Perform each hexadecimal operation. A$3$B$16($d$)$ A$3$B$16($e$)91$ B$16$

$($a$){597}_{16}+{612}_{16}$

$($b$){849}_{16}-5F{4}_{16}$

$($d$)A^3{B}_{16}-0C{6}_{16}$

$($e$)91$ B ${?}_{16}-6F{2}_{16}$

$($a$)$ How many different logic outputs are required to represent an $8-$bit binary number

using parallel representation?

$($b$)$ How many are required using serial representation?

Look at the logic symbols in Figure below. Which one will produce a HIGH output when any

input goes LOW?

$($a$)$ Which gate below will have a LOW output when any of its inputs is HIGH?

$($b$)$ Which gate below will have a HIGH output when any of its inputs is HIGH?

$($c$)$ Which gate below will have a LOW output only when both of its inputs are LOW?

A certain clocked flip$-$flop has a minimum $t_S=10ns$ and $t_H=5ns.$

$($a$)$ How long must the control inputs be stable prior to the active clock transition?

$($b$)$ How long must the control inputs be stable after the active clock transition?

What is the principal reason for having registers with common I$/$O lines?

Match the device in column I with its function from column II$.$

Page $4$ of $8$

A certain memory has a capacity of $8K16.$

$($a$)$ How many bits are in each word?

$($b$)$ How many words are being stored?

$($c$)$ How many memory cells does this memory contain?

A certain memory has a capacity of $4M32.$ How many words does it store? What is the

number of bits per word? How many memory cells does it contain?

How many different addresses are required by the memory of Problem $8?$

What is the capacity of a memory that has $16$ address inputs, $4$ data inputs, and $4$ data

outputs?