$(6)$ Simplify the following logical expression by converting it into

an equivalent expression that is in a format that

contains no negation symbol $(not)$ outside any expression that contains

the logical connectives $vv,{?}^{{?}^{?}},.$

not$(notpvvqvv(rs))$

Note on format: An expression like

$a$notb would be in the required format, but

not$(x^{{?}^{?}}y)$ would NOT be in the required format.

Rewrite the statement $s$ in an equivalent if$-$then form:

$s$:$="$Do your homework or you won't be able to do design the

algorithm."