Need to Prove the validity of the following set of functions, reduced to minimum SOP form:?

C++ Programming: From Problem Analysis to Program Design
8th Edition
ISBN:9781337102087
Author:D. S. Malik
Publisher:D. S. Malik
Chapter8: Arrays And Strings
Section: Chapter Questions
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Need to Prove the validity of the following set of functions, reduced to minimum SOP form:? 

 

Table 2.13 All two-variable
a bf f₁ f₂
100
0 0
1 0
0 0
1 1 0
1000
f₂ f₂
f
0 0
0 0
1 1
1
1 0
functions.
f₂ f
0
1
f
0
1
0
0
0
1
f₁
0 0
1
1
1
1
0
1
fg
fgf,
f, f10 f₁1 f12
1
0
0
0
1
0
0
TOLO
1
1
0 0
1 1
1 0 1
1
1
0
0
f₁3 f₁4 f15
1
1
1
1
1
1
0
1
1
1
0
1
Transcribed Image Text:Table 2.13 All two-variable a bf f₁ f₂ 100 0 0 1 0 0 0 1 1 0 1000 f₂ f₂ f 0 0 0 0 1 1 1 1 0 functions. f₂ f 0 1 f 0 1 0 0 0 1 f₁ 0 0 1 1 1 1 0 1 fg fgf, f, f10 f₁1 f12 1 0 0 0 1 0 0 TOLO 1 1 0 0 1 1 1 0 1 1 1 0 0 f₁3 f₁4 f15 1 1 1 1 1 1 0 1 1 1 0 1
f12 = a'
f13 = a' + b
f₁4 = a' + b'
f15 = 1
=
Transcribed Image Text:f12 = a' f13 = a' + b f₁4 = a' + b' f15 = 1 =
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