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Octal to Binary Converter

Free online tool to convert octal numbers to binary format instantly. Fast, accurate, and runs entirely in your browser.

Octal to BinaryOctal to DecimalOctal to HexOctal to Text
Octal to Binary
Binary to Octal
Input
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Configurations

Input values are parsed client-side. Real-time updates occur as you type. Multiple entries can be converted at once using spaces or newlines.

Output

Convert Octal (Base-8) to Binary (Base-2) Online

Easily convert base-8 octal numbers to standard base-2 binary arrays. Our online Octal to Binary Converter is ideal for software engineers, systems admins, and computer science students debugging low-level scripts. Since each octal digit maps cleanly to three binary bits, converting between these bases is direct and useful.

The 3-Bit Expansion Method

Because 8 is a power of 2 (2^3), you do not need division algorithms to convert octal to binary. Instead, you can expand each octal digit directly into its three-digit binary representation. For example, an octal permission code of 7 converts to binary 111, and 5 converts to 101.

How to Convert Octal to Binary (Step-by-Step)

  1. Isolate Digits: Break down the octal number into individual digits (e.g. 64 becomes 6 and 4).
  2. Expand to 3-Bits: Convert each digit into its equivalent 3-digit binary value:
    • 6 becomes 110
    • 4 becomes 100
  3. Concatenate: Combine the binary clusters together in order (e.g. 110100).
  4. Clean up: Remove any leading zeros at the beginning of the final string if desired.

Bitwise Expansion

Instantly maps positional octal values to their binary structures, supporting arbitrary integer sizes.

chmod Translation

Perfect for calculating Unix and Linux file permission bitmasks (chmod values) inside terminals.

Local Privacy

Your text is parsed locally in the browser sandbox. No server communication is performed.

Octal to Binary Conversion Index

Octal DigitBinary (3 Bits)
0000
1001
2010
3011
4100
5101
6110
7111

Frequently Asked Questions (FAQ)

To manually convert octal to binary, replace each digit of the octal number with its equivalent 3-bit binary value. For example, to convert the octal number 52: 5 becomes 101 and 2 becomes 010, which combined yields the binary string 101010.
Each octal digit represents exactly three bits because 8 (the base of the octal system) is 2 raised to the power of 3. This means there are exactly 2^3 (8) unique combinations of three binary bits, corresponding perfectly to the octal digits 0 through 7.
Yes, your conversions are completely private. The application processes inputs locally on your browser. No numeric arrays, log records, or inputs are sent to remote server environments.