# Convert Decimal to Binary in C++

In this tutorial, we will learn how to convert a decimal number to binary in C++.

Decimal number is a base 10 number as it ranges from 0 to 9. There are 10 total digit choices we can accommodate in a decimal number.
Whereas a binary number is a base 2 number. It has only two-digit choices, 0 and 1. Every binary number is composed of 0s and 1s.

Theoritcally, we convert decimal to binary as follows:

• Suppose the assumed number is 12.
• Divide 12 by 2. The remainder is 0 and the new number is 6.
• Divide 6 by 2. The new value is 3 and the remainder is 0.
• Divide 3 by 2. The new value is 1 and the remainder is 1.
• Once the value reaches 1, we stop, and the answer is 1100.

The same approach is used while converting decimal to binary in C++.

## C++ Code: Convert Decimal to Binary

```#include<iostream>
using namespace std;
void decToBi(int n)
{
int arr[64];
int i=0;
while(n>0)
{
arr[i]=n%2;
n/=2;
i++;
}
for(int j=i-1; j>=0; j--)
{
cout<<arr[j];
}
}
int main()
{
int n = 12;
cout<<"Decimal number is: "<<n;
int ans = decToBi(n);
cout<<"Binary equivalent: "<<ans;
return 0;
}```
```Output:
Decimal number is: 12
Binary Equivalent: 1100```

The explanation to this code is very simple. Have a look if you find the code confusing.

• As the theoretical conversion is explained, the code is very similar to it. The remainder values are used to store the answer.
• An array, arr[], is used to store these remainder values.
• n is divided by 2 each time and the remainder is stored.
• The process is continued till n>0.
• Once the condition fails, the array is printed in reverse order to get the required answer.