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Minimize the logic function F(A, B, C, D) = ∑ m(1,3,5,8,9,11,15) + d(2,13) using NOR gates with help of K-map.
Ans. Realization of given expression by using NOR gates:In POS form the minimized logic expression is F = (A + B‾ + C‾ ) ( C‾ +D) ( B‾ +D) (A+D) therefore the logic diagram for the simplified expression is shown in fig.
Fig. Logic Diagram
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Q.Prove using Boolean Algebra 1. X (X+Y) = X 2. AB + AC + BC' = AC + BC' 3. (A+B+C) (A+B'+C') (A+B+C') (A+B'+C)=A 4. (A+B'+C) (AB+A'C) = (A+C) (A'+B) 5. XY + XZ + YZ
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