$.$ Construct a truth table for each of these compound propositions.

$($a$)$p $($p $$ q$)$

$($b$)($p $$ q$)($p $$ q$)$

$($c$)($p $$ q$)$ r

$($d$)($p $$q$)->$ r

$3.$ Evaluate each of the following expressions.

$($a$)11000(0101111011)$

$($b$)(0111110101)01000$

$($c$)(0101011011)01000$

$($d$)(1101101010)(1000111000)$