Chapter $5,$ problem $9$: $(10$ pts$)$ We want to implement a full adder: we$$ll call the inputs a$,$ b$,$ and

c and the outputs s and cout. As always, the adder is described by the following equations:

s$($a$,$ b$,$ c$)=$m$(1,2,4,7)$

cout$($a$,$ b$,$ c$)=$m$(3,5,6,$