of S/H capacitors are used. [00144] The use of a shared ADC between two current-to-voltage converter circuits can be applied to Figures 34/35/36 as well. [00145] Figure 34 depicts VMM system 3400. VMM system 3400 comprises arrays 3401a and 3401b, shared row decoder 3402, shared high voltage decoder 3403, column decoders 3404 and 3405, input circuit 3420, output circuits 3406 and 3407, and shared bit line drivers 3408. Unlike in VMM system 3100, in VMM system 3400 certain operations are split between different sets of circuitry. Specifically, array 3401a is operated upon by column decoder 3404 and output circuit 3406, and array 3401b is operated upon by column decoder 3405 and output circuit 3407. This allows multiple read/or and program operations to be performed simultaneously, where read or program operations can be performed concurrently on one or more cells in array 3401a and one or more cells in array 3401b. Arrays 3401a and 3401b are both coupled to shared bit line drivers 3408, which is used during program and erase operations. [00146] Figure 35 depicts VMM system 3500. VMM system 3500 comprises arrays 3501a, 3501b, 3501c, and 3501d; row decoders 3502 and 3503; shared high voltage decoder 3504; column decoders 3505, 3506, 3507, and 3508; input circuit 3520, output circuits 3509, 3510, 3511, and 3512; and shared bit line drivers 3513 and 3514. Shared high voltage decoder 3504 can be selectively coupled to all rows in arrays 3501a, 3501b, 3501c, and 3501d. Row decoder 3502 is shared by arrays 3501a and 3501b and is coupled to all rows in those arrays and applies a voltage to a selected row, and row decoder 3503 is shared by arrays 3501c and 3501d and is coupled to all rows in those arrays and applies a voltage to a selected row. [00147] In VMM system 3500, certain operations are split between different sets of circuitry. Specifically, array 3501a is operated upon by column decoder 3505 and output circuit 3509; 30 ACTIVE\600108996.1 ACTIVE\600108996.1 Attorney Docket Number: 351913-980295 array 3501b is operated upon by column decoder 3507 and output circuit 3511; array 3501c is operated upon by column decoder 3506 and output circuit 3510; and array 3501d is operated upon by column decoder 3508 and output circuit 3512. This allows multiple read/or and program operations to be performed simultaneously in all four arrays at once, where read or program operations can be performed concurrently on one or more cells in array 3501a, one or more cells in array 3501b, one or more cells in array 3501c, and one or more cells in array 3501d. Arrays 3501a and 3501b are both selectively coupled to shared bit line drivers 3513 during program and erase operations. Arrays 3501c and 3501d are both selectively coupled to shared bit line drivers 3514 during program and erase operations. [00148] For example, a first read operation can be performed where column decoder 3505 and output circuit 3509 generate a first output from one or more rows in array 3501a, a second read operation can be performed where column decoder 3506 and output circuit 3510 generate a second output from one or more rows in array 3501c, a third read operation can be performed where column decoder 3507 and output circuit 3511 generate a third output from one or more rows in array 3501b, and a fourth read operation can be performed where column decoder 3508 and output circuit 3512 generate a fourth output from one or more rows in array 3501d. Optionally, the first and third read operations can occur concurrently. Optionally, the second and fourth read operations can occur concurrently. [00149] Figure 36 depicts VMM system 3600. VMM system 3600 comprises arrays 3601a, 3601b, 3601c, and 3601d; row decoder 3621; control gate decoders 3602 and 3603; shared high voltage decoder 3604; column decoders 3605, 3606, 3607, and 3608; output circuits 3609, 3610, 3611, and 3612; and shared bit line drivers 3613 and 3614. In VMM system 3600, certain operations are split between different sets of circuitry. Specifically, array 3601a is operated upon by column decoder 3605 and output circuit 3609; array 3601b is operated upon by column decoder 3607 and output circuit 3611; array 3601c is operated upon by column decoder 3606 and output circuit 3610; and array 3601d is operated upon by column decoder 3608 and output circuit 3612. This allows multiple read and/or program operations to be performed simultaneously in all four arrays at once, where read or program operations can be performed concurrently on one or more cells in array 3601a, one or more cells in array 3601b, one or more cells in array 3601c, and one or more cells in array 3601d. Arrays 3601a and 3601b are both selectively coupled to 31 ACTIVE\600108996.1 ACTIVE\600108996.1 Attorney Docket Number: 351913-980295 shared bit line drivers 3613 during program and erase operations. Arrays 3601c and 3601d are both selectively coupled to shared bit line drivers 3614 during program and erase operations. [00150] Figures 32-36 show the reading is done by row input on control gates. Alternatively, it can be done on word lines or erase gates. The input circuit 3220 in Fig 32, 3320 in Fig 33, 3420 in Fig.34, 3520 in Fig.35, and 3620 in Fig.36 are similar