HW$5\mathrm{.}3.$ Expressing a Boolean Function as a Minimal Product of Sums $(3$ Variables, Don't

Cares$)$

Express $F(A,B,C),$ given by the following truth table, as a minimal Boolean product of sums.

Syntax: Use $\text{'}($single quote$)$ after a variable to represent negation, $+($plus$)$ to represent OR$,$

and $*($asterisk$)$ or juxtaposition to represent AND. For example, enter the expression

$(A\frac{+}{b}ar(B))C$ as $(A+B^{\text{'}})C.$