Implement the following logic function using a $4-$to$-1$ multiplexer wherein the control S; and $S_p$ will be A and $B.$

$F(A,B,C,D)={\displaystyle \underset{?}{\overset{?}{}}}m(3,4,5,6,7,9,10,12,14,15)$

Provide the following:

a$,$ Complete Truth Table of the Design $(2$ points$)$

b$.$ Design Solution using Minterm Expansion $(4$ points$)$

c$.$ Completely Labelled Block Diagram of the Design $(4$ points$)$