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(Solved): Please follow the instruction completely. TASK 1A: GATE Implementation: You are asked to draw gate ...
Please follow the instruction completely.
TASK 1A: GATE Implementation: You are asked to draw gate structure whith 8 inputs (4 digits for and 4 digits for ) and 3 outputs , and where if , and otherwise, if and if , and if otherwise . You should implement in one of these manners: or You should implenet your circuit in 3 manners: (1) Using only (inverters, AND, OR) gates (2) Using only (inverters, NAND, NOR) gates TASK 1B:GATE Implementation using PLA Using a PLA with multi input AND gates and multi input OR gates (include Inverters) TASK 1C: Simulation: Use a simulation engine to simulate a comparator for 4 digit binary numbers and Project 2:Describe briefly what thr following are: PLA, PAL, CPLD Project 3: Describe briefly what is an FPGA, what is its application, what are ite architecture What are I/O Blocks, CLB, Interconnect array, and how we write and read data. Do we use multiplexers and or decoders and or transistors to rout data?
Expert Answer
The gate structure for the comparator with 8 inputs and 3 outputs using (inverters, NAND, NOR) gates is shown above. The circuit consists of 8 pairs of NAND gates connected to the inputs X1 to X8 and Y1 to Y8. The output of each pair of NAND gates is connected to the input of another pair of NAND gates. The output of the last pair of NAND gates is connected to the input of a NOR gate, which generates the G' output. The E' and L' outputs can be obtained by inverting the E and L outputs using inverters.The equations for the outputs are:G = (X1'Y1 + X2'Y2 + X3'Y3 + ... + X8'Y8)' E = (X1'X2'X3'...X8'Y1'Y2'Y3'...Y8' + X1X2X3...X8Y1Y2Y3...Y8)' L = (X1Y1' + X1X2Y2' + X1X2X3Y3' + ... + X1X2X3...X8Y8')' G' = G' E' = E' L' = L'The two implementations are functionally equivalent, but the second implementation requires fewer gates than the first implementation.TASK 1B:A PLA (Programmable Logic Array) is a digital circuit that implements a boolean function by using a programmable AND array and a programmable OR array. The AND array receives the inputs of the function, and the OR array combines the outputs of the AND array to generate the function output. The inputs to the AND array can be inverted or non-inverted, and the outputs of the AND array can be connected to the inputs of the OR array through programmable connections called fuses. The PLA can be programmed to implement any boolean function by programming the fuses.The gate structure for the comparator with 8 inputs and 3 outputs using a PLA with multi-input AND gates and multi-input OR gates is shown below:inputs X1 to X8 and Y1 to Y8 are connected to the inputs of multi-input AND gates, and the outputs of the AND gates are connected to the inputs of multi-input OR gates. The number of inputs to the AND gates and OR gates is determined by the number of product terms and sum terms in the boolean function, respectively. In this case, the function has 8 product terms and 3 sum terms, so the AND gates have 8 inputs, and the OR gates have 3 inputs.The equations for the outputs are:G = ?(X > Y) E = ?(X = Y) L = ?(X < Y)where ? denotes logical OR and the inequality operators denote the comparison between the binary numbers X and Y.TASK 1C:To simulate the comparator for 4-digit binary numbers X and Y, we can use a simulation engine such as Verilog or VHDL. We can define the inputs and outputs of the circuit and write a testbench to generate input stimuli and verify the outputs. The testbench can generate random binary numbers for X and Y and compare the output values with the expected values based on the comparison rules.For example, the following Verilog code defines a module for the comparator with inputs X and Y and outputs G, E, and L:The testbench can be written to generate random values for X and Y and check the output values using the assert statement:The testbench generates 100 random pairs of binary numbers for X and Y and checks the output values using the assert statement. If any of the output values are not equal to the expected values, the assert statement will fail and the simulation will stop.