Convert Octal to Binary.
- Front page
- Base Converter
- Binary/Octal/Decimal/hexadecimal converter
Binary/Octal/Decimal/hexadecimal converter
How to use Base Converter
Enter the Octal value you want to convert and click the "Convert" button.
The input value will be calculated and the converted result will be displayed in Binary.
The calculation method for conversion is also displayed.
Numerical input range
Octal:0–7
Conversion by base number
How to convert from Octal to Binary
Method of calculation
When converting from octal to binary, each digit of the octal number is converted to a 3-digit binary number and arranged.
- 1. Separates octal numbers into digits and converts them to binary numbers.
- 2. Except for the leftmost digit, add 0 if there are less than 3 digits.
- 3. The value obtained by arranging the 3-digit numbers in order is the result of converting them into binary numbers.
Calculation example
Example: Convert Octal "257" to Binary
Separate 257 into digits.
"257" → "2 5 7"
Convert each digit to binary.
Octal | Convert to Binary |
---|---|
2 | 010 |
5 | 101 |
7 | 111 |
Arrange this and remove the unnecessary 0 on the left to get 10101111.
Therefore, converting octal number "257" to binary number becomes "10101111".
Table of octal and 3-digit binary numbers
Octal | Binary |
---|---|
0 | 000 |
1 | 001 |
2 | 010 |
3 | 011 |
4 | 100 |
5 | 101 |
6 | 110 |
7 | 111 |