$(3$ points$)$ Find the maximum and minimum value that can be represented using $9$ binary

digits assuming these digits represents:

$($a$)$ An unsigned number.

$($b$)$ A signed number in $2\text{'}$s complement representation.

$($c$)$ A signed number given in sign and magnitude representation.

$(8$ points$)$ For the following questions, perform the arithmetic operation assuming all

numbers are signed numbers in $2\text{'}$s complement representation. Give the value for the V

and C flags after performing each of the operations specified. Show your work for full credit.

The operands as well as the result are assumed to be of size $8$ bit only.

$($a$)(2$ points$)7A_{16}+{58}_{16}.$

$($b$)(2$ points$)3C_{16}-{61}_{16}.$

$($c$)(2$ points$)C{2}_{16}-7E_{16}.$

$($d$)(2$ points$)E{E}_{16}+B{9}_{16}.$