Evaluate expression by using convention , Computer Engineering

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Evaluate x = A‾.B + C() using the convention A = True and B = False.

Ans. Simplify given expression x = A‾ .B + C () as
= A‾ B + C (A‾+ D‾) (As = A‾+D‾ using Demorgan's Law)
= A‾ .B + C .A‾ + C.D‾
Using the specified convention as, A = True = 1; B = False = 0
=1‾.0 + C.1‾+ C.D‾ = 0 + 0 + C.D‾ = C.D‾

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