Given the following truth table, KMAP and SoP expression.
a) Implement F(A,B,C,D) using 3x8 Decoders with Active Low output and enable inputs and external gates
b) Implement F(A,B,C,D) using an 8x1 MUX and external gates, with A, B, and C as the selection inputs of the MUX.
c) Implement F(A,B,C,D) using a 4x1 MUX and external gates, with C and D as the selection inputs of the MUX.
\begin{tabular}{cccc|c} A & B & C & D & F \\ \hline 0 & 0 & 0 & 0 & 1 \\ 0 & 0 & 0 & 1 & 1 \\ 0 & 0 & 1 & 0 & 1 \\ 0 & 0 & 1 & 1 & 1 \\ 0 & 1 & 0 & 0 & 1 \\ 0 & 1 & 0 & 1 & 0 \\ 0 & 1 & 1 & 0 & 1 \\ 0 & 1 & 1 & 1 & x \\ 1 & 0 & 0 & 0 & 1 \\ 1 & 0 & 0 & 1 & 0 \\ 1 & 0 & 1 & 0 & 1 \\ 1 & 0 & 1 & 1 & 1 \\ 1 & 1 & 0 & 0 & 1 \\ 1 & 1 & 0 & 1 & 1 \\ 1 & 1 & 1 & 0 & 1 \\ 1 & 1 & 1 & 1 & x \end{tabular}
Output: Format:
A?B?+D?+C+A