$15$ points$)$ Determine the $8-$bit representation of each of the following numbers using two's

compliment and provide an evaluation of the number using bit weights to verify the result.

$($a$)10110$

$($b$)-9810$

$($c$)-3710$

$($d$)1910$

$($e$)5410$

$($f$)-1710$

$($g$)-2910$

$($h$)-10710$

$2.(20$ points$)$ What is the decimal representation of the following numbers if each represents a two$$s

compliment number in byte form:

$($a$)9216$

$($b$)$ A$616$

$($c$)7816$

$($d$)1316$

$($e$)2916$

$($f$)$ F$716$

$($g$)$ E$516$

$($h$)$ C$416$

$($i$)$ B$016$

$3.(20$ pts total$)$ Determine decimal values of the word length representation of each of the

following two's compliment numbers.

$($a$)1000,101116$

$($b$)7$FFF$,800116$

$($c$)$ FFFF$,$FEDC$16$

$($d$)0001,777516$

$4.(25$ pts total$)$ Using binary arithmetic perform the following mathematical calculations

reporting the answer in the number system of the initial problem:

$($a$)3710+1710$

$($b$)3716+1716$

$($c$)3716*1716$

$($d$)3716-1716$

$($e$)3716/1716$

$5.(20$ pts total$)$ Using binary arithmetic perform the following two's compliment mathematical

calculations reporting the answer in the number system of the initial problem. The

hexadecimal numbers represent twos$$ compliment half$-$words:

$($a$)-2910*1710$

$($b$)$ FEDC$16/802116$

$($c$)777516*802116$

$($d$)101116/$ FEDC$16$