# Convert numbers into binary representation and add them without carry

• Difficulty Level : Easy
• Last Updated : 29 Apr, 2021

Given two numbers N and M. The task to convert both the numbers in the binary form then add respective bits of both the binary converted numbers but with a given condition that there is not any carry system in this addition.

```Input: N = 37, M = 12
Output: 41

Input: N = 456, M = 854
Output: 670```

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Approach:

• If we don’t consider carry then the binary addition of two bits will be:

```    1 + 0 = 1
0 + 1 = 1
0 + 0 = 0
1 + 1 = 0 (No carry)```
• If you observe clearly you will notice that this is just bitwise XOR of two numbers.

Below is the implementation of the above approach

## C++

 `// C++ program to add two binary``// number without carry``#include``using` `namespace` `std;` `// Function returns sum of both``// the binary number without``// carry``int` `NoCarrySum(``int` `N, ``int` `M)``{``    ``// XOR of N and M``    ``return` `N ^ M;``}``    ` `// Driver code``int` `main()``{``    ``int` `N = 37;``    ``int` `M = 12;``    ` `    ``cout << NoCarrySum(N, M);``    ``return` `0;``}`

## Java

 `// Java program to add two binary``// number without carry``import` `java.util.*;` `class` `GFG{` `// Function returns sum of both``// the binary number without``// carry``static` `int` `NoCarrySum(``int` `N, ``int` `M)``{``    ``// XOR of N and M``    ``return` `N ^ M;``}``    ` `// Driver code``public` `static` `void` `main(String[] args)``{``    ``int` `N = ``37``;``    ``int` `M = ``12``;``    ``System.out.print(NoCarrySum(N, M));``}``}` `// This code is contributed by amal kumar choubey`

## Python3

 `# Python3 program to add two binary``# number without carry` `# Function returns sum of both``# the binary number without``# carry``def` `NoCarrySum(N, M):` `    ``# XOR of N and M``    ``return` `N ^ M` `# Driver code``N ``=` `37``M ``=` `12``print``(NoCarrySum(N, M))` `# This code is contributed by sayesha`

## C#

 `// C# program to add two binary``// number without carry``using` `System;` `class` `GFG{` `// Function returns sum of both``// the binary number without``// carry``static` `int` `NoCarrySum(``int` `N, ``int` `M)``{``    ` `    ``// XOR of N and M``    ``return` `N ^ M;``}``    ` `// Driver code``static` `public` `void` `Main(String[] args)``{``    ``int` `N = 37;``    ``int` `M = 12;``    ``Console.Write(NoCarrySum(N, M));``}``}` `// This code is contributed by Rajput-Ji`

## Javascript

 ``
Output:
`41`

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