Question $1$

$($a$)$ Use a K$-$map to simplify the function $F,$ together with the don't$-$care conditions $d.$ Hence,

express $F$ in the simplest sum$-$of$-$products form.

$F(A,B,C)={\displaystyle \underset{?}{\overset{?}{}}}m(0,2,3)$

$d(A,B,C)={\displaystyle \underset{?}{\overset{?}{}}}m(4,6)$

$($b$)$ Given the Boolean function $F$ below.

$F(A,B,C,D)={\displaystyle \underset{?}{\overset{?}{}}}m(0,1,5,9,11,12,13,15)$

Implement $F$ using a $4-$to$-1-$line multiplexer. Show your design steps clearly.