Answer the following. Show your work.

a$)$ Express the following three$-$variable functions in sum of minterms form:

$F_1=AC\frac{+}{b}ar(A)BC$

$F_2=AB+\frac{A}{b}ar(B)C$

$F_3=A\frac{B}{b}ar(C)+AC$

Report $($and box!$)$ your final answers to this part in sum of minterms

form, for example, like so $($note that the sum of minterms given below may

or may not be correct$)$:

$F_1={\displaystyle \underset{?}{\overset{?}{}}}m(0,1,2)$

b$)$ Based on the results of part $($a$),$ are any of the three functions, $F_1,F_2,F_3$

equivalent? If so$,$ which ones? How can you tell? Explain.