Perform the following additions with $8-$bit binary numbers. Then, compute the decimal

values of the sums using the same corresponding representations $($i$.$e$.,$ Signed Magnitude for part $($a$),$

and etc.$).$ Show all your work.

$($a$)$ Add the Signed Magnitude representation of $27$ to the Signed Magnitude representation of $27.$

$($b$)$ Add the $1$s$$ Complement representation of $34$ to the $1$s$$ Complement representation of $34.$

$($c$)$ Add the $2$s Complement representation of $59$ to the $2$s Complement representation of $59.$

$($d$)$ Add Unsigned binary representation of $153$ to the Unsigned binary representation of $102.$