alleryStart learning →In Boolean algebra, the absorption law A + A·B simplifies to which expression?
AB always (A drops out completely)
BA·B always less than A in all cases
CA (A dominates the OR when A=1)
DA + B always (B added to result)
Answer & Solution
Correct answer: C. A (A dominates the OR when A=1)
Absorption: A + A·B = A·(1 + B) = A·1 = A. Companion form A·(A+B) = A. Reduces gate count in two-level minimisation (Mano Ch.2).
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