Correct Answer - Option 4 : Y = AB̅
Analysis:
Y = A B̅ C + A B̅ C̅
= AB̅ (C + C̅ )
= AB̅ [Since, C + C̅ = 1]
Boolean Laws
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Law
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Dual Pair
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Remark
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A + B = B + A
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A.B = B.A
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Commutative Law
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A + (B + C) = (A + B) + C
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A (BC) = (AB) C
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Associative Law
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A (B + C) = AB + AC
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A + (BC) = (A + B) (A + C)
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Distributive Law
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A + 1 = 1
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A.1 = A
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Identity Law/Redundancy Law
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A + 0 = A
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A.0 = 0
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A + A = A
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A.A = A
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A + A̅ = 1
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A.A̅ = 0
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