Database System Concepts
Database System Concepts
7th Edition
ISBN: 9780078022159
Author: Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher: McGraw-Hill Education
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Question
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
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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
Check Mark
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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