to the input circuit 3106 of Fig. 31. The output circuits 3206/3207 in Fig.32 and 3406/4307 in Fig.34, 3507/3508/3509/3510 in Fig 35, and 3607/3608/3609/3610 in Fig 36 are similar to the output circuit 3107 of Fig.31. [00151] Figure 37 depicts a portion of VMM array 3700. VMM array 3700 comprises rows 3701, 3702, 3703, 3704, 3705, 3706, 3707, and 3708. Rows 3701, 3702, 3705, and 3706 share an erase gate line (EG0) and a source line (SL0); rows 3703, 3704, 3707, and 3708 share an erase gate line (EG1) and a source line (SL1). In addition, rows 3701 and 3703 share a control gate line (CG0/CG2); rows 3702 and 3704 share a control gate line (CG1/CG3); rows 3705 and 3707 share a control gate line (CG4/CG6); and rows 3706 and 3708 share a control gate line (CG5/CG7). These couplings allow different rows to share decoder circuitry. The array terminals are shared such that program or erase disturb is reduced by having a reduced amount of erase or program voltage stress on un-selected cells. [00152] In the arrays of Figures 37 and 38 (described below), the row input for the VMM array 3700 and 3800 for neural read operations (multiple row and multiple bitlines are on at the same time) is on the word lines. If the input for neural read is on the control gates, the control gates cannot be shared across multiple rows in the same sub-array or array bank. [00153] Figure 38 depicts a portion of array 3800. Array 3800 comprises sectors 3809 and 3819. Sector 3809 comprises rows 3801, 3802, 3803, 3804, 3805, 3806, 3807, and 3808. Sector 3819 comprises rows 3811, 3812, 3813, 3814, 3815, 3816, 3817, and 3818. [00154] Rows 3801 (a first row) and 3811 (a second row) share a control gate line (CG0) (meaning that the control gate terminal of each cell in those rows is coupled to the same control gate line); rows 3802 and 3812 share a control gate line (CG1) (meaning that the control gate terminal of each cell in those rows is coupled to the same control gate line); rows 3803 and 3813 share a control gate line (CG2) (meaning that the control gate terminal of each cell in those rows is coupled to the same control gate line); rows 3804 and 3814 share a control gate line (CG3) (meaning that the control gate terminal of each cell in those rows is coupled to the same control 32 ACTIVE\600108996.1 ACTIVE\600108996.1 Attorney Docket Number: 351913-980295 gate line); rows 3805 and 3815 share a control gate line (CG4) (meaning that the control gate terminal of each cell in those rows is coupled to the same control gate line); rows 3806 and 3816 share a control gate line (CG5) (meaning that the control gate terminal of each cell in those rows is coupled to the same control gate line); rows 3807 and 3817 share a control gate line (CG6) (meaning that the control gate terminal of each cell in those rows is coupled to the same control gate line); and rows 3808 and 3818 share a control gate line (CG7) (meaning that the control gate terminal of each cell in those rows is coupled to the same control gate line). This means that the control gates are shared across the sectors. These couplings allow different rows to share decoder circuitry. The array terminals are shared such that the program or erase disturb is reduced by having a reduced amount of erase or program voltage stress on un-selected cells. [00155] Rows 3801 (a first row), 3802 (a third row), 3805, and 3806 share an erase gate line (EG0) (meaning that the erase gate terminal of each cell in those rows is coupled to the same erase gate line) and a source line (SL0) (meaning that the source line terminal of each cell in those rows is coupled to the same source line); rows 3803, 3084, 3807, and 3808 share an erase gate line (EG1) (meaning that the erase gate terminal of each cell in those rows is coupled to the same erase gate line) and a source line (SL1) (meaning that the source line terminal of each cell in those rows is coupled to the same source line); rows 3811, 3812, 3815, and 3816 share an erase gate line (EG0) (meaning that the erase gate terminal of each cell in those rows is coupled to the same erase gate line) and a source line (SL0) (meaning that the source line terminal of each cell in those rows is coupled to the same source line); and rows 3813, 3114, 3817, and 3818 share an erase gate line (EG1) (meaning that the erase gate terminal of each cell in those rows is coupled to the same erase gate line)and a source line (SL1) (meaning that the source line terminal of each cell in those rows is coupled to the same source line). [00156] Figure 39 depicts exemplary layouts of a portion of a single array 3901 (such as array 3101 in Figure 31 and array 3201 in Figure 32) and a split array 3902 (such as arrays 3301a and 3301b in Figure 33, arrays 3401a and 3401b in Figure 34, arrays 3501a, 3501b, 3501c, and 3501d in Figure 35, and arrays 3601a, 3601b, 3601c, and 3601d in Figure 36). Split array 3902 follows the same design as array 3901 except that certain contacts and metal connection 3904 are removed (or not formed), creating sub-arrays 3903a and 3903b. The few dummy rows at the interface are disabled such by grounding the wordline and control gates. This maintains process 33 ACTIVE\600108996.1 ACTIVE\600108996.1 