In this shot, we will discuss how to convert a number from decimal to octal in C++.

When we convert a decimal number to an octal number, we divide the number by $8$. Then, we again divide the quotient by $8$. We repeat the process until the remainder comes between $0$ - $7$.

Look at the image below to better understand how this conversion works.

In the above image, the number is divided by $8$ until the remainder comes between $0$ - $7$. When the remainder is between $0$ - $7$, we write the values in reverse order, as shown in the image. For example, the value of a *decimal number* $333$ in *octal* form is $515$.

Let's look at the following code snippet to understand it better.

#include <iostream>

using namespace std;

int main() {
  int decimal, octal = 0, remainder, product = 1;
  cin >> decimal;
  while (decimal != 0) {
    remainder = decimal % 8;
    decimal = decimal / 8;
    octal = octal + (remainder*product);
    product *= 10;
    }
  cout << "The number in the octal form is: " <<octal;
  return 0;
}

## Explanation
Enter a number in the above input section.

* In *line 6,* we initialize the variables `decimal`, `octal`, `remainder`, and `product`.

* In *line 7,* we take `decimal` as input.

* From *lines 8 to 12,* we initialize a while loop. In the loop, we calculate the remainders and quotients as shown in the above illustration to convert the decimal number to its octal equivalent.

* In *line 14,* we print the output, i.e., the octal equivalent of the decimal number.

This way, we can convert the value of a decimal number to an octal number.

How to convert a number from a decimal to an octal in C++

Explanation