$($c$)$ Design the combinational logic for the function $F$ using a $2-$to$-1$ multiplexer. $(2$pt$)$Q$3.$ Consider the following logic function.

$F(A,B,C)=A^{\text{'}}{B}^{\text{'}}{C}^{\text{'}}+A^{\text{'}}B{C}^{\text{'}}+AB{C}^{\text{'}}+$ABC

$($a$)$ Draw Truth table and design the combinational logic for the function $F$ using an $8-$to$-1$ multiplexer. $(1$pt$)$

$($b$)$ Design the combinational logic for the function $F$ using a $4-$to$-1$ multiplexer. $(2$pt$)$