$(10$ points$)$ a$)$ Provide the truth table and the Product of Maxterms Boolean expression for function $F$ in ter of $A,B$ and $C,$ for the following function:

$F(A,B,C)={\displaystyle \underset{?}{\overset{?}{}}}m(0,2,4,5)$

b$)$ Draw the combinational logic circuit for the Product of Maxterms Boolean expression for function $F$ abov