Example 3.4: let F = A'C + A'B + AB'C + BC a) Express it in sum of minterms. b) Find the minimal sum of products expression. B Ans: ВС 00 A'B F(A, B, C) = E(1, 2, 3, 5, 7) = C+ A'B 01 11 10 mo m3 m2 1 1 ms 1 m4 m2 m 1 Figure 3.7 Map for Example 3.4, A'C + A'B + AB'C + BC = C + A'B Digital Techniques- Dr. Intisar A.M. AI Sayed 14

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
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Example 3.4: let F = A'C + A'B + AB'C + BC
a) Express it in sum of minterms.
b) Find the minimal sum of products expression.
В
Ans:
\BC
A'B
A
F(A, B, C) = E(1, 2, 3, 5, 7) = C+ A'B
00
01
11
10
mo
m
m3
m,
0.
1
1
1
m
m.
A{ 1
1
C
Figure 3.7 Map for Example 3.4, A'C + A'B + AB'C + BC = C + A'B
Digital Techniques- Dr. Intisar A.M. Al Sayed
14
Transcribed Image Text:Example 3.4: let F = A'C + A'B + AB'C + BC a) Express it in sum of minterms. b) Find the minimal sum of products expression. В Ans: \BC A'B A F(A, B, C) = E(1, 2, 3, 5, 7) = C+ A'B 00 01 11 10 mo m m3 m, 0. 1 1 1 m m. A{ 1 1 C Figure 3.7 Map for Example 3.4, A'C + A'B + AB'C + BC = C + A'B Digital Techniques- Dr. Intisar A.M. Al Sayed 14
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