Q$2.$ Consider the following K$-$map for some function. Simplify the K$-$map. For simplification, you have the option of using the don't

care d$(3,9).$ The final simplified expression should have a minimum number of literals. $[1\mathrm{.}5$ Marks$]$

Q$3.$ Mr$.$ Manoj wants to design a combinational circuit whose output is equal to $1$ if the input variables $AB$ is mirror of $CD.$ The

output is $0$ otherwise. You are required to help Mr$.$ Manoj in the design of a $4-$input combinational circuit using a multiplexer.

Example: if $AB$ is $01,$ its mirror is $10$ which is $CD,$ output should be $1.$

Present your solution in the following sequence: $[3$ Marks$]$

$1.$Draw a truth table.

$2.$Obtain Boolean expression and identify minterms.

$3.$Draw the logic diagram using Multiplexer.