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Simplify the following expression:

Y = A B̅ C + A B̅ C̅ 


1. Y = C
2. Y = B
3. Y = A
4. Y = AB̅ 

1 Answer

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Best answer
Correct Answer - Option 4 : Y = AB̅ 

Analysis:

Y = A B̅ C + A B̅ C̅ 

= AB̅ (C + C̅ )

= AB̅  [Since, C + C̅ = 1]

Boolean Laws

Law

Dual Pair

Remark

A + B = B + A

A.B = B.A

Commutative Law

A + (B + C) = (A + B) + C

A (BC) = (AB) C

Associative Law

A (B + C) = AB + AC

A + (BC) = (A + B) (A + C)

Distributive Law

A + 1 = 1

A.1 = A

Identity Law/Redundancy Law

A + 0 = A

A.0 = 0

A + A = A

A.A = A

A + A̅ = 1

A.A̅ = 0

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