(d) From the truth table, express the 2-variable XOR operation in terms of 2-variable NAND and OR operations. Give your answer by writing an algebraic equation. (e) Draw the circuit diagram that implements your answer in part (d). (f) Map your answer in part (e) so it is implemented using NAND gates and NOT gates only.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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Solve D,E,F

Question B1
(a) Perform the arithmetic operation (-25)- (-26) in binary using signed 2's complement
representation for negative numbers. Use a minimum number of bits to represent the
numbers. Show the steps.
(b) Write the sum-of-product representation of a 2-input exclusive OR (XOR) operation with
inputs A and B, and output Q.
(c) Draw the truth table for XOR, NAND, and OR operations for two inputs A and B, with
headers clearly showing the operations and their equations.
(d) From the truth table, express the 2-variable XOR operation in terms of 2-variable NAND and
OR operations. Give your answer by writing an algebraic equation.
(e) Draw the circuit diagram that implements your answer in part (d).
(f) Map your answer in part (e) so it is implemented using NAND gates and NOT gates only.
Transcribed Image Text:Question B1 (a) Perform the arithmetic operation (-25)- (-26) in binary using signed 2's complement representation for negative numbers. Use a minimum number of bits to represent the numbers. Show the steps. (b) Write the sum-of-product representation of a 2-input exclusive OR (XOR) operation with inputs A and B, and output Q. (c) Draw the truth table for XOR, NAND, and OR operations for two inputs A and B, with headers clearly showing the operations and their equations. (d) From the truth table, express the 2-variable XOR operation in terms of 2-variable NAND and OR operations. Give your answer by writing an algebraic equation. (e) Draw the circuit diagram that implements your answer in part (d). (f) Map your answer in part (e) so it is implemented using NAND gates and NOT gates only.
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