# 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

## Recommended: Please try your approach on {IDE} first, before moving on to the solution.

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++

 `// 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. ` `?> `

Output:

```9
```

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Improved By : AnkitRai01, jit_t