Octal to Binary Converter

Enter value and click on calculate. Result will be displayed.
Enter Octal Number :
Result:
Binary :

What is an Octal to Binary Converter?

An Octal to Binary Converter converts a number from octal (base 8) to binary (base 2). Since each octal digit corresponds to exactly three binary digits, conversion is straightforward.

Why Use an Octal to Binary Converter?

  • To work with digital electronics (octal and binary are common in computing).
  • To simplify binary representation, as octal is a compact way to express long binary numbers.
  • To decode octal-based values, such as in UNIX file permissions or microcontrollers.

How to Convert Octal to Binary?

Each octal digit is replaced by its 3-bit binary equivalent:

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

Example: Convert 53₈ to binary.

  1. Convert each digit:
    • 5 → 101
    • 3 → 011
  2. Combine them: 53₈ = 101011₂

When to Use It?

  • In computer science (e.g., memory addressing in older systems).
  • In digital logic design (e.g., simplifying binary representations).
  • In networking & hardware programming (e.g., microcontroller configurations).