How to convert a decimal number to an octal number

Conversion steps

We can take the following steps to convert a decimal number to its octal equivalent:

• First, take a decimal number and then check it. If the number is less than $8$, the octal number will remain the same.

• If the number is greater than $7$, divide it by $8$ and store the remainder.

• If the quotient is greater than $8$, keep dividing it by $8$ until the quotient becomes $0.$

• Repeat this step until we get a quotient less than $8$.

Converting procedure

The following figure illustrates the conversion of a decimal number to an octal number:

The following illustration demonstrates the final step of conversion:

Code explanation

• We have a $7656$ number that needs to be converted into an octal number.
• Now divide this number by $8$.
• After that, we get a quotient of $957$ and the remainder of $0$.
• Now we have a $957$ number, which needs to divide by $8$ and get a $119$ quotient and $5$. This $5$ is less than $7$.
• We repeat this step until we get $0$ in the quotient.
• When we have $0$ in number, we get a number in octal decimal, which we write in the reverse direction in the final result, as shown above.