We have a combinational circuit that has two binary inputs A and B$.$ Each input has two$-$bits:

$A=A_1{A}_0$

$B=B_1{B}_0$

The output of the circuit Out is one$-$bit. Out should have the following values based on the inputs:

If $AB,$ Out $=1$

Else, Out $=0$

Fill the below truth table for this combinational circuit:

$\backslash$table$[[A_1,A_0,B_1,B_0,$Out$],[,,,,],[,,,,],[,,,,],[,,,,],[,,,,],[,,,,],[,,,,],[,,,,],[,,,,],[,,,,],[,,,,],[,,,,],[,,,,],[,,,,],[,,,,],[,,,,]]$

Q$5)[2$ points$]$ Bonus Question: Marks for this question will carry to the final grade.

Find the Boolean expressions for outputs $x$ and $Y$ of the following circuit:

$24$ Do it with truth table and explain each step