Attorney Docket Number: 351913-980295 uniformity due to the front-end layers (i.e., continuous column diffusion within columns and continuous row diffusion within source lines) and polysilicon are continuous and uniform between the two arrays of non-volatile memory cells (between electrically separate arrays). This also results in reduced area overhead as compared to physical separation of different arrays. Array With Multiple Output Lines Per Column [00157] Figure 40 depicts VMM system 4000. VMM system 4000 comprises arrays 4001a and 4001b, shared row decoder 4002, shared high voltage decoder 4003, column decoder 4005, input circuit 4020, output circuits 4006 and 4007, and shared bit line drivers 4008 (control programming such as providing program current or inhibit the bitline in progamming). Unlike in VMM system 3100, in VMM system 4000 certain operations are split between different sets of circuitry. Specifically, although array 4001a and array 4001b can be formed of the same physical array, by design there are multiple output lines per memory column (a column of memory cells). In this example, the output lines are bit lines, meaning that there are multiple bitlines per column, with one set of bit lines being coupled to output circuit 4006 and another set of bit lines being coupled to output circuit 4007. This allows read/or and program operations to be performed simultaneously on array 4001a and array 4001b, where read or program operations can be performed concurrently on one or more cells in array 4001a and one or more cells in array 4001b. Arrays 4001a and 4001b are both coupled to shared bit line drivers 4008, which is used during program and erase operations. Alternatively, the read or program operations can performed independently at different time period. [00158] Figure 41 depicts VMM system 4100. VMM system 4100 comprises arrays 4101a and 4101b, shared row decoder 4102, shared high voltage decoder 4103, column decoder 4105, input circuit 4120, shared output circuit 4106, and shared bit line drivers 4107. VMM system 4100 is similar to VMM system 4100 except that VMM system 4100 contains one output circuit 4106 instead of two output circuits 4006 and 4007. As in VMM system 4000, in VMM system 4100 certain operations are split between different sets of circuitry. Specifically, although array 4101a and array 4101b can be formed of the same physical array, by design there are multiple output lines per column. In this example, the output lines are bit lines, meaning that there are multiple bitlines per column, with all bit lines coupled to output circuit 4106. This allows read/or 34 ACTIVE\600108996.1 ACTIVE\600108996.1 Attorney Docket Number: 351913-980295 and program operations to be performed simultaneously on array 4101a and array 4101b, where read or program operations can be performed concurrently on one or more cells in array 4101a and one or more cells in array 4101b. Arrays 4101a and 4101b are both coupled to shared bit line drivers 4108, which is used during program and erase operations. Alternatively, the read or program operations can be performed independently at different time period. [00159] Figure 42 depicts a portion of array 4200. Array 4200 comprises a plurality of non- volatile memory cells arranged into rows and columns 4201, 4202, 4203, and 4204. It is to be understood that array 4200 can comprise many additional rows and columns that are not shown but that the same principles shown will also apply to those additional rows and columns. In this example, each non-volatile memory cell is contained in a row and a column and has a bit line terminal, word line terminal, control gate terminal, erase gate terminal, and control gate terminal as in memory cell 310 of Figure 3. [00160] Unlike in the prior art, each column contains two output lines (two bit lines) Alternatively it can contain more than two output lines. For example, column 4201 comprises bit lines BLB0 and BLTO, column 4202 comprises bit lines BLB1 and BLT1, column 4203 comprises bit lines BLB2 and BLT2, and column 4204 comprises bit lines BLB3 and BLT3. The rows are grouped into block arrays 4210 and 4220. The cells in array 4210 are coupled to bit lines BLT0, BLT1, BLT2, and BLT3 but are not coupled to bit line BLB0, BLB1, BLB2, and BLB3, and the cells in array 4220 are coupled to bit lines BLB0, BLB1, BLB2, and BLB3 but are not coupled to bit lines BLT0, BLT1, BLT2, and BLT3. [00161] Due to this configuration, the rows in array 4210 can be read or programmed concurrently with the rows in array 4220 without any contention. This provides extreme efficiency when, for example, array 4210 is used in a first VMM operation and array 4220 is used in a second, separate VMM operation. This allows the same physical array to enable two separate VMM arrays and operations to be operated upon concurrently, which improves the speed of the VMM system compared to the prior art. [00162] Figure 43 depicts VMM system 4300. VMM system 4300 comprises arrays 4301a, 4301b, 4301c, and 4301d, shared row decoder 4302, shared high voltage decoder 4303, column decoders 4305 and 4310, shared input circuit 4320, output circuits 4306, 4307, 4311, and 4312, and bit line drivers 