# Fast average of two numbers without division

• Difficulty Level : Medium
• Last Updated : 31 May, 2022

Given two numbers, find floor of their average without using division.

```Input : x = 10, y = 12
Output : 11

Input : x = 10, y = 7
Output : 8
We take floor of sum.```

The idea is to use right shift operator, instead of doing (x + y)/2, we do (x + y) >> 1

## C++

 `// C++ program to find average without using``// division.``#include ``using` `namespace` `std;` `int` `floorAvg(``int` `x, ``int` `y) {``     ``return` `(x + y) >> 1; }` `int` `main() {``  ``int` `x = 10, y = 20;``  ``cout << ``"Average = "` `<< floorAvg(x, y) <

## C

 `// C program to find average without using``// division.``#include ` `int` `floorAvg(``int` `x, ``int` `y) {``     ``return` `(x + y) >> 1; }` `int` `main() {``  ``int` `x = 10, y = 20;``  ``printf``(``"\n\nAverage = %d\n\n"``, floorAvg(x, y));``  ``return` `0;``}`

## Java

 `// Java program to find average``// without using division``class` `GFG``{``    ``static` `int` `floorAvg(``int` `x, ``int` `y) {``    ``return` `(x + y) >> ``1``; }``    ` `    ``// Driver code``    ``public` `static` `void` `main (String[] args)``    ``{``        ``int` `x = ``10``, y = ``20``;``        ``System.out.print(floorAvg(x, y));``    ``}``}` `// This code is contributed by Anant Agarwal.`

## Python3

 `# Python3 program to find average``# without using division.``def` `floorAvg(x, y):``    ``return` `(x ``+` `y) >> ``1` `# Driver code``x ``=` `10``y ``=` `20` `print``(``"Average "``, floorAvg(x, y))` `# This code is contributed by sunny singh`

## C#

 `// C# program to find average``// without using division``using` `System;` `class` `GFG``{``    ``static` `int` `floorAvg(``int` `x, ``int` `y)``    ``{``      ``return` `(x + y) >> 1;``    ``}``    ` `    ``// Driver code``    ``public` `static` `void` `Main (String[] args)``    ``{``        ``int` `x = 10, y = 20;``        ``Console.Write(``"Average = "``);``        ``Console.Write(floorAvg(x, y));``    ``}``}` `// This code is contributed by parashar...`

## PHP

 `> 1;``    ` `}` `    ``// Driver Code``    ``\$x` `= 10;``    ``\$y` `= 20;``    ``echo` `"Average = "``, floorAvg(``\$x``, ``\$y``);` `// This Code is contributed by Ajit``?>`

## Javascript

 ``

Output:

`Average = 15`

Time Complexity : O(1)

Auxiliary Space: O(1)

Applications :
We need floor of average of two numbers in many standard algorithms like Merge Sort, Binary Search, etc. Since we use bitwise operator instead of division, the above way of finding average is faster.

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