# C++ Program for Decimal to octal conversion

## Program for Decimal to octal conversion

The concept of conversion is very simple.A decimal number can be converted to an octal number by using the repeated division-by-8 method i.e repeatedly divide the decimal number by 8 until no further divisions can be done and the remainder of each division will give us the octal number of decimal number.

Example:717

1) 717/8, Remainder = 5, Quotient = 89 2) 89/8, Remainder = 1, Quotient = 11

3)  11/8, Remainder = 3, Quotient = 1    4)  1/8, Remainder = 1, Quotient = 0

717 in decimal = 1315 in octal. ## Algorithm:-

1. User gives an input(decimal number).
2. The input is stored in an int type variable say decimal.
3. A function convert() is called with decimal as a parameter.
1. A loop is started
1. The number is divided by 8 and the remainder is stored.

int rem = decimal % 8;

2. The octal number is constructed using the remainder.

octal += rem * i;

2. The loop will run until the number is not equal to 0.

while (decimal != 0)

4. The output is printed ## C++ Code:-

`//C++ Program//decimal to octal conversion#include #include using namespace std;// Function to convert a decimal number to octalint convert(int decimal){    int i = 1, octal = 0;    //converting decimal to octal    while (decimal != 0)    {        int rem = decimal % 8;        decimal /= 8;        octal += rem * i;        i *= 10;    }    return octal;}//main programint main(){    int decimal,octal;    cout << “Enter a decimal number: “;    //user input    cin >> decimal;    //calling function    octal = convert(decimal);    //printing output    cout << decimal << ” in decimal = “ << octal << ” in octal”;        return 0;}`
`OutputEnter a decimal number: 10981098 in decimal = 2112 in octal` 