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 84) + (2 x 83) + (5 x 82) + (7 x 81) + (0 x 80))10
Step 2	125708	(4096 + 1024 + 320 + 56 + 0)10
Step 3	125708	549610

Note : 12570₈ is normally written as 12570.