Chapter $7,$ problem $16$: $(10+10pts)$ For each of the following problems show a state table or a state diagram.

a$)$ A Moore system that produces a $1$ output iff the input has been $0$ for at least two consecutive clocks followed immediately by two or more consecutive $1\text{'}$s $($five states$).$

c$)$ A Mealy system that produces a $1$ output iff the input has been $1$ for three or more consecutive clock times or $0$ for three or more consecutive clock times. When first turned on$,$ it is in an initial state $S_0($There are four additional states.$).$