Number system

Number System

The computer does not understand the words and letters. So we need to translate those words and letters into numbers. This means that computers understand only numbers and these numbers are 0 for off/low voltage and 1 for on/high voltage and these numbers belong to binary language/machine language. Binary numbers are very complex to use. So different number systems came into existence.

The most common of them are:-

  • Binary number system
  • Decimal number system
  • Octal number system
  • Hexadecimal (Hex) number system
Binary Number System

A Binary number system has only two digits that are 0 and 1. The base of the binary number system is 2 because it has only two digits.

Octal number system

Octal number system has only eight digits from 0 to 7( 0,1,2,3,4,5,6,7). The base of the octal number system is 8 because it has only 8 digits.

Decimal number system
Decimal number system has only ten (10) digits from 0 to 9(0,1,2,3,4,5,6, 7,8,9). The base of the decimal number system is 10 because it has only 10 digits.

Hexadecimal number system

A Hexadecimal number system has sixteen (16) alphanumeric values from 0 to 9 and A to F. (0,1,2,3,4,5,6, 7,8,9,A,B,C,D,E, F). The base of the hexadecimal number system is 16 because it has 16 alphanumeric values. Here A is 10, B is 11, C is 12, D is 13, E is 14, and F is 15.