answer all questions and show work please. Thank you.

Computer Archittecture:

For each question, please write your intermediate steps of how

you arrived at your final solution!

QUESTIONS

$1-)$ Convert the following decimal numbers to $4-$bit signed$/2\text{'}$s complement binary numbers.

a$.)5$

b$.)-5$

$2-)$ Convert the following unsigned numbers to decimal numbers.

a$.)(FD{)}_{16}$

b$.)(376{)}_8$

$3-)$ Convert the following $8-$bit signed$/2\text{'}$s complement numbers to decimal numbers.

a$.)(FD{)}_{16}$

b$.)(376{)}_8$

$4-)$ Convert each of the following $4-$bit and $8-$bit signed$/2\text{'}$s complement binary numbers to $16-$bit signed$/2\text{'}$s

complement binary number having same value.

a$.)(1011{)}_2$

b$.)(01110111{)}_2$

$5-)$ Assume each of the following binary numbers is a $64-$bit signed$/2\text{'}$s complement number. Which of the

following numbers can be converted to $4-$bit signed$/2\text{'}$s complement binary number having same value?

Explain why? Why not?

a$.)(11$cdots$110011{)}_2$

b$.)(11$cdots$111001{)}_2$

c$.)(11$cdots$100111{)}_2$

d$.)(11$cdots$110110{)}_2$