Create a diagram for each listed formula, using a$,$ b$,$ and c as input variables and z and s as output variables. Construct these diagrams using only NOT gates, two AND gates, and two OR gates.$($a$)z-=a^{{?}^{?}}{b}^{{?}^{?}}c$

$($b$)z-=(avvb{)}^{{?}^{?}}a$

$($c$)z-=not{a}^{{?}^{?}}(avvb)$

$($d$)(z-=a^{{?}^{?}}$notb${)}^{{?}^{?}}(s-=a^{{?}^{?}}b)$

$($e$)(z-=a^{{?}^{?}}b{)}^{{?}^{?}}(s-=a^{{?}^{?}}{b}^{{?}^{?}}c)$