EENG $2710$

Name:

HW #$1$

A $16-$bit register in a computer contains $0011100001010111.$ What does its contents represent if it contains

a$)$ a $4-$digit decimal number in the BCD code,

b$)$ a $4-$digit decintal number in excess$-3$ code,

c$)$ a $4-$digit decimal number in the $6311$ code,

d$)$ a $4-$digit hexadecimal number $($express your answer as a decimal number$),$

e$)$ a $16-$bit signed binary number $($express your answer as a decimal number$),$

f$)$ two characters in an odd parity ASCII code $($the parity bit is on the left$)?$

The $9\text{'}$s complement of a decimal digit $d$ is defined to be $9-d.$ Give the representation of $d=7$ and the $9\text{'}$s complement of $d$ if the decimal digits are represented in

a$)BCD$

b$)$ Excess$-3$

c$)6311$ code

d$)$ ASCII code

What property does the Excess$-3$ code have that BCD doesn't?

$3.$ Convert the following binary numbers to decimal:

a$)111101$

b$)10101\mathrm{.}1011$

c$)111\mathrm{.}10111$

$4.$ Convert the decimal number $(97\mathrm{.}7)10$ into a number with exactly the same value represented in the following bases. Show the steps of your derivation.

a$)$ binary

b$)$ octal

c$)$ hexadecimal

d$)$ base $5$

In addition, do the following problems from the textbook:

$1\mathrm{.}10($a$),1\mathrm{.}11($a$),1\mathrm{.}17($a$),1\mathrm{.}20($b$),1\mathrm{.}22,1\mathrm{.}28,1\mathrm{.}39($b$)$