Answer the following questions.

$8M=4+1+2$

a$)$ Implement the following Boolean function $F(A,B,C,D)={\displaystyle \underset{?}{\overset{?}{}}}m(4,6,7,8,12,15)$ with a single $81$ MUX. Assume that the inputs $A,B,$ and $C$ are used for the select lines.

b$)$ What is role of FSM $($Finite State Machine$)$ in LC$-3$ Architecture?

c$)$ Complete the timing diagram for the D input of a negative edge triggered D Flip$-$Flop.

D

Clock

Q