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Decimal to Octal Converter

Convert base-10 numbers to octal (base 8)

How to decimal to octal

  1. 1.Enter a decimal number in the input field.
  2. 2.The octal equivalent and all other bases appear instantly.
  3. 3.Switch the input base if you want to convert from another format.
  4. 4.Click Copy next to any result to use it.

About This Tool

Converts decimal (base 10) numbers to octal (base 8). Octal uses digits 0-7 and was historically important in computing because each octal digit maps to exactly 3 binary bits. It's still used today for Unix file permissions (chmod 755) and some programming contexts.

Frequently Asked Questions

Octal is a base-8 number system using digits 0-7. Each octal digit represents 3 binary bits, making it a compact way to express groups of 3 bits.

Primarily in Unix/Linux file permissions (e.g. chmod 755 means rwxr-xr-x). It also appears in some programming languages as number literals prefixed with 0 or 0o.

Divide the decimal number by 8 repeatedly, recording the remainder each time. Read the remainders from bottom to top to get the octal representation.

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