Implement the following functions with two $4-$to$-1$ line multiplexers and a single inverter.

$F(x,Y,Z)=m(0,1,5,7)$

$G(x,Y,Z)={\displaystyle \underset{?}{\overset{?}{}}}m(0\mathrm{.}2\mathrm{.}6\mathrm{.}7)$

a$.(10$ points$)$ Create the truth table for the two functions.

b$.(10$ points$)$ Implement the two functions with two $4-$to$-1$ line multiplexers and a single inverter.