How to convert from octal to decimal
A regular decimal number is the sum of the digits multiplied with 10n.
Example #1
137 in base 10 is equal to each digit multiplied with its corresponding 10n:
13710 = 1×102+3×101+7×100 = 100+30+7
Octal numbers are read the same way, but each digit counts 8n instead of 10n.
Multiply each digit of the hex number with its corresponding 8n.
Example #2
37 in base 8 is equal to each digit multiplied with its corresponding 8n:
378 = 3×81+7×80 = 24+7 = 31
Example #3
7014 in base 8 is equal to each digit multiplied with its corresponding power of 8:
70148 = 7×83+0×82+1×81+4×80= 3584+0+8+4 = 3596
Octal to decimal conversion table
| Octal base 8 | Decimal base 10 |
| --- | --- | | 0 | 0 | | 1 | 1 | | 2 | 2 | | 3 | 3 | | 4 | 4 | | 5 | 5 | | 6 | 6 | | 7 | 7 | | 10 | 8 | | 11 | 9 | | 12 | 10 | | 13 | 11 | | 14 | 12 | | 15 | 13 | | 16 | 14 | | 17 | 15 | | 20 | 16 | | 30 | 24 | | 40 | 32 | | 50 | 40 | | 60 | 48 | | 70 | 56 | | 100 | 64 |