Question
Simplify the Boolean expression. Y=
AB+A(B+C)+B(B+C)Solution
Given expression: Y = AB + A(B + C) + B(B + C) Expand terms: Y = AB + AB + AC + B.B + BC Simplify: AB +AB = AB B.B = B So, Y = AB + AC + B + BC Combine terms: Y = AB + B + AC + BC Y = B(A + 1) + AC + BC Y = B + AC + BC Y = AC + B(1 + C) Y = AC + B Y = B + AC
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