Question $1($Data Representation$)15$ points

$($a$)$ Represent the following pairs of decimal numbers in $5-$bit, signed, $2$s complement numbers

format and add them. State, whether or not overflow occurs in each case.

$1)5$ and $10$

$2)7$ and $13$

$3)-14$ and $11$

$4)-10$ and $-13$

$($b$)$ Repeat Part $($a$)$ for the subtract operation, where the second number of each pair is to be

subtracted from the first number. State whether or not overflow occurs in each case.