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C++ Program to convert Decimal to Binary

This article guide you for writing a C++ Program which converts Decimal Number to Binary Number. We can convert any decimal number (base-10 (0 to 9)) into binary number (base-2 (0 or 1)) by C++ program.

Decimal Number

Decimal number is a base 10 number because it ranges from 0 to 9, there are total 10 digits between 0 to 9. Any combination of digits is decimal number such as 223, 585, 192, 0, 7 etc.

Binary Number

Binary number is a base 2 number because it is either 0 or 1. Any combination of 0 and 1 is binary number such as 1001, 101, 11111, 101010 etc.

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Let’s see the some binary numbers for the decimal number.


Decimal
Binary
10
210
311
4100
5101
6110
7111
81000
9 1001
101010
111011
121100
131101
141110
151111

Decimal to Binary Conversion Algorithm

  1. Divide the number by 2 through % (modulus operator) and store the remainder in array
  2. Divide the number by 2 through / (division operator)
  3. Repeat the step 2 until the number is greater than zero

Let’s see the C++ example to convert decimal to binary.

    #include <iostream>  
    using namespace std;  
    int main()  
    {  
    int a[10], n, i;    
    cout<<"Enter the number to convert: ";    
    cin>>n;    
    for(i=0; n>0; i++)    
    {    
    a[i]=n%2;    
    n= n/2;  
    }    
    cout<<"Binary of the given number= ";    
    for(i=i-1 ;i>=0 ;i--)    
    {    
    cout<<a[i];    
    }    
    }  

Output:

Enter the number to convert: 9
Binary of the given number= 1001
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Conclusion:

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