$13.$ The following table shows all possible permutations of two inputs and five desired outputs. What are

the Boolean expressions that match the desired outputs.

What are the Boolean expressions corresponding to $($a$)$ through $($e$)?$

$3$

A B $($a$)($b$)($c$)($d$)($e$)$

$0001011$

$0110011$

$1000010$

$1111011$

$14.$ Show the steps and the final answer to simplify the following expression:

XY$($XZ $+$ Y Z$)$

There should be about $8$ steps.

$15.$ Find the Sum$-$Of$-$Products expression for F from the following truth table:

X Y Z F

$0000$

$0010$

$0101$

$0110$

$1001$

$1011$

$1100$

$1111$