4308 and 4313. Unlike in VMM system 3100, in VMM system 4300 certain 35 ACTIVE\600108996.1 ACTIVE\600108996.1 Attorney Docket Number: 351913-980295 operations are split between different sets of circuitry. Specifically, although array 4301a, 4301b, 4301c, and 4301d can be formed of the same physical array, by design there are multiple output lines per column. In this example, the output lines are bit lines, and there are four output lines (bit lines) per memory column, with a first set of bit lines being coupled to output circuit 4306, a second set of bit lines being coupled to output circuit 4307, a third set of bit lines being coupled to output circuit 4311, and a fourth set of bit lines being coupled to output circuit 4312. This allows read/or and program operations to be performed simultaneously on arrays 4301a, 4301b, 4301c, and 4301d, where read or program operations can be performed concurrently on one or more cells in array 4301a, one or more cells in array 4301b, one or more cells in array 4301c, and one or more cells in array 4301d. Arrays 4301a and 4301b are both coupled to bit line drivers 4313, which is used during program and erase operations involving those arrays, and arrays 4301c and 4301d are coupled to bit line drivers 4308, which is used during program and erase operations involving those arrays. Alternatively, the read or program operations can be performed independently at different time period. [00163] Figure 44 depicts VMM system 4400, which comprises a plurality of sets of arrays, where each set comprises array 4401a and array 4401b, where each array 4401a is an instance of array 4210 in Figure 42 and each array 4401b is an instance of array 4220 in Figure 42. [00164] It should be noted that, as used herein, the terms “over” and “on” both inclusively include “directly on” (no intermediate materials, elements or space disposed therebetween) and “indirectly on” (intermediate materials, elements or space disposed therebetween). Likewise, the term “adjacent” includes “directly adjacent” (no intermediate materials, elements or space disposed therebetween) and “indirectly adjacent” (intermediate materials, elements or space disposed there between), “mounted to” includes “directly mounted to” (no intermediate materials, elements or space disposed there between) and “indirectly mounted to” (intermediate materials, elements or spaced disposed there between), and “electrically coupled” includes “directly electrically coupled to” (no intermediate materials or elements there between that electrically connect the elements together) and “indirectly electrically coupled to” (intermediate materials or elements there between that electrically connect the elements together). For example, forming an element “over a substrate” can include forming the element directly on the 36 ACTIVE\600108996.1 ACTIVE\600108996.1 Attorney Docket Number: 351913-980295 substrate with no intermediate materials/elements therebetween, as well as forming the element indirectly on the substrate with one or more intermediate materials/elements there between. 37 ACTIVE\600108996.1 ACTIVE\600108996.1

Claims

Attorney Docket Number: 351913-980295 What is claimed is: 1. A system comprising: an array of non-volatile memory cells arranged into rows and columns; and a plurality of sets of two or more output lines, where each column contains a set of two or more output lines; wherein each row is coupled to only one output line in the set of two or more output lines for each column. 2. The system of claim 1, wherein the output lines are bit lines. 3. The system of claim 1, wherein each set of two or more output lines in the plurality of sets of two or more output lines comprises two output lines. 4. The system of claim 1, wherein each set of two or more output lines in the plurality of sets of two or more output lines comprises four output lines. 5. The system of claim 1, wherein the non-volatile memory cells are split-gate flash memory cells. 6. The system of claim 1, wherein the non-volatile memory cells are stacked-gate flash memory cells. 7. The system of claim 1 comprising: an output driver coupled to the plurality of sets of two or more output lines. 8. The system of claim 1 comprising: a first output driver coupled to a first line in each set of two or more output lines in the plurality of sets of two or more output lines; and a second output driver coupled to a second line in each set of two or more output lines in the plurality of sets of two or more output lines. 9. The system of claim 8 comprising: 38 ACTIVE\600108996.1 ACTIVE\600108996.1 Attorney Docket Number: 351913-980295 a third output driver coupled to a third line in each set of two or more output lines in the plurality of sets of two or more output lines; and a fourth output driver coupled to a fourth line in each set of two or more output lines in the plurality of sets of two or more output lines. 10. The system of claim 8 comprising: a high voltage decoder for providing high voltages to the array during program and erase operations. 11. The system of claim 8 comprising: bit line drivers coupled to the plurality of sets of two or more output lines. 39 ACTIVE\600108996.1 ACTIVE\600108996.1