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

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

Problem 1PE

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Concept explainers

Longest Common Subsequence

The Longest Common Subsequence (LCS) is defined as the longest subsequence that is shared by all of the given sequences, assuming that the subsequence's elements do not have to be in consecutive locations in the original sequences. It is used in the areas like bioinformatic, revision control systems like SVN and Git.

Question

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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