$1)$ Assume A and B are $3-$bit unsigned binary integers each. Design and implement a combinational

digital adder$/$subtractor circuit $($A$+$B or A$-$B$)$ that adds only if A is even, and B is odd; and

subtracts only if A is a multiple of $3$ and B is even.

$($a$)$ Construct the truth table for the adder$/$subtractor circuit.

$($b$)$ Construct the logical condition needed for addition as a Boolean function.

$($c$)$ Construct the logical condition needed for subtraction as a Boolean function.

$($d$)$ Draw the logic circuit for the adder$/$subtractor that operates with the conditions given in the

question