Find average of two numbers using bit operation

Given two integers x and y, the task is to find the average of these numbers i.e. (x + y) / 2 using bit operations. Note that this method will give result as floor value of the calculated average.

Examples:

Input: x = 2, y = 4
Output: 3
(2 + 4) / 2 = 3

Input: x = 10, y = 9
Output: 9



Approach: Average of two numbers x and y can be calculated using bit operations as:

(x & y) + ((x ^ y) >> 1)

where & is bitwise AND, ^ is bitwise XOR and >> 1 is right shift by 1 bit.

Below is the implementation of the above approach:

C++

filter_none

edit
close

play_arrow

link
brightness_4
code

// C++ implementation of the approach
#include <bits/stdc++.h>
using namespace std;
  
// Function to return the average
// of x and y using bit operations
int getAverage(int x, int y)
{
    // Calculate the average
    // Floor value of (x + y) / 2
    int avg = (x & y) + ((x ^ y) >> 1);
  
    return avg;
}
  
// Driver code
int main()
{
    int x = 10, y = 9;
  
    cout << getAverage(x, y);
  
    return 0;
}

chevron_right


Java

filter_none

edit
close

play_arrow

link
brightness_4
code

// Java implementation of the approach
class GFG {
  
    // Function to return the average
    // of x and y using bit operations
    static int getAverage(int x, int y)
    {
  
        // Calculate the average
        // Floor value of (x + y) / 2
        int avg = (x & y) + ((x ^ y) >> 1);
  
        return avg;
    }
  
    // Driver code
    public static void main(String[] args)
    {
        int x = 10, y = 9;
  
        System.out.print(getAverage(x, y));
    }
}

chevron_right


Python

filter_none

edit
close

play_arrow

link
brightness_4
code

# Python 3 implementation of the approach 
  
# Function to return the average 
# of x and y using bit operations
def getAverage(x, y):
  
    # Calculate the average
    # Floor value of (x + y) / 2
    avg = (x & y) + ((x ^ y) >> 1);
      
    return avg
  
# Driver code
x = 10
y = 9
print(getAverage(x, y))

chevron_right


C#

filter_none

edit
close

play_arrow

link
brightness_4
code

// C# implementation of the approach 
using System;
  
class GFG 
  
    // Function to return the average 
    // of x and y using bit operations 
    static int getAverage(int x, int y) 
    
  
        // Calculate the average 
        // Floor value of (x + y) / 2 
        int avg = (x & y) + ((x ^ y) >> 1); 
  
        return avg; 
    
  
    // Driver code 
    public static void Main() 
    
        int x = 10, y = 9; 
  
        Console.WriteLine(getAverage(x, y)); 
    
  
// This code is contributed by AnkitRai01

chevron_right


PHP

filter_none

edit
close

play_arrow

link
brightness_4
code

<?php
// PHP implementation of the approach
  
// Function to return the average
// of x and y using bit operations
function getAverage($x, $y)
{
    // Calculate the average
    // Floor value of (x + y) / 2
    $avg = ($x & $y) + (($x ^ $y) >> 1);
  
    return $avg;
}
  
// Driver code
    $x = 10;
    $y = 9;
  
    echo getAverage($x, $y);
  
// This code is contributed by ajit.
?>

chevron_right


Output:

9


My Personal Notes arrow_drop_up

Check out this Author's contributed articles.

If you like GeeksforGeeks and would like to contribute, you can also write an article using contribute.geeksforgeeks.org or mail your article to contribute@geeksforgeeks.org. See your article appearing on the GeeksforGeeks main page and help other Geeks.

Please Improve this article if you find anything incorrect by clicking on the "Improve Article" button below.



Improved By : AnkitRai01, jit_t