Hex to Octal Converter

User Guide

1. Input Section
   • Enter the hexadecimal number in the text area labeled "Hexadecimal Numbers".
   • Use the "Clear" button beneath the input field to erase your entry if needed.
2. Output Section
   • The octal equivalent will appear in the output area.
   • Use the "Copy" button below the output area to copy the result to your clipboard.

The hexadecimal system (base-16) uses digits 0–9 and letters A–F, while the octal system (base-8) uses digits 0–7. Converting hexadecimal to octal requires an intermediate step of converting the hexadecimal number to binary, and then converting the binary result to octal.

Conversion Method

Steps to Convert

1. Convert Hexadecimal to Binary: Replace each hexadecimal digit with its 4-bit binary equivalent.
2. Group Binary Digits for Octal Conversion: Group the binary digits into groups of three (starting from the right) and replace each group with its octal equivalent.

Hexadecimal to Binary Table:

Example

Convert 2F₁₆​ (hexadecimal) to octal:

Convert each hex digit to binary by above table:
2 = 0010
F = 1111
Binary result: 0010 1111

Group binary digits into threes: 000 101 111 (add leading zeros if necessary).

Convert each group to octal:
000 = 0
101 = 5
111 = 7
Combined result: 057₈

Result: 2F₁₆ = 57₈