Using Boolean identities, reduce the given Boolean expression: A(A+1) + A(B+0) + C.1

Computer Studies

JAMB 2023

Using Boolean identities, reduce the given Boolean expression:
A(A+1) + A(B+0) + C.1

A. A + B + C
B. A.B.C
C. A.B + C
D. A + C

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Correct Answer: Option D

Explanation

Using Boolean identities, the given Boolean expression A(A+1) + A(B+0) + C.1 can be reduced as follows: A.1 + A.B + C = A + A.B + C = A + C. The Boolean identity A + A.B = A is used here, which states that if A is true, the whole expression is true regardless of the value of B.

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