$(15$ points$)$ Perform the arithmetic operations on the following binary numbers assuming they are based on $8-$bit representation and $2\text{'}$s complement. You are only allowed to perform add operations. All negative numbers should be handled using $2\text{'}$s complement.

$($a$)00111010-00010110$

$($b$)00001001-11100101$

$($c$)11100101-00001001$