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Octal to Binary Converter

Fast, accurate browser-based conversion between data representations.

About Octal to Binary Converter Tool

Published: Last Updated:

Octal to Binary converts base-8 octal numbers to binary. Each octal digit maps to exactly 3 binary bits (since 8 = 2³). Octal is historically used in Unix/Linux file permissions (e.g. chmod 755) where each digit represents 3 permission bits (read, write, execute).

Key Features

  • Converts octal to 3-bit-per-digit binary.
  • Shows the bit grouping clearly.
  • Accepts any valid octal string (digits 0–7 only).
  • Runs in your browser.

How to Use the Tool

  1. Enter an octal number (digits 0–7).
  2. The binary equivalent appears instantly.

Core Benefits

  • Understand Unix file permissions: 755 in binary = 111 101 101 (rwxr-xr-x).
  • Learn the octal-binary relationship used in low-level computing.

Common Use Cases

  • chmod 755 = binary 111 101 101 = rwxr-xr-x.
  • Converting octal values in C/C++ numeric literals (0755).

Pro Tips

  • 0=000, 1=001, 2=010, 3=011, 4=100, 5=101, 6=110, 7=111.
  • Linux permissions 755: owner=rwx(7=111), group=r-x(5=101), other=r-x(5=101).

Use this free Octal to Binary Converter on GoodToolIt — instant, private, and works in any browser with no sign-up required.

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