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?
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.
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