Use Karnaugh Map to find the minimum sum of product (AND-OR) expressions 1. 2 variables b b b 1 1 1 00 01 1 1 a а 1 10 11 a a 3 Σ(0,1,2)-sh Σ(1,2,3)- E(1,3)= 2. 3 variables b 00 01 11 10 b 000 001 011 010 1 3 2 1 1 a 1 100 101 111 110 a 1 4 5 7 Σ( 0, 2, 4,6) %3D b b 1 1 1 1 1 a a E(0,4,5,7) =ac' + b'c' + ab' E(2,3,4,6,,7) =
Use Karnaugh Map to find the minimum sum of product (AND-OR) expressions 1. 2 variables b b b 1 1 1 00 01 1 1 a а 1 10 11 a a 3 Σ(0,1,2)-sh Σ(1,2,3)- E(1,3)= 2. 3 variables b 00 01 11 10 b 000 001 011 010 1 3 2 1 1 a 1 100 101 111 110 a 1 4 5 7 Σ( 0, 2, 4,6) %3D b b 1 1 1 1 1 a a E(0,4,5,7) =ac' + b'c' + ab' E(2,3,4,6,,7) =
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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![Use Karnaugh Map to find the minimum sum of product (AND-OR) expressions
1. 2 variables
b
1
1
1
00
01
1
1
1
a
1
а 1
10
11
a
a
2
Σ(0,1,2)-atb
Σ(1,2,3)-
Σ(1,3 )-
2. 3 variables
b
00
01
11
10
b
000
001
011
010
1
3
2
1
1
a 1
100
101
111
110
1
1
a
4
5
7
Σ(0, 2,4,6)
%3D
b
b
:1
1
1
1
1
a
a
E(0,4,5,7) =ac' + b'c' + ab'
E(2,3,4,6,,7) =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6c5821ef-1fb9-47fd-a3c8-340366a445f0%2F3029bf3f-30d2-408c-883f-e37053ba81c7%2F4wo67g_processed.png&w=3840&q=75)
Transcribed Image Text:Use Karnaugh Map to find the minimum sum of product (AND-OR) expressions
1. 2 variables
b
1
1
1
00
01
1
1
1
a
1
а 1
10
11
a
a
2
Σ(0,1,2)-atb
Σ(1,2,3)-
Σ(1,3 )-
2. 3 variables
b
00
01
11
10
b
000
001
011
010
1
3
2
1
1
a 1
100
101
111
110
1
1
a
4
5
7
Σ(0, 2,4,6)
%3D
b
b
:1
1
1
1
1
a
a
E(0,4,5,7) =ac' + b'c' + ab'
E(2,3,4,6,,7) =
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