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The Boolean expression

(A + C) (AB’ + AC) (AC’ + B’)

Can be simplified as:  


1. AB’ 
2. AB + A’C  
3. AB + BC
4. A’B + BC 

1 Answer

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Best answer
Correct Answer - Option 1 : AB’ 

Let f = (A + C) (AB' + AC) (AC' + B')

f = (A + C) ((AB' (AC' + B') + AC(AC' + B'))

f = (A + C) (AB'C' + AB' + AB'C)  -----> (AA = A, CC' = 0, B'B' = B)

f = (A+C) (AB' (C' +1 + C))

f = (A + C) AB'

f = AB' + AB'C

f = AB'(1 + C)

f = AB'

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