Decimal to Octal Converter

User Guide

1. Input Section
   • Enter the decimal number in the text area labeled "Decimal 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 octal system (base-8) is a number system using digits 0 through 7. It is commonly used in computer programming as a shorthand for binary representations, especially in older systems. Converting decimal (base-10) to octal is a straightforward process involving repeated division.

Conversion Method

Steps to Convert:

1. Divide the decimal number by 8 and record the remainder.
2. Use the remainder as the least significant digit (rightmost).
3. Divide the quotient by 8 and repeat until the quotient is 0.
4. Write the remainders in reverse order to form the octal value.

Example:

Convert 345₁₀​ (decimal) to octal:

345 ÷ 8 = 43 remainder 1
43 ÷ 8 = 5 remainder 3
5 ÷ 8 = 0 remainder 5

Write the remainders in reverse order: 531₈

Result: 345₁₀ = 531₈