# octal number system

**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.