Home Categories Converters Hex to Octal Converter

Hex to Octal Converter

Convert hexadecimal numbers to octal instantly. Perfect for developers, programmers, and students working with different number systems and low-level programming.

Supports 0x prefix
Quick examples:

Binary will appear here...
Your octal result will appear here...

📐 Step-by-Step Breakdown

Final Octal:

💡 How to Use This Tool

Convert any hexadecimal number to octal in seconds. Follow these simple steps:

1

Enter Hex Value

Type or paste your hexadecimal number. The 0x prefix is optional.

2

Click Convert

Press the "Convert to Octal" button or hit Enter to convert.

3

View Results

See both the binary intermediate and final octal result instantly.

4

Copy Result

Click "Copy" to copy the octal result to your clipboard.

📖 About Hex to Octal Converter

What is Hexadecimal to Octal Conversion?

Hexadecimal (hex) is a base-16 number system using digits 0-9 and letters A-F, while octal is a base-8 number system using digits 0-7. Converting between these bases is common in computing, especially in low-level programming and digital systems.

How Hex to Octal Conversion Works

The conversion process involves two steps:

  1. Hex to Binary: Convert each hex digit to its 4-bit binary equivalent
  2. Binary to Octal: Group binary digits into sets of 3 (from right to left) and convert each group to octal

Example: Hex 1F → Binary 00011111 → Octal 37

Common Use Cases

  • Unix File Permissions: Octal notation for chmod (e.g., 755, 644)
  • Assembly Programming: Working with processor instructions and memory
  • Legacy Systems: Older computing systems that use octal
  • Digital Electronics: Logic design and digital circuits
  • Data Representation: Converting between different bases for analysis
  • Educational Purposes: Learning about number systems

Privacy & Security

This tool runs entirely in your browser using JavaScript. Your data is never sent to any server—all conversion happens locally on your device.

Technical Details

  • Supports uppercase and lowercase hex digits (A-F, a-f)
  • Handles optional "0x" prefix commonly used in programming
  • Automatic padding for proper binary grouping
  • Validates input for proper hexadecimal format

❓ Frequently Asked Questions

Yes! All conversion happens locally in your browser using JavaScript. Your data never leaves your device and is not sent to any server.
JavaScript safely handles integers up to 2^53 - 1 (9007199254740991). For very large hex values, results might lose precision.
Yes! This converter automatically handles the common "0x" prefix used in programming languages like C, C++, Java, and JavaScript. You can enter "0xFF" or just "FF".
Octal (base-8) is commonly used for Unix file permissions (chmod), legacy computer systems, and some embedded systems. Each octal digit represents exactly 3 binary digits.
First convert hex to binary (each hex digit = 4 bits), then group the binary from right to left in sets of 3 bits, and convert each group to octal (0-7).