$(10$ points$)$ In lecture $5$ we discussed statements that are valid and inconsistent. Are the following statements valid, inconsistent or neither? Justify your answer.

$($a$)A+$notA

$($b$)A+B$

$($c$)not{B}^{{?}^{?}}{B}^{{?}^{?}}$notB

$($d$)not{A}^{{?}^{?}}(AvvB{)}^{{?}^{?}}$notB

$($e$)$ Explain in $2-3$ sentences: We saw in lecture that a logic statement can be written as a circuit using gates. Is a logic statement which is valid $($or inconsistent$)$ useful for doing computation as a circuit?