Binary/Octal/Decimal/hexadecimal converter

Convert Octal to Binary.

Octal → Binary
Before conversion:

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.

OctalConvert 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

OctalBinary
0 000
1 001
2 010
3 011
4 100
5 101
6 110
7 111

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