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Give algebraic proof of absorption law of Boolean algebra.

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Give algebraic proof of absorption law of Boolean algebra.

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Absorption law states that

(i) X + XY = X and 

(ii) X(X + Y) = X

(i) X + XY = X

LHS = X + XY = X(1 + Y) = X . 1

[∵ 1 + Y = 1] = X = RHS.

Hence proved.

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