Home » Binary Converter Tools » Octal to Decimal Converter
Enter an octal number and get the exact decimal value in seconds, with the place value steps shown.
Everything runs in your browser, so your value never leaves your device. Whole numbers only for number base conversions.
An octal to decimal converter turns an octal number into an everyday decimal number. Octal is base 8, so each digit is worth eight times the digit to its right. That place value idea is the whole conversion, and once you see it written out, octal to decimal becomes straightforward.
This converter shows every place value term, adds them up, and gives the exact decimal result. It is useful for computing study, file permissions and reading older code that uses octal values, and it works with no rounding and no sign up.
Everything runs in your browser, so your number never leaves your device. Enter an octal value, press Convert, and you can check the answer yourself from the steps shown.
Write the place values from the right: the 2 sits in the ones place, worth 1, and the 5 sits in the eights place, worth 8.
Multiply each digit by its place value: 5 times 8 equals 40, and 2 times 1 equals 2.
Add the terms: 40 plus 2 equals 42. So 52 in octal is 42 in decimal.
The same method works for longer values: for 377, the terms are 3 times 64, plus 7 times 8, plus 7 times 1, which add up to 255.
| Input | Output |
|---|---|
| 10 in octal | 8 in decimal |
| 52 in octal | 42 in decimal |
| 100 in octal | 64 in decimal |
| 377 in octal | 255 in decimal |
| 144 in octal | 100 in decimal |
If you need a different direction, try the Octal to Binary Converter, Octal to Hex Converter, Decimal to Octal Converter and Binary to Decimal Converter. Each one works the same way, in your browser, with the steps shown so you can check the answer.
Yes, it is completely free with no sign up.
Each octal digit is multiplied by its place value, which is a power of 8, and all the terms are added together.
Because octal numbers only use digits from 0 to 7, so 8 and 9 are not valid octal digits.
No. All conversion happens in your browser on your own device, so your number never leaves your computer.