Realize the function

f$($A$,$ B$,$ C$,$ D$)=$ A$$C$+$ A$$B$$D$+$ ACD $+$ A$$BD$.$

$($Enter your answers as comma$-$separated lists.$)$

$($a$)$

Use a single $8-$to$-1$ multiplexer with an active low enable and an active high output. Use A$,$ C$,$ and D as the select inputs where A is the most significant and D is the least significant. $($Use the following as necessary: $0,1,$ and B$.)$ Show the function expansion both algebraically and on a Karnaugh map. $($Submit a file with a maximum size of $1$ MB$.$ Submissions will be graded by your instructor after the due date based on its accuracy. Your grade may change.$)$