ConvertDecimal to OctalOnline
This converter converts the given decimal number to octal.
Decimal to Octal
Decimal to octal conversion is the process of converting a decimal (base-10) number into its octal (base-8) representation.
In the decimal system, numbers are expressed using the digits 0 through 9, and in the octal system, numbers are represented using the digits 0 through 7.
Steps to convert decimal to octal
Here are the steps to convert a decimal number to octal:
- Divide the decimal number by 8.
- Record the remainder (which can be any digit from 0 to 7).
- Divide the quotient obtained in step 1 by 8.
- Record the remainder again.
- Repeat steps 3 and 4 until the quotient becomes 0.
- The octal equivalent is the sequence of remainders read in reverse order.
Example
Let's take an example to illustrate the process. Suppose we want to convert the decimal number 85 to octal:
- 85÷8 = 10 with a remainder of 5. Record the remainder.
- 10÷8 = 1 with a remainder of 2. Record the remainder.
- 1÷8 = 0 with a remainder of 1. Record the remainder.
Reading the remainders in reverse order gives us the octal equivalent: 125.
Therefore, 85 in decimal is equal to 125 in octal.