**Octal number system**uses eight symbols or digits to represent any octal number

This number system uses only the digits ranging from zero(

Even though the name of the number system is octal number system, the digit 8 is not used in this number system.

The radix or base in octal number system is 8

In this number system the weights are all powers of 8.

The generic format for representing any number in binary number system is as show below

where

Representing larger numbers in binary number system was a difficult task and hence the other two number systems namely octal number system and hexadecimal number system were introduced.

**0**) to seven(**7**) for counting as well as performing various arithmetic operations.Even though the name of the number system is octal number system, the digit 8 is not used in this number system.

The radix or base in octal number system is 8

**since it involves eight (****8**) symbols.In this number system the weights are all powers of 8.

The generic format for representing any number in binary number system is as show below

**8**^{4}8^{3}8^{2}8^{1}8^{0}8^{-1}8^{-2}8^{-3}8^{-4 }←**Weights** S_{4 } | S_{3 } | S_{2 } | S_{1 } | S_{0 } | . | S_{-1 } | S_{-2 } | S_{-3 } | S_{-4 } |

**↑****↑****↑****MSD Octal point LSD**

where

**MSD i the most significant digit****LSD is the least significant digit**

**S**_{1}**,S**_{2}**,S**_{3 ....}**Sn**_{ }**are values assigned.**

Representing larger numbers in binary number system was a difficult task and hence the other two number systems namely octal number system and hexadecimal number system were introduced.