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HEX to Octal Converter

Instantly convert hexadecimal numbers to their octal equivalent.

HEX Input

Octal Output

Why Use This Tool? ✅

Fast & Accurate

Converts hexadecimal to octal instantly and precisely as you type.

Perfect for Computing

An essential tool for anyone working with low-level programming or digital electronics.

User-Friendly Interface

A simple, clean two-panel layout makes converting from HEX to octal effortless.

Ideal for Learning

Helps students and developers understand the relationship between different number systems.

From Base-16 to Base-8: The Computing Connection 🔢

Both the hexadecimal (base-16) and octal (base-8) number systems are used in computing as a more human-readable way to represent binary data. While hexadecimal is more common today, octal has historical significance and is still used in some contexts, like Unix file permissions. This tool helps you translate between these two important systems.

The Conversion Bridge: Binary

The most reliable way to convert from hexadecimal to octal is to use binary (base-2) as an intermediate step. The relationship is very direct:

  • 1 hexadecimal digit represents exactly 4 binary digits (bits).
  • 1 octal digit represents exactly 3 binary digits.

Let's convert the HEX number `A7` to octal:

  1. Convert HEX to Binary: Convert each HEX digit to its 4-bit binary equivalent.
    • A → 1010
    • 7 → 0111
    • Combined Binary: 10100111
  2. Re-group Binary for Octal: Take the binary string and re-group it into chunks of 3 bits, starting from the right.
    • 10 100 111
  3. Pad and Convert to Octal: Pad the leftmost group with leading zeros to make it 3 bits long, then convert each group to its octal digit.
    • 010 → 2
    • 100 → 4
    • 111 → 7
    • Final Octal: 247

This tool automates this entire process, giving you an accurate conversion in an instant.