Convert the following truth table to a Boolean equation: a 0 0 0 b 0 O|0|-|-|O 1 1 10 1 C 0 1 0 1 0 1 0 0 0 1 1 0 1 P

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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Convert the following truth table to a Boolean equation:
0
0
1
1
1
b
0
11
1
0
10
1
1
1
10
1
1
10
1
F
1
0
1
0
1
0
Transcribed Image Text:Convert the following truth table to a Boolean equation: 0 0 1 1 1 b 0 11 1 0 10 1 1 1 10 1 1 10 1 F 1 0 1 0 1 0
Expert Solution
Step 1

terms where value is 1

a=0,b=0,c=0

term=\bar a \bar b \bar c

a=0,b=1,c=1

term=\bar a b c

a=1,b=0,c=0

term=a \bar b \bar c

a=1,b=1,c=0

term=ab\bar c

We get the boolean expression by adding all these terms

expression, F = abc + abc + abc + abc

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