Question $4$:

Given the truth table for functions $F_1$ and $F_2$ :

a$)$ Draw a $2-$level AND$-$OR circuit that implements $F_1$

b$)$ Draw a $2-$level OR$-$AND circuit that implements $F_2$

c$)$ Write an algebraic expression for the dual of function $F_1$

Ouestion $5$:

Given the following Boolean functions $f$ and $g$ :

$f(x,y,z)=$prod$(1,2,5,6,7)$

$g(x,y,z)={\displaystyle \underset{?}{\overset{?}{}}}(0,2,4,6,7)$

a$)$ Write an algebraic expression for $f$ as a sum$-$of$-$minterms

b$)$ Express the function $f+g$ as a sum$-$of$-$minterms, $f+g={\displaystyle \underset{?}{\overset{?}{}}}(dots)$

c$)$ Write an algebraic expression for $(f^{\text{'}}*g)$ as a product$-$of$-$maxterms