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

JAMB Computer Science 2023 210 views
Source: JAMB · 2023

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

  1. A.B + C
  2. A + C ✓
  3. A + B + C
  4. A.B.C
Explanation

Use these identities: A + 1 = 1, B + 0 = B, and C · 1 = C.

A(A+1) = A · 1 = A. A(B+0) = A·B. So the expression is A + A·B + C. Since A + A·B = A(1 + B) = A, the answer is A + C.

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