Decimal to Octal

Decimal to Octal Converter


A Decimal to Octal converter is a free online tool that converts a number from its decimal (base-10) representation to its octal (base-8) representation. Decimal is the numbering system most commonly used by humans, with 10 digits (0 through 9), while octal is a numbering system with 8 digits (0 through 7). Octal is used less frequently than hexadecimal in computing but can still be useful in some contexts.

Here's how you can manually convert a decimal number to octal:

  • Divide the decimal number by 8.
  • Write down the remainder (if any) as the least significant digit of the octal number.
  • Take the quotient from step 1 and repeat steps 1 and 2 until the quotient becomes 0.
  • Write down all the remainders obtained in step 2 in reverse order. These will be the octal digits.

For example, let's convert the decimal number 79 to octal:

  • 79 divided by 8 equals 9 with a remainder of 7. So, we write down "7" as the least significant digit.
  • Now, divide 9 by 8, which results in 1 with a remainder of 1. We write down "1" as the next digit.
  • Since the quotient is now 1, we continue.
  • Divide 1 by 8, which results in 0 with a remainder of 1. We write down "1" again.
  • The quotient is now 0, so we stop.

Write down the remainders obtained in reverse order: "117."

So, the decimal number 79 is equal to "117" in octal.

You can also use programming languages to perform decimal to octal conversions automatically. Most programming languages provide built-in functions or methods to make such conversions, which can be very convenient for more complex or large decimal numbers.

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