$(2)$ a$)$ Implement the following Boolean

function $F(A,B,C,P)={\displaystyle \underset{?}{\overset{?}{}}}m(4,6,7,8,12,15)$

with a single $8\frac{1}{M}Ux.$ Assume the

inputs A$,$ B$,$ C are used for the select

lines.

b$)$ What is the 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.