Binary Representation of a Given Number in C++

A binary number is a number that consists of only two digits 0 and 1. For example, 01010111.

There are various ways to represent a given number in binary form.

Recursive method

This method is used to represent a number in its binary form using recursion.

Algorithm

Step 1 : if number > 1. Follow step 2 and 3.
Step 2 : push the number to a stand.
Step 3 : call function recursively with number/2
Step 4 : pop number from stack and print remainder by dividing it by 2.

Example

 Live Demo

#include<iostream>
using namespace std;
void tobinary(unsigned number){
   if (number > 1)
      tobinary(number/2);
   cout << number % 2;
}
int main(){
   int n = 6;
   cout<<"The number is "<<n<<" and its binary representation is ";
   tobinary(n);
   n = 12;
   cout<<"\nThe number is "<<n<<" and its binary representation is ";
   tobinary(n);
}

Output

The number is 6 and its binary representation is 110
The number is 12 and its binary representation is 1100