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# An Interesting Method to Generate Binary Numbers from 1 to n?

Here we will see one interesting method for generating binary numbers from 1 to n. Here we are using queue. Initially the queue will hold first binary number ‘1’. Now repeatedly delete element from queue, and print it, and append 0 at the end of the front item, and append 1 at the end of the front time, and insert them into the queue. Let us see the algorithm to get the idea.

## Algorithm

### genBinaryNumbers(n)

Begin define empty queue. insert 1 into the queue while n is not 0, do delete element from queue and store it into s1 print s1 s2 := s1 insert s1 by adding 0 after it into queue insert s1 by adding 1 after it into queue decrease n by 1 done End

## Example

#include <iostream> #include <queue> using namespace std; void genBinaryNumbers(int n){ queue<string> qu; qu.push("1"); while(n != 0){ string s1 = qu.front(); qu.pop(); cout << s1 << " "; string s2 = s1; qu.push(s1 + "0"); qu.push(s1 + "1"); n--; } } int main() { int n = 15; genBinaryNumbers(n); }

## Output

1 10 11 100 101 110 111 1000 1001 1010 1011 1100 1101 1110 1111

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