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a) F=A'BC' + ABC + A'BC b) F=X+(XY)' c) F= X(Y+Z)

a) F=A'BC' + ABC + A'BC b) F=X+(XY)' c) F= 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
Problem 1PE
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Question

Compute the truth table for the following expressions:

The image presents three Boolean expressions: a) \( F = A'B'C' + ABC + A'BC \) b) \( F = X + (XY)' \) c) \( F = X(Y+Z') \)
Transcribed Image Text:The image presents three Boolean expressions: a) \( F = A'B'C' + ABC + A'BC \) b) \( F = X + (XY)' \) c) \( F = X(Y+Z') \)
Expert Solution
Step 1

Step 1:-

Given:-

Compute the truth table :-

a)F=A'BC'+ABC+A'BC

b)F=X+(XY)'

c)F=X(Y+Z')

Step 2

Step 2:-

Answer:-

a)

A B C A' C' A'BC' ABC A'BC F=A'BC'+ABC+A'BC
0 0 0 1 1 0 0 0 0
0 0 1 1 0 0 0 0 0
0 1 0 1 1 1 0 0 1
0 1 1 1 0 0 0 1 1
1 0 0 0 1 0 0 0 0
1 0 1 0 0 0 0 0 0
1 1 0 0 1 0 0 0 0
1 1 1 0 0 0 1 0 1
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