$5$A$)$ Design and implement a MOD$-5$ synchronous counter using JK flip$-$flops and draw its timing

diagram.

$5$B$)$ Design a $22$ bit combinational multiplier using basic gates.

$5$C$)$ Solve the POS function minimization of $5$ variable K$-$Map using the following expression:

$M(0,2,4,7,8,10,12,16,18,20,23,24,25,26,27,28).$