Decimal to Octal Converter

Convert decimal numbers to octal (base-8) instantly. Free online decimal to octal calculator with examples.

💡 Enter decimal → get octal. Example: "493" → "755".

0

How to Convert Decimal to Octal

Step-by-step guide with examples

Input
Convert
Result
1

What is Decimal to Octal Conversion?

Decimal to octal conversion transforms base-10 numbers into base-8 numbers using digits 0-7. Octal is used in Unix file permissions and some computing contexts.

2

How to Convert Decimal to Octal Step-by-Step

1. Divide the decimal number by 8. 2. Record the remainder. 3. Repeat with the quotient until it reaches 0. 4. Read remainders bottom to top. Example: 493 ÷ 8 = 61 R 5, 61 ÷ 8 = 7 R 5, 7 ÷ 8 = 0 R 7 → 755

3

Common Use Cases

• Unix/Linux file permissions (chmod values). • Legacy computing systems. • PLC and embedded system programming. • Number system education.

Frequently Asked Questions

2 common questions answered

2 Questions2 AnswersClick to expand
Q1How to convert decimal to octal?
Divide by 8 repeatedly and record remainders. Read remainders bottom-to-top. Example: 493 → 755 octal.
Q2What is decimal to octal conversion?
It converts base-10 numbers to base-8 numbers using digits 0-7. Common in Unix permissions where 755 means rwxr-xr-x.