Design a combinational circuit that has two $2-$bis input $($x$1$x$0$ and y$1$y$0)$ and

produce a high output when the two binary numbers x$1$x$0$ and y$1$y$0$ are equal

or y$1$y$0$ is the $1$s complement of x$1$x$0.$

a$)$ List the truth table for the combinational circuit.

b$)$ Using Karnaugh map, find the minimum Sum of Products $($SOP$)$ expression

of the output.

c$)$ Using Karnaugh map, find the minimum Product of Sums $($POS$)$ expression

of the output