Simplify Y = AB’ + (A’ + B)C.
a) AB’ + C
b) AB + AC
c) A’B + AC’
d) AB + A
Answer: Option A: AB' + C
Explanation:
Y = AB’ + (A’ + B)C
= AB’ + (AB’)’C
= (AB’ + C)( AB’ + AB’)
= (AB’ + C).1
= (AB’ + C)
Right choice is (a) AB’ + C
To explain I would say: Y = AB’ + (A’ + B)C = AB’ + (AB’)’C = (AB’ + C)( AB’ + AB’) = (AB’ + C).1 = (AB’ + C).
simplify the boolean expression: F= (A+B).(AB' + AC).(A'C' + B')
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