Octal to Binary Converter
Convert octal numbers (base 8) to binary numbers (base 2) instantly. Enter an octal number containing digits from 0 to 7 to get its binary equivalent and see how each digit is converted.
Convert Octal to Binary Online
Octal to Binary Conversion Table
Use this table to look up the three-bit binary equivalent of each octal digit.
| Octal digit | Binary equivalent | Decimal value |
|---|---|---|
| 0 | 000 | 0 |
| 1 | 001 | 1 |
| 2 | 010 | 2 |
| 3 | 011 | 3 |
| 4 | 100 | 4 |
| 5 | 101 | 5 |
| 6 | 110 | 6 |
| 7 | 111 | 7 |
How to Convert Octal to Binary
- Write down the octal number using digits from 0 to 7.
- Replace each octal digit with its three-bit binary equivalent.
- Join the binary groups in the same order.
- Remove unnecessary zeros from the beginning of the complete result.
Example: Convert octal 755
Octal digit 7 becomes 111. Each digit 5 becomes
101. Combining the groups gives
111 101 101, or 111101101.
(755)8 = (111101101)2
Frequently Asked Questions
What is an octal number?
An octal number uses base 8 and the digits 0 through 7.
What is a binary number?
A binary number uses base 2 and contains only the digits 0 and 1.
What is octal 10 in binary?
Octal 10 converts to binary 1000.
What is octal 17 in binary?
Octal 17 converts to binary 1111.
Why does each octal digit become three bits?
Three binary bits have eight possible values, from 000 to 111, matching the eight octal digits.
Can I convert large octal numbers?
Yes. This tool converts the input one digit at a time without converting the entire number into a fixed-size integer.