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Simplify the Boolean expression A.(B + C).

Simplify the Boolean expression A.(B + C). Correct Answer A.B + A.C

The answer to the above question can be verified using the following truth table. A B C A.B A.C B+C A.(B+C) A.B+A.C 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 1 0 0 0 1 0 0 0 1 1 0 0 1 0 0 1 0 0 0 0 0 0 0 1 0 1 0 1 1 1 1 1 1 0 1 0 1 1 1 1 1 1 1 1 1 1 1 From the above table it can be verified that A.(B + C) = A.B + A.C. Thus, the first Distributive Law of Boolean Algebra is verified.

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