Chapter 3, Problem 4P

Program Plan Intro

a.

Decimal number system:

• In decimal system, the numbers from “0” to “9” are used.
• It means, in total, decimal system has 10 numbers.
• Therefore, the base used for decimal number system is 10.

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.

Program Plan Intro

b.

Octal number system:

• Octal number system is also known as base-8 number system
• It is because; eight distinct elements from 0 to 7 are used to represent a level.
• It means, in total, octal system has 8 numbers.

Decimal number system:

• In decimal system, the numbers from “0” to “9” are used.
• It means, in total, decimal system has 10 numbers.
• Therefore, the base used for decimal number system is 10.

Program Plan Intro

c.

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.

Decimal number system:

• In decimal system, the numbers from “0” to “9” are used.
• It means, in total, decimal system has 10 numbers.
• Therefore, the base used for decimal number system is 10.

Program Plan Intro

d.

Decimal number system:

• In decimal system, the numbers from “0” to “9” are used.
• It means, in total, decimal system has 10 numbers.
• Therefore, the base used for decimal number system is 10.

BCD number system:

• Binary Coded Decimal (BCD) refers to a section of binary encodings of decimal numbers.
• Each decimal number will be represented by a fixed number of bits such as four or eight.
• BCD has an advantage of representing each decimal number in four bit pattern. This is also called as “8421” encoding.