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Octal to Hex Conversion

Convert octal (base-8) numbers to hexadecimal (base-16) values, and vice versa, with this tool.

How to Use This Converter

  • Enter an octal value (e.g., 25) to convert it to hexadecimal
  • Or input a hexadecimal number to see its octal representation

Understanding the Conversion

The easiest way to convert between octal and hexadecimal is through binary:

  1. Convert the octal number to binary (each octal digit = 3 bits)
  2. Group the binary digits into 4-bit chunks (starting from the right)
  3. Convert each 4-bit group into its hexadecimal equivalent

Example

Convert 258 to hexadecimal:

  • 2 → 010
  • 5 → 101

Binary: 010101

Group into 4 bits: 0010 0101

Hexadecimal: 2516

Why Use Octal and Hexadecimal?

Hexadecimal provides a more compact and human-readable representation of binary data, making it especially useful in programming, debugging, and memory addressing.

Despite not being as common as it once was, octal is still used by many popular systems such as UNIX file permissions (e.g., chmod 755)