(c) A S B C Functional expression Truth Table: A B S C
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The circuit consists of two inputs, A and B, and two outputs, S and C. The top gate is an XOR gate, with inputs A and B, and output S. The bottom gate is an AND gate, with inputs A and B, and output C. Show more…
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The Boolean expression for the truth table is $$ \begin{array}{llll} \hline \boldsymbol{A} & \boldsymbol{B} & \boldsymbol{C} & \boldsymbol{f} \\ \hline 0 & 0 & 0 & 0 \\ 0 & 0 & 1 & 0 \\ 0 & 1 & 0 & 0 \\ 0 & 1 & 1 & 1 \\ 1 & 0 & 0 & 0 \\ 1 & 0 & 1 & 0 \\ 1 & 1 & 0 & 1 \\ 1 & 1 & 1 & 0 \\ \hline \end{array} $$ (A) $B(A+C)(\bar{A}+\bar{C})$ (B) $\bar{B}(A+\bar{C})(\bar{A}+\bar{C})$ (C) $B(A+\bar{C})(\bar{A}+C)$ (D) $\bar{B}(A+C)(\bar{A}+\bar{C})$
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