Part A For Part A$,$ implement the truth table below using either CANONICAL Sum of Products $($SOP$)$ or Product of Sums $($POS$)$ using gates, not transistors. Label your inputs and outputs exactly as is shown below $($wrong case or spaces will fail the auto$-$grade$),$ as they will be referenced in grading. You MUST not simplify the SOP$/$POS expression at this stage! in$\_0$

in$\_1$

in$\_2$

out$\_0$

$0$

$0$

$0$

$0$

$0$

$0$

$1$

$1$

$0$

$1$

$0$

$1$

$0$

$1$

$1$

$0$

$1$

$0$

$0$

$0$

$1$

$0$

$1$

$1$

$1$

$1$

$0$

$0$

$1$

$1$

$1$

$1$