The output of an OR gate with inputs A, B, and C is a 1 (HIGH) when
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- Write the three outputs of X, Y and Z in terms of the four inputs A, B, C and D for the follow logic gates configuration ---This is my answer: I am unsure if it is right. X = A + (A’B’ * (B’+C’) = A + (A’+B’)*(B’*C’) Y = ((A’+B’)*(B’*C’))*((B’*C’)+CD)Z = (B+C)*(C’+D’)*D’arrow_forwardGiven a 4-bit signed integer, design a circuit that outputs its absolute value. You can assume that the input will always have a valid output. (a) Draw a logic diagram of this circuit. You may use 4-bit half adder(s), 2x1 4-bit multiplexer(s), and any logic gate(s) in your design. (b) With the following Verilog code, implement your design above in Verilog. module half_adder (input [3:0] a, input [3:0] b, output [3:0] s); assign s = a + b; endmodule module mux(input [3:0] D0, input [3:0] D1, input S, output reg [3:0] O); always @(*) begin if (S == 0) O = D0; else if (S == 1) O = D1; else O = 4’bx; end endmodulearrow_forwardDesign a circuit that compares two 3-bit numbers A and B to check if they are equal and less than. The circuit has two outputs X and Y, So that X=1 if A==B and X=0 if A!=B and Y=1 if A<B and Y=0 if A>Barrow_forward
- Design a circuit to implement the following truth table, where A and B are inputs and Z is the output. Give the Boolean equation that implements the circuit in the space provided. There may be more than one possible correct answer. You only need to list one possible correct answer. Input Output A B Z 0 0 1 0 1 0 1 0 1 1 1 1arrow_forwardDesign the simplest circuit that has three inputs, a, b, and c, which returns an output value of 1 whenever g and b are complements of each other or b and c are complements of each other, otherwise the output is 0. Realize the circuit using 4input , 3output PALarrow_forwardA combinational circuit with four inputs (A,B,C,D) and one output (Z) is designed as follows using an 8:1 multiplexer. Inputs A,B,C are connected to the select lines ?S2, S1, S0 respectively. Multiplexer has the following values connected to the data inputs: I0,I6 =1; I1,I3 =D; I2,I5 =0; I4,I7 =D’ Write the simplest logic expression of the circuit realized above Z= f(A, B, C, D)arrow_forward
- Truth Tables and Logic Gates /Circuits~ - NOT1. Derive truth tables for the following Boolean expressions:a) ~(A + B)b) ~ A + (~ B)c) (~ A) + Bd) (~ A). (~ B)e) (~ A). (A + (~ B)) 2. Derive truth tables for:a) A.B + (~C)b) A. (BC)c) (AB).Cd) (~ A) .(B + C)e) ~(AB) + C 3. Derive truth tables for the following; inputs are A, B and C.a) W is True if an even amount of inputs is True, and False otherwise.b) W is True if exactly one input is true, and False otherwise.c) W is true if A and C are the same, and False otherwise. 4. Draw the logic circuits for the following Boolean expressions:a) W = (AB) + (NOT C)b) X = (~A). (B + C)c) Y = ~(AB) + Carrow_forwardUsing the truth table below ( An example sum-of-products expression is (A+B+C)(A+B+C')(A+B'+C)(A'+B+C).) a. Write a product-of-sums Boolean expression bexp4 for the output ? of the truth table b. Draw a circuit that is a direct translation of bexp4 without any simplification. For the circuit, use a layout that is analogous to the layout of the sample circuit below (where the and and or gates are appropriately swapped).arrow_forwardComputer Science: Give the correct answer with the correct work being shown You have been asked to implement a digital circuit. This circuit consists of threeinputs (X1, X2, and M) and one output (OUT). When M equals 1, OUT will equal theBoolean OR of X1 and X2. If M equals 0, OUT will equal the Boolean AND of X1 and X2.a. Construct a truth table to describe the behavior of the circuit.b. Write the sum-of-products for OUT.c. Provide an implementation of your sum-of-products. You are to use AND, NOT, andNOR gates only.arrow_forward
- subject: Digital Logic &Design Q: For the 4-input multiplexer, data inputs are givenas: D0 = 0, D1 = 1, D2 = 0, D3 = 1Find the output Y if the select inputs are given as:a)S0 = 1, S1 = 0b)S0 = 0, S1 = 1c)S0 = 1, S1 = 1d)S0 = 0, S1 = 0arrow_forwardDesign a circuit using a Multiplexer, (((USING A MULTIPLEXER NOT A DECODER))) that has two inputs X, and S, where X represents an 8-bit BCD number,S is a sign bit. The circuit has one output Y, which is the Binary representation of thesigned-magnitude BCD number. A negative output is represented in the Binary 2’scomplement form.arrow_forwardUsing logic gates, design a circuit that has a capability to perform 4 bit binary addition orsubtraction based on the choice of the user. The circuit should accept decimal numbers from the users andthe sum will be displayed in a seven segment. Test the designed circuit in a simulation and submitscreenshots of sample inputs and outputs. Include in your submission your KMAP Solutions, truth tablesand sample manual calculations.arrow_forward
- Systems ArchitectureComputer ScienceISBN:9781305080195Author:Stephen D. BurdPublisher:Cengage Learning