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Question
Which term is redundant in the expression AB + A'C + BC ?
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The Correct Answer is AB + A'C.
The simplification of the boolean expression:
AB+A’C+BC = AB + A’C + BC*1 {as A*1 = A}
= >AB + A’C + BC(A + A’) {as Complement law: A + A’ = 1}
= >AB + A’C + ABC + A’BC {as Absorption law: A(B + C) = AB + BC & AB = BA}
= >AB + ABC + A’C + A’CB {as Commutative Law: A + B = B + A & AB = BA}
= >AB*1 + ABC + A’C*1 + A’CB {as A*1 = A}
= >AB(1 + C) + A’C(1 + B) {as AB + BC = A(B + C)}
= >AB*1 + A’C*1 {as 1 + A = 1}
= >AB + A’C {as A*1 = A} ans
Commented May 25 , 2025
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