Question $1$: Show the steps in the implementation of the algorithms to obtain the result of the

following instructions. $(0\mathrm{.}5$ points each$)$

$($a$)$ Show the steps in the $($shift and add$)$ binary multiplication algorithm to multiply two $6-$bit

signed $($two$\text{'}$s complement$)$ numbers. Write the resultant register in hexadecimal.

mult $s$0,$ $s$1$ # $s$0=0$xFFFFFFE$4$ and $s$1=0$x$18$

mflo $s$2$

$($b$)$ Show the steps in the $($shift and subtract$)$ binary division algorithm to compute the quotient

and remainder when two $6-$bit signed $($two$\text{'}$s complement$)$ numbers are divided. Write the

resultant registers in hexadecimal.

div $s$0,$ $s$1$ # $s$0=0$xFFFFFFE$4$ and $s$1=0$x$18$

mflo $s$2$

mfhi $s$3$