The output function in sum of minterms: $*$

$($a$)$ Using $2-$Input gates

$F={\displaystyle \underset{?}{\overset{?}{}}}(0,2,4,7)$

$F={\displaystyle \underset{?}{\overset{?}{}}}(0,1,4,7)$

F$=$x$\text{'}$y$\text{'}$z$+$x$\text{'}$yz$\text{'}+$ xy$\text{'}$z$\text{'}+$xyz