Chapter 1, Problem 51CRP

a.

Explanation of Solution

Encode the sentence Does $100/5=20?$ :

The ASCII code is a set of character which stands for “American Standard Code for Information Interchange”.

Even parity: Even parity is set to $0$ if there is an even number of one bit in a one-byte data item and if the number of one bits adds up to an odd number, the parity bit is set to one.

• To encode the sentence use the ASCII code table as shown below:

• Convert the sentence in the hexadecimal notation from the above table.

$\begin{array}{c}D=44\\ o=6F\\ e=65\\ s=73\end{array}$

$\begin{array}{c}=20\left(\text{space}\right)\\ 1=31\\ 0=30\\ 0=30\end{array}$

$\begin{array}{c}/=2F\\ 5=35\\ =20\left(\text{space}\right)\\ =3D\left(\text{equal}\text{to}\right)\end{array}$

$\begin{array}{c}=20\left(\text{space}\right)\\ 2=32\\ 0=30\\ ?=3F\end{array}$

• To represent the hexadecimal notation in bit pattern, convert the hexadecimal notation into bit as shown below.

$\begin{array}{c}44=01000100\\ 6F=01101111\\ 65=01100101\\ 73=0111011\end{array}$

$\begin{array}{c}20=00100000\\ 31=00110001\\ 30=00110000\\ 30=00110000\end{array}$

$\begin{array}{l}2F=00101111\\ 35=00110101\\ 20=00100000\\ 3D=00111101\end{array}$

$\begin{array}{l}20=00100000\\ 32=00110010\\ 30=00110000\\ 3F=00111111\end{array}$

• Convert bit pattern into even parity bit pattern which is shown below

b.

Explanation of Solution

The total cost is $\$7.25$:

The ASCII code is a set of character which stands for “American Standard Code for Information Interchange”.

• To encode the sentence use the ASCII code table as shown below:

• Convert the sentence in the hexadecimal notation from the above table.

$\begin{array}{c}T=54\\ h=68\\ e=65\\ =20\end{array}$

$\begin{array}{c}t=74\\ o=6F\\ t=74\\ a=61\end{array}$

$\begin{array}{c}I=6C\\ =20\left(\text{space}\right)\\ c=63\\ o=6F\end{array}$

$\begin{array}{c}s=73\\ t=74\\ =20\\ i=69\end{array}$

$\begin{array}{c}s=73\\ =20\left(\text{space}\right)\\ \$=24\\ 7=37\end{array}$

$\begin{array}{c}.=2E\\ 2=32\\ 5=35\\ .=2E\end{array}$

• To represent the hexadecimal notation in bit pattern, convert the hexadecimal notation into bit as shown below.

$\begin{array}{c}54=01010100\\ 68=01101000\\ 65=01100101\\ 20=00100000\end{array}$

$\begin{array}{c}74=01110100\\ 6F=01101111\\ 74=01110100\\ 61=01100001\end{array}$

$\begin{array}{c}6C=01101100\\ 20=00100000\\ 63=01100011\\ 6F=01101111\end{array}$

$\begin{array}{l}73=00110000\\ 74=01110100\\ 20=0010000\\ 69=01101001\end{array}$

$\begin{array}{c}73=00110000\\ 20=0010000\\ 24=00100100\\ 37=00110111\end{array}$

$\begin{array}{c}2E=00101110\\ 32=00110010\\ 35=00110101\\ 2E=00101110\end{array}$

• Convert bit pattern into even parity bit pattern which is shown below