Octal Number System

Characteristics of octal number system are as follows:

● Uses eight digits, 0,1,2,3,4,5,6,7.

● Also called base 8 number system

● Each position in an octal number represents a 0 power of the base (8). Example 8⁰

● 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 : 12570₈

Calculating Decimal Equivalent:

Step	Octal Number	Decimal Number
Step 1	125708	((1 x 8^4) + (2 x 8^3) + (5 x 8^2) + (7 x 8^1) + (0 x 8^0))10
Step 2	125708	(4096 + 1024 + 320 + 56 + 0)10
Step 3	125708	549610

Note : 12570₈ is normally written as 12570.