使用位运算查找两个数字的平均值

给定两个整数x和y ，任务是使用位运算找到这些数字的平均值，即(x + y)/ 2 。请注意，此方法将得出结果作为计算平均值的下限值。
例子：

Input: x = 2, y = 4 
Output: 3 
(2 + 4) / 2 = 3
Input: x = 10, y = 9 
Output: 9 
 

方法：可以使用位运算来计算两个数字x和y的平均值：

(x & y) + ((x ^ y) >> 1) 
 

其中＆是按位AND， ^是按位XOR， >> 1右移1位。
下面是上述方法的实现：

C++

// C++ implementation of the approach
#include 
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;
}

Java

// 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));
    }
}

Python

# 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))

C#

// 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

PHP

> 1);
 
    return $avg;
}
 
// Driver code
    $x = 10;
    $y = 9;
 
    echo getAverage($x, $y);
 
// This code is contributed by ajit.
?>

Javascript

// javascript 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
        var avg = (x & y) + ((x ^ y) >> 1);
 
        return avg;
    }
 
    // Driver code
    var x = 10, y = 9;
    document.write(getAverage(x, y));
 
// This code is contributed by Rajput-Ji

输出：

9

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