About Octal to Binary conversion
Octal is base 8, and every octal digit has a direct three-bit binary representation. That makes it useful for reading Unix permissions and compact technical notation.
How to convert Octal to Binary
Enter a valid octal number in the calculator above for an instant result. To understand the calculation by hand, follow these steps:
- Take one octal digit at a time.
- Write its three-bit binary form.
- Join the groups and remove unnecessary leading zeroes.
Octal to Binary conversion example
Example: 57₈ → 101111₂. Octal 5 becomes 101 and 7 becomes 111, giving 101111.
Use the calculator to verify the example, then try a value of your own. It accepts upper- and lowercase letters for hexadecimal input.