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4. Algebraically prove identities involving exclusive-OR (XOR) operation: а) X Х%3D0 h) (X Y)' = X' Y

4. Algebraically prove identities involving exclusive-OR (XOR) operation: а) X Х%3D0 h) (X Y)' = X' Y

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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4. Algebraically prove identities involving exclusive-OR (XOR) operation: a) X X=0 b) (X Y)' = X' Y
Transcribed Image Text:4. Algebraically prove identities involving exclusive-OR (XOR) operation: a) X X=0 b) (X Y)' = X' Y
Expert Solution
Step 1

a) X⊕X = XX' + X'X  (Since X⊕Y = XY' + X'Y)

=0+0=0  

So X⊕X = 0

 

 

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