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

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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