Design a combinational circuit with a 4-bit input A (A3A2A1A0) and a 5-bit output B(B4B3B2B1B0), where each value of B must be according to the following equation B = A × 2.Your design must include a truth table, K-maps, simplified Boolean equations, and final circuit.After you complete your design, indicate your comment.

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Systems Architecture

7th Edition

ISBN:9781305080195

Author:Stephen D. Burd

Publisher:Stephen D. Burd

Chapter4: Processor Technology And Architecture

Section: Chapter Questions

Problem 9VE

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Design a combinational circuit that increments the 4-bit binary input. The output of the circuit is also represented as 4 bits. For example, if the input is 0011 then the output is 0100. Note: the increment of 1111 is 0000. Let the input variables be A, B, C, and D, while the output variables be W, X, Y, and Z. What is the boolean function (in sum of minterm format) of output W? What is the boolean function (in sum of minterm format) of output X? What is the boolean function (in sum of minterm format) of output Y? What is the boolean function (in sum of minterm format) of output Z?
Create a 1-bit XOR circuit using only AND, OR, and NOT gates. Explicitly show all steps starting from the truth table for XOR, then listing the logical expressions for when XOR is 1, and then translating the expressions into a circuit.
Design a circuit with a 4-bit BCD input A, B, C, D that produces an output W, X, Y, Z that is equal to the input + 3 in binary. For example, 9 (1001) + 3 (0011) = 12 (1100). The outputs for invalid BCD codes are don’t-cares. Write the truth table and the Karnaugh maps used to simplify the Boolean expression!
Design a combinational circuit that accepts a 4-bit input and checks if the input is a palindrome or if the first two bits are equal to the last two bits. Let the input be represented as A, B, C, D, while the output be represented as F. Let the output be F=1 if the input is a palindrome or if the first two bits are equal to the last two bits, and F=0 if otherwise. What is the boolean function (in sum of minterm format) of output F? After simplifying in sum of product format, how many terms are there in the Boolean function? List one of the possible terms:
Design a 1-bit subtraction circuit. This circuit takes three inputs-two binary digits a and b and a borrow digit from the previous column. The circuit has two outputs-the difference (a – b), including the borrow, and a new borrow digit that propagates to the next column. Create the truth table and build the circuit. This circuit can be used to build N-bit subtraction circuits.
Design a combinational circuit with three inputs x, y, and z, and three outputs, A, B, and C. When the binary input is 0, 1, 2, or 3, the binary output is one greater than the input. For example, if the inputs are 000, the outputs are 001. When the binary input is 4, 5, 6, or 7, the binary output is two less than the input. For example, when inputs are100, the outputs are 010. Show the truth table for the inputs and outputs. please show all steps , dont just explain
Design a combinational circuit for four inputs in a way that if the input is less than 8, output will be 2 higher than the respective input. For the other inputs, outputs will be 1 lower than the respective inputs. Example: if input is 3 (0011), output will be 5(0101). But if input is 11 (1011), output will be 10 (1010).
My group number input is 0111 so you must write the input 0111
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Design a 16 bit adder/subtractor with 2 data inputs (B15 to B0 and A15 to A0), a SEL input (1 if add and 0 if subtract), and a result output (R15 to R0).You can design the circuit in MultiSim, VHDL, or LabVIEW. PLEAE USE MULTISIM
Given 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 endmodule
Design a combinational circuit that can print 1921456 into the seven-segment display. You can use only one seven-segment display. For different input, it will show different digits of your number.Design this combinational circuit using MUX & DECODER

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