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What are the different Positional Number System?

Subject : Structured Programming Approach

Title : Introduction to Computer, Algorithm and Flowchart

Marks : 4M

1 Answer
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Decimal Number System

Decimal number system has base 10 as it uses 10 digits from 0 to 9. In decimal number system, the successive positions to the left of the decimal point represent units, tens, hundreds, thousands, and so on.

Binary Number System

Characteristics of the binary number system are as follows :

• Uses two digits, 0 and 1

• Also called as base 2 number system

• Each position in a binary number represents a 0 power of the base (2). Example 2$^{0}$

• Last position in a binary number represents a x power of the base (2). Example 2$^{x}$ where x represents the last position - 1.

Example

Binary Number: 10101$_{2}$

Octal Number System

Characteristics of the octal number system are as follows −

• Uses eight digits, 0,1,2,3,4,5,6,7

• Also called as base 8 number system

• Each position in an octal number represents a 0 power of the base (8). Example 8$^{0}$

• Last position in an octal number represents a x power of the base (8). Example 8$^{x}$ where x represents the last position - 1

Example

Octal Number: 12570$_{8}$

Hexadecimal Number System

Characteristics of hexadecimal number system are as follows −

• Uses 10 digits and 6 letters, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, F

• Letters represent the numbers starting from 10. A = 10. B = 11, C = 12, D = 13, E = 14, F = 15

• Also called as base 16 number system

• Each position in a hexadecimal number represents a 0 power of the base (16). Example, 16$^{0}$

• Last position in a hexadecimal number represents a x power of the base (16). Example 16$^{x}$ where x represents the last position - 1

Example

Hexadecimal Number: 19FDE$_{16}$

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