Chapter 3, Problem 6RQ

Program Plan Intro

Hexadecimal number system:

• In hexadecimal number system, the numbers from “0” to “9” and letters from “A” to “F” are used.
• It means, in total, hexadecimal system has 10 numbers and 6 alphabets.
• Therefore, the base used for hexadecimal numbering system is 16.

Binary number system:

• In binary system, the numbers “0” and “1” are only used.
• It means, in total, binary system has only 2 numbers.
• Therefore, the base used for binary numbering system is 2.

Explanation of Solution

b.

Conversion of hexadecimal number E8 to its equivalent binary number:

• Given, hexadecimal number is E8.
• Each digit of the hexadecimal number is converted into four bit binary equivalent.
• A group of four bit binary refers to its corresponding hexadecimal digit.
• Finally, the binary notation of the given hexadecimal number is noted.
• The following diagram describes the binary notation of the hexadecimal number E8...

Explanation of Solution

c.

Conversion of hexadecimal number 6D2 to its equivalent binary number:

• Given, hexadecimal number is 6D2.
• Each digit of the hexadecimal number is converted into four bit binary equivalent.
• A group of four bit binary refers to its corresponding hexadecimal digit.
• Finally, the binary notation of the given hexadecimal number is noted.
• The following diagram describes the binary notation of the hexadecimal number 6D2.

Explanation of Solution

d.

Conversion of hexadecimal number 31B to its equivalent binary number:

• Given, hexadecimal number is 31B.
• Each digit of the hexadecimal number is converted into four bit binary equivalent.
• A group of four bit binary refers to its corresponding hexadecimal digit.
• Finally, the binary notation of the given hexadecimal number is noted.
• The following diagram describes the binary notation of the hexadecimal number 31B.