What is the decimal value of the following $8-$bit binary numbers?

a$)$

b$)$

c$)$

d$)$

$2.$ What is the $8-$bit binary representation of the following decimal numbers?

a$)1$

b$)5$

c$)27$

d$)99$

$3.$ What is the $8-$bit binary sum of the numbers and $?$ Verify

your result in decimal.

$4.$ We want to use $2$s complements to compute the $4-$bit result of the sum $.$

a$)$ What is $7$ in $4-$bit $2$s complement form? What is $5$ in $4-$bit $2$s

complement form?

b$)$ Sum the results of $($a$)$ to form the $4-$bit result $($ignore overflow$).$

c$)$ What is the result of $($b$)$ in decimal form?

$5.$ What function does the Hack ALU perform if the control bits are: zx $=0,$ nx $=0,$

zy $=1,$ ny $=0,$ f $=1,$ no $=0?$

$00000000$

$11111111$

$00000101$

$00001101$

$0111110100110110$

$7+5()$