Convert decimal to octal

Decimal:
Octal:

A Convert Decimal to Octal tool transforms a base-10 number (decimal) into a base-8 number (octal).

Why use Decimal to Octal conversion?

  • Computer Science: Octal is used in file permissions (Unix/Linux) and digital circuits.
  • Embedded Systems: Some microcontrollers use octal for memory addressing.
  • Compact Representation: Octal is shorter than binary but still easily readable.

How does it work?

  • Divide the decimal number by 8.
  • Record the remainder.
  • Repeat until the quotient is 0.
  • Read the remainders in reverse order.

When to use it?

  • When working with low-level computing (assembly language, file permissions).
  • In mathematical problems involving different bases.
  • For educational purposes in number system conversions.