TinyCheque

Decimal to Octal Converter

Convert decimal numbers to octal (base-8) numbers easily. Perfect for programmers and computer science students.

Instant Conversion
Step-by-Step Guide
Integer Support
Free Tool
10
8

Features

Instant Conversion

Convert decimal numbers to octal format in real-time with accurate results.

Support for Negatives

Handle both positive and negative decimal numbers with proper sign handling.

User-Friendly

Simple interface with clear input/output fields and instant reset capability.

How Decimal to Octal Conversion Works

Octal numbers use base-8, meaning they only use digits from 0 to 7. The conversion process involves:

  1. Dividing the decimal number by 8 repeatedly
  2. Recording the remainder at each step
  3. Reading the remainders in reverse order

For example, to convert 25 (decimal) to octal:
25 ÷ 8 = 3 remainder 1
3 ÷ 8 = 0 remainder 3
Result: 31 (octal)

Frequently Asked Questions

What is the octal number system?

The octal number system is a base-8 number system that uses digits from 0 to 7. It's commonly used in computing and digital systems.

Why use octal numbers?

Octal numbers are useful in computer programming, particularly when working with file permissions in Unix-like systems and embedded systems.

Can I convert fractional numbers?

This converter handles whole numbers. For fractional numbers, the decimal part would need to be converted separately using multiplication by 8.