Octal to Decimal
Octal Number System
Base 8 number system which consists numbers {0, 1, 2, 3, 4, 5, 6, 7}.
Decimal Number System
Base 10 number system which consists numbers {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}.
Decimal Number System
Octal Number System
Octal to Decimal Conversion Procedure
1. Write down the octal numbers.
2. Find the position of every digit. We should count the position from the right direction of the number. And the position count starts from 0.
Example
134 - position of 4 = 0, 3 = 1, 1 = 2.
501 - position of 1 = 0, 0 = 1, 5 = 2.
3. Multiply every digit with 8 to the power of their corresponding position. (8 position)
4. Finally, calculate the sum of all the multiples.
Example
(16)8 to decimal
position = {1-1, 6-0}
= 1 x 8 1 + 6 x 8 0
= 8 + 6
= (14)10
Example
(7777)8 to decimal
position = {7-3, 7-2, 7-1, 7-0}
f equivalent decimal = 15
= 7 x 8 3 + 7 x 8 2 + 7 x 8 1+ 7 x 8 0
= 7 x 512 + 7 x 64 + 7 x 8 + 7 x 1
= 3584 + 448 + 56 + 7
= (4095)10