$5.$ 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

$-30.($dec$)/2($dec$)=\_\_\_\_\_\_\_\_\_.$ in $6-$bit two$$s comp. bin

$-15.($dec$)+-4.($dec$)=\_\_\_\_\_\_\_\_\_.$ in $\_\_-$bit two$$s comp. bin

Fill second blank with how many bits we need to avoid overflow in the result.

$2.($dec$)+111110.($bin$)=\_\_\_\_\_\_\_\_\_.($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$)=\_\_\_\_\_\_\_\_\_.\_\_\_\_\_\_\_\_($bin$)($logical right shift$)$

$-15\mathrm{.}5($dec$)>>>3($dec$)=\_\_\_\_\_\_\_\_\_.\_\_\_\_\_\_\_\_($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