Exercise $1\mathrm{.}56$ Convert the following decimal numbers to $6-$bit two's complement

binary numbers and add them. Indicate whether the sum overflows a $6-$bit result.

$($a$){16}_{10}+9_{10}$

$($b$){27}_{10}+{31}_{10}$

$($c$)-4_{10}+{19}_{10}$

$($d$)310+-{32}_{10}$

$($e$)-{16}_{10}+-9_{10}$

$($f$)-{27}_{10}+-{31}_{10}$