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(1) Prove the identity of each of the following Boolean equations using algebraic manipulation. (a) X'Y' X'Y + XY = X'+Y (b) A'BB'C' + AB + B'C = 1 (c) YX'Z XY' = X +Y+Z

(1) Prove the identity of each of the following Boolean equations using algebraic manipulation. (a) X'Y' X'Y + XY = X'+Y (b) A'BB'C' + AB + B'C = 1 (c) YX'Z XY' = X +Y+Z

Database System Concepts
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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Logic Design - Homework 3 (1) Prove the identity of each of the following Boolean equations using algebraic manipulation. (a) X'Y' X'Y + XY = X'+Y (b) A'BB'C' + AB + B'C = 1 (c) Y+X'Z XY' = X +Y+Z (2) Simplify the following expressions by using Boolean algebra. (a) F= (X(Y'+V+X'))'+((X+Z'+W') (Y+V+W'))' (b) F = X+Y(Z+(X+Z)') (c) F= WX(Z+YZ)+X(W+WYZ) F(X,Y,Z,W=WX (Z+YZ)+X (W+WYZ)
Transcribed Image Text:Logic Design - Homework 3 (1) Prove the identity of each of the following Boolean equations using algebraic manipulation. (a) X'Y' X'Y + XY = X'+Y (b) A'BB'C' + AB + B'C = 1 (c) Y+X'Z XY' = X +Y+Z (2) Simplify the following expressions by using Boolean algebra. (a) F= (X(Y'+V+X'))'+((X+Z'+W') (Y+V+W'))' (b) F = X+Y(Z+(X+Z)') (c) F= WX(Z+YZ)+X(W+WYZ) F(X,Y,Z,W=WX (Z+YZ)+X (W+WYZ)
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