Decimal To Octal Converter
Enter the decimal value to convert to octal or Octal to Decimal.
Decimal:
Decimal is the standard Base-10 number system.
Octal:
Octal (Base-8) is used in computing, particularly for Unix file permissions and some legacy systems.
How to Convert Decimal to Octal — Formula:
Repeatedly divide by 8 and record remainders. Read from bottom to top.
Example: 493 ÷ 8 = 61 R5, 61 ÷ 8 = 7 R5, 7 ÷ 8 = 0 R7 → Octal: 755.
Technical Details:
Octal was popular in early computing (PDP-8, UNIVAC) because 3 binary digits map to 1 octal digit. It is still used for Unix permissions and C/C++ octal literals (prefix 0, e.g., 0755).
Decimal To Octal Converter:
Convert decimal numbers to octal format. Useful for setting file permissions in Unix/Linux systems.
Binary ↔ Hex ↔ Octal: Grouping Relationship
Binary → Hex (group by 4 bits):
Binary → Octal (group by 3 bits):
Frequently Asked Questions
How do I convert Decimal to Octal?
Repeatedly divide by 8 and record remainders. Read from bottom to top.
What is the Decimal number system?
Decimal is the standard Base-10 number system.
What is the Octal number system?
Octal (Base-8) is used in computing, particularly for Unix file permissions and some legacy systems.
Where is Decimal to Octal conversion used?
Octal was popular in early computing (PDP-8, UNIVAC) because 3 binary digits map to 1 octal digit. It is still used for Unix permissions and C/C++ octal literals (prefix 0, e.g., 0755).
Can I convert large decimal numbers?
Yes. This converter handles numbers of any practical size. For very large numbers, the conversion is performed using arbitrary-precision arithmetic to ensure accuracy.