$4)$ Consider the function F$($A$,$B$,$C$,$D$)=\backslash$Sigma $(0,2,3,7,10,11,12,15).$ Assume we want to implement this function using an $8-$to$-1$ multiplexor. Select Multiplexer for the Plexer Library and set the number of Select Bits to $3.$ What would the Input Selection Table and logic circuit look like if we used:

a$)$ D as the input and A$,$ B$,$ C as the selector lines $($S$2,$ S$1,$ S$0$ respectively$)$

b$)$ A as the input and D$,$ B$,$ C as the selector lines $($S$2,$ S$1,$ S$0$ respectively$)$ For each part, hand in the Input Selection Table and a properly formatted logic circuit showing the output when the input for ABCD is $1011.$ Please use Ground and Power in the Wiring Library for $0$ and $1$ respectively