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Odious number

  • Difficulty Level : Hard
  • Last Updated : 08 Apr, 2021

Odious number is a nonnegative number that has an odd number of 1s in its binary expansion. The first few odious numbers are therefore 1, 2, 4, 7, 8, 11, 13, 14, 16, 19… 
Given a number check if its a odious number or not. 
Examples : 
 

Input : 16
Output : Odious Number
Explanation: Binary expansion of 16 = 10000, 
having number of 1s =1 i.e odd.

Input : 23
Output :  Not odious number
Explanation: Binary expansion of 23 is 10111,
the number of 1s in this is 4 i.e even. 

 

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1) Count set bits in given number
2) Return true if the count is odd, false otherwise. 
 

C++




// C/C++ program to check if a number is
// Odious Number or not
#include <iostream>
using namespace std;
#include <math.h>
 
/* Function to get no of set bits in binary
   representation of passed binary no.
   Please refer below for details of this
   function :
int countSetBits(int n)
{
    unsigned int count = 0;
    while (n)
    {
      n &= (n-1) ;
      count++;
    }
    return count;
}
 
// Check if number is odious or not
int checkOdious(int n)
{
    return (countSetBits(n) % 2 == 1);
}
 
// Driver Code
int main()
{
    int num = 32;
    if (checkOdious(num))
        cout << "Yes";
    else
        cout << "No";
    return 0;
}

Java




// Java program to check if a number is
// Odious Number or not
import java.io.*;
import java.math.*;
 
class GFG {
     
    /* Function to get no of set bits in binary
       representation of passed binary no.
       Please refer below for details of this
       function :
    static int countSetBits(int n)
    {
        int count = 0;
        while (n!=0)
        {
          n &= (n-1) ;
          count++;
        }
        return count;
    }
      
    // Check if number is odious or not
    static boolean checkOdious(int n)
    {
        return (countSetBits(n) % 2 == 1);
    }
      
    // Driver Code
    public static void main(String args[])
    {
        int num = 32;
        if (checkOdious(num))
            System.out.println("Yes");
        else
            System.out.println("No");
    }
}
 
/*This code is contributed by Nikita Tiwari.*/

Python3




# Python 3 program to check if a number is
# Odious Number or not
 
# Function to get no of set bits in binary
# representation of passed binary no.
# Please refer below for details of this function :
def countSetBits(n) :
    count = 0
     
    while (n) :
        n = n & (n-1)
        count = count + 1
     
    return count
 
 
# Check if number is odious or not
def checkOdious(n) :
    return (countSetBits(n) % 2 == 1)
     
# Driver Code
num = 32
 
if (checkOdious(num)) :
    print("Yes")
else :
    print("No")
     
 
# This code is contributed by Nikita Tiwari.

C#




// C# program to check if a number
// is Odious Number or not
using System;
 
class GFG {
     
    /* Function to get no of set bits in
    binary representation of passed binary
    no. Please refer below for details
    of this function :
    static int countSetBits(int n)
    {
        int count = 0;
        while (n != 0)
        {
        n &= (n - 1) ;
        count++;
        }
         
        return count;
    }
     
    // Check if number is odious or not
    static bool checkOdious(int n)
    {
        return (countSetBits(n) % 2 == 1);
    }
     
    // Driver Code
    public static void Main()
    {
        int num = 32;
        if (checkOdious(num))
            Console.Write("Yes");
        else
            Console.Write("No");
    }
}
 
/*This code is contributed by vt_m.*/

PHP




<?php
// PHP program to check if a number
// is Odious Number or not
 
// Function to get no of
// set bits in binary
function countSetBits($n)
{
    $count = 0;
    while ($n)
    {
        $n &= ($n - 1) ;
        $count++;
    }
    return $count;
}
 
// Check if number is odious or not
function checkOdious($n)
{
    return (countSetBits($n) % 2 == 1);
}
 
// Driver Code
$num = 32;
if (checkOdious($num))
    echo "Yes";
else
    echo "No";
 
// This code is contributed by mits
?>

Javascript




<script>
 
// JavaScript program to check if a number is
// Odious Number or not
 
    /* Function to get no of set bits in binary
       representation of passed binary no.
       Please refer below for details of this
       function :
    function countSetBits(n)
    {
        let count = 0;
        while (n!=0)
        {
          n &= (n-1) ;
          count++;
        }
        return count;
    }
        
    // Check if number is odious or not
    function checkOdious(n)
    {
        return (countSetBits(n) % 2 == 1);
    }
 
// Driver code
 
        let num = 32;
        if (checkOdious(num))
            document.write("Yes");
        else
            document.write("No");
 
</script>

Output : 
 

Yes

 




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