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Check if a number has same number of set and unset bits
  • Difficulty Level : Easy
  • Last Updated : 23 Apr, 2021

Given a number N, the task is to check whether the count of the set and unset bits in the given number are same. 
Examples: 
 

Input: 12
Output: Yes
1100 is the binary representation of 12
which has 2 set and 2 unset bits 

Input: 14
Output: No

 

Approach: Traverse in the binary representation of the given number, check if the leftmost bit is set or not using n & 1. If n & 1 returns 1, then the left most bit is set. Right, shift the number every time by 1 to check the next bit. Once the binary representation is traversed completely, check if the number of set bit and unset bits are same. If they are same, print “YES” else print “NO”. 
Below is the implementation of the above approach: 
 

C++




// C++ program to check if a number
// has same number of set and unset bits
#include <bits/stdc++.h>
using namespace std;
 
// Function to check if a number
// has same setbits and unset bits
bool checkSame(int n)
{
    int set = 0, unset = 0;
 
    // iterate for all bits of a number
    while (n) {
 
        // if set
        if (n & 1)
            set++;
        // if unset
        else
            unset++;
 
        // right shift number by 1
        n = n >> 1;
    }
 
    // is number of set bits are
    // equal to unset bits
    if (set == unset)
        return true;
    else
        return false;
}
 
// Driver Code
int main()
{
    int n = 12;
 
    // function to check
    if (checkSame(n))
        cout << "YES";
    else
        cout << "NO";
    return 0;
}

Java




// Java program to check if
// a number has same number
// of set and unset bits
import java.io.*;
 
class GFG
{
     
// Function to check if a
// number has same setbits
// and unset bits
static boolean checkSame(int n)
{
    int set = 0;
    int unset = 0;
 
    // iterate for all
    // bits of a number
    while (n > 0)
    {
 
        // if set
        if ((n & 1) ==  1)
            set++;
             
        // if unset
        else
            unset++;
 
        // right shift
        // number by 1
        n = n >> 1;
    }
 
    // is number of set bits
    // are equal to unset bits
    if (set == unset)
        return true;
    else
        return false;
}
 
// Driver Code
public static void main (String[] args)
{
int n = 12;
 
// function to check
if (checkSame(n))
    System.out.println ("YES");
else
    System.out.println("NO");
     
}
}
 
// This code is contributed
// by akt_mit

Python3




# Python program to check if a number
# has same number of set and unset bits
 
# Function to check if a number
# has same setbits and unset bits
def checkSame(n):
    set, unset = 0, 0
 
    # iterate for all bits of a number
    while(n):
 
        # if set
        if (n and 1):
            set + 1
             
        # if unset
        else:
            unset += 1
 
        # right shift number by 1
        n = n >> 1
         
    # is number of set bits are
    # equal to unset bits
    if (set == unset):
        return True
    else:
        return False
 
# Driver Code
if __name__ == '__main__':
    n = 12
 
    # function to check
    if (checkSame(n)):
        print("YES")
    else:
        print("NO")
 
# This code is contributed
# by 29AjayKumar

C#




// C# program to check if
// a number has same number
// of set and unset bits
using System;
 
public class GFG{
         
// Function to check if a
// number has same setbits
// and unset bits
static bool checkSame(int n)
{
    int set = 0;
    int unset = 0;
 
    // iterate for all
    // bits of a number
    while (n > 0)
    {
 
        // if set
        if ((n & 1) == 1)
            set++;
             
        // if unset
        else
            unset++;
 
        // right shift
        // number by 1
        n = n >> 1;
    }
 
    // is number of set bits
    // are equal to unset bits
    if (set == unset)
        return true;
    else
        return false;
}
 
// Driver Code
     
    static public void Main (){
        int n = 12;
 
    // function to check
    if (checkSame(n))
        Console.WriteLine("YES");
    else
        Console.WriteLine("NO");
     
    }
}

PHP




<?php
// PHP program to check if a number
// has same number of set and unset bits
 
// Function to check if a number
// has same setbits and unset bits
function checkSame($n)
{
    $set = 0;
    $unset = 0;
 
    // iterate for all bits
    // of a number
    while ($n)
    {
 
        // if set
        if ($n & 1)
            $set++;
        // if unset
        else
            $unset++;
 
        // right shift number by 1
        $n = $n >> 1;
    }
 
    // is number of set bits are
    // equal to unset bits
    if ($set == $unset)
        return true;
    else
        return false;
}
 
// Driver Code
$n = 12;
 
// function to check
if (checkSame($n))
    echo "YES";
else
    echo "NO";
 
// This code is contributed
// by Sach_Code
?>

Javascript




<script>
 
// Javascript program to check if a number
// has same number of set and unset bits
 
// Function to check if a number
// has same setbits and unset bits
function checkSame( n)
{
    let set = 0, unset = 0;
 
    // iterate for all bits of a number
    while (n) {
 
        // if set
        if (n & 1)
            set++;
        // if unset
        else
            unset++;
 
        // right shift number by 1
        n = n >> 1;
    }
 
    // is number of set bits are
    // equal to unset bits
    if (set == unset)
        return true;
    else
        return false;
}
 
    // driver code 
    let n = 12;
 
    // function to check
    if (checkSame(n))
        document.write("YES");
    else
       document.write("NO");
     
  // This code is contributed by jana_sayantan. 
</script>
Output: 
YES

 

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