Question $3(25$ marks$)$

a$)$ Write the Boolean equation for the output $W$ of the truth table below?

$[8$ Mark$]$

b$)$ Simplify the Boolean equation in $($a$)$ using the K$-$Map technique. Show each step

taken clearly.

$[10$ Mark$]$

c$)$ Draw the simplified circuit$-$based result in $($b$)$