Binary Arithmetic and Logic $(3$ points each $+1$ pt bonus for getting all $8)$

All numbers similar in form to $"-13.($dec$)"$ or $"11111.($bin$)"$ are integers.

$-23.(dec)=$ In $6-$bit two's comp. integer binary

$-30.\frac{\text{d}\text{e}\text{c}}{2}(dec)=$ in $6-$bit two's comp. bin

$-15.(dec)+-4.(dec)=q,$ in $q,-$bit two's comp. bin Fill second blank with how many bits we need to avoid overflow in the result.

$2.(dec)+111110.($bin$)=q,($dec$)$ if operands and output are $6-$bit two's comp

For the next $3$ problems, output and binary inputs are to be $5$ bit integer $+5$ bit fractional two's comp.

$-15\mathrm{.}5(dec)3(dec)q,$

$($bin$)($logical right shift$)$

$-15\mathrm{.}5(dec)>3(dec)q,$

$($bin$)($arithmetic right shift$)$

$5\mathrm{.}75(dec)+11111.(bin)=$

$($bin$)$

$-12\mathrm{.}375(dec)$ in two's comp. binary w$/5$ integer $+5$ fractional bits