Decimal to Octal converter
Simplify the process of converting decimal numbers to octal format with our efficient Decimal to Octal Converter. This tool allows you to effortlessly convert any decimal value into its equivalent octal representation. Just input the decimal number, and our converter will instantly generate the octal form, showcasing the digits 0-7 that make up the octal
What is Decimal to Octal converter
A Decimal to Octal converter is a tool or program that helps convert decimal numbers into their equivalent octal representation. Decimal numbers are numbers expressed in the base-10 numeral system, while octal numbers are numbers expressed in the base-8 numeral system, using digits from 0 to 7.
To use a Decimal to Octal converter, you input a decimal number, and it provides you with the octal representation of that number.
Here's an example:
Let's say you have the decimal number 23. To convert it to octal, you would perform the following steps:
-
Divide the decimal number by 8. 23 รท 8 = 2, Remainder = 7
-
Divide the quotient from step one (2) by 8 again. 2 รท 8 = 0, Remainder = 2
Now, write down the remainders from the last step to the first step: 27
So, the decimal number 23 is equivalent to 27 in octal representation.
There are various online tools, calculators, or programming functions available that offer Decimal to Octal conversion capabilities, making it convenient to perform these conversions quickly and accurately.
How to convert from decimal to octal
Conversion steps:
- Divide the number by 8.
- Get the integer quotient for the next iteration.
- Get the remainder for the octal digit.
- Repeat the steps until the quotient is equal to 0.
Example #1
Convert 756210 to octal:
| Division by 8 |
Quotient (integer) |
Remainder (decimal) |
Remainder (octal) |
Digit # |
|---|---|---|---|---|
| 7562/8 | 945 | 2 | 2 | 0 |
| 945/8 | 118 | 1 | 1 | 1 |
| 118/8 | 14 | 6 | 6 | 2 |
| 14/8 | 1 | 6 | 6 | 3 |
| 1/8 | 0 | 1 | 1 | 4 |
So 756210 = 166128
Example #2
Convert 3563110 to octal:
| Division by 8 |
Quotient | Remainder (decimal) |
Remainder (octal) |
Digit # |
|---|---|---|---|---|
| 35631/8 | 4453 | 7 | 7 | 0 |
| 4453/8 | 556 | 5 | 5 | 1 |
| 556/8 | 69 | 4 | 4 | 2 |
| 69/8 | 8 | 5 | 5 | 3 |
| 8/8 | 1 | 0 | 0 | 4 |
| 1/8 | 0 | 1 | 1 | 5 |
So 3563110 = 1054578
Decimal to octal conversion table
| Decimal base 10 |
Octal base 8 |
|---|---|
| 0 | 0 |
| 1 | 1 |
| 2 | 2 |
| 3 | 3 |
| 4 | 4 |
| 5 | 5 |
| 6 | 6 |
| 7 | 7 |
| 8 | 10 |
| 9 | 11 |
| 10 | 12 |
| 11 | 13 |
| 12 | 14 |
| 13 | 15 |
| 14 | 16 |
| 15 | 17 |
| 16 | 20 |
| 17 | 21 |
| 18 | 22 |
| 19 | 23 |
| 20 | 24 |
| 21 | 25 |
| 22 | 26 |
| 23 | 27 |
| 24 | 30 |
| 25 | 31 |
| 26 | 32 |
| 27 | 33 |
| 28 | 34 |
| 29 | 35 |
| 30 | 36 |
| 40 | 50 |
| 50 | 62 |
| 60 | 74 |
| 70 | 106 |
| 80 | 120 |
| 90 | 132 |
| 100 | 144 |
| 200 | 310 |
| 1000 | 1750 |
| 2000 | 3720 |
