Hexadecimal to Octal Converter

The Hexadecimal to Octal Converter is a tool that transforms hexadecimal numbers (base-16) into their octal (base-8) representation. This conversion is particularly useful in computer science and digital systems where both number systems are commonly used.

How to use this converter:

1. Enter one or more hexadecimal numbers in the input field (separated by spaces)
2. Click the "Convert to Octal" button or enable auto-processing
3. View the octal equivalent in the output field

Examples:

• 8 in hexadecimal = 10 in octal
• F in hexadecimal = 17 in octal
• FF in hexadecimal = 377 in octal

How hexadecimal to octal conversion works:

The most reliable method to convert hexadecimal to octal is to first convert the hexadecimal number to decimal, and then convert the decimal number to octal:

1. Convert hexadecimal to decimal: Each digit in a hexadecimal number represents a power of 16. For example, hexadecimal 1F:

   1 × 16^1 + F(15) × 16^0 = 16 + 15 = 31 (decimal)

2. Convert decimal to octal: Divide the decimal number by 8 repeatedly and collect the remainders. For decimal 31:

   31 ÷ 8 = 3 remainder 7 3 ÷ 8 = 0 remainder 3 Result: 37 (octal)

Applications:

• Computer programming and system development
• Digital electronics and hardware design
• Converting between different file permission notations in Unix/Linux
• Memory addressing and data representation

Conversion Tables: