How to convert decimal to octal ?

Are you looking for a way to quickly and easily convert decimal numbers into octal numbers? If so, you've come to the right place! In this blog article, we'll show you the simple steps to convert decimal numbers into octal numbers.

With this knowledge, you'll be able to quickly and easily convert any decimal number into its octal equivalent.

So let’s get started!

What is a Decimal number system ?

A decimal number system is a base 10 number system, which means that it uses 10 distinct symbols (0,1,2,3,4,5,6,7,8 and 9) to represent different values.

What are Octal number ?

Octal numbers are a type of number system that represent values using a base-8 system, which means there are 8 possible digits used for representing numbers (0-7).

Octal numbers are commonly used in computing systems and digital electronics to represent values such as permissions, ownership, and file access modes.

How to convert decimal to Octal ?

Converting a decimal into a octal number involves the following steps:

1. Divide the decimal number by 8.

2. Record the remainder and the result of the division.

3. Divide the result of the division by 8.

4. Record the remainder and the result of the division.

5. Repeat steps 3 and 4 until the result of the division is 0.

6. Take the remainders recorded in steps 1-5 and arrange them in reverse order.

7. The result is the octal equivalent of the decimal number.

You can easily understand by the help of below example

Explanation of above problem

To convert a decimal 126 into a octal number, we have to follow these steps:

1. Divide 126 by 8.

2. The quotient is 15 and the remainder is 6.

3. Divide 15 by 8.

4. The quotient is 1 and the remainder is 7.

5. Read the remainders from the last division to the first division in the reverse order. This will be the Octal representation of the decimal number.

6. The octal equivalent of 126 is 176.

By following those above steps, you can easily convert any decimal to its octal equivalent.

Conclusion

In conclusion, converting a decimal number into an octal number is a relatively simple task. By following the steps outlined in this article, you can quickly and easily convert a decimal number into an octal number.

This process is useful in many areas, from mathematics to computer programming. Understanding how to convert a decimal number into an octal number can be a valuable skill for anyone interested in working with numbers.