# Check if two numbers are equal without using arithmetic and comparison operators

• Difficulty Level : Basic
• Last Updated : 01 Nov, 2021

Following are not allowed to use
1) Arithmetic and Comparison Operators
2) String functions

Method 1 : The idea is to use XOR operator. XOR of two numbers is 0 if the numbers are same, otherwise non-zero.

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## C++

 `// C++ program to check if two numbers``// are equal without using arithmetic``// and comparison operators``#include ``using` `namespace` `std;` `// Function to check if two``// numbers are equal using``// XOR operator``void` `areSame(``int` `a, ``int` `b)``{``    ``if` `(a ^ b)``        ``cout << ``"Not Same"``;``    ``else``        ``cout << ``"Same"``;``}` `// Driver Code``int` `main()``{` `    ``// Calling function``    ``areSame(10, 20);``}`

## Java

 `// Java program to check if two numbers``// are equal without using arithmetic``// and comparison operators``class` `GFG {` `    ``// Function to check if two``    ``// numbers are equal using``    ``// XOR operator``    ``static` `void` `areSame(``int` `a, ``int` `b)``    ``{``        ``if` `((a ^ b) != ``0``)``            ``System.out.print(``"Not Same"``);``        ``else``            ``System.out.print(``"Same"``);``    ``}` `    ``// Driver Code``    ``public` `static` `void` `main(String[] args)``    ``{` `        ``// Calling function``        ``areSame(``10``, ``20``);``    ``}``}` `// This code is contributed by Smitha`

## Python3

 `# Python3 program to check if two numbers``# are equal without using arithmetic``# and comparison operators` `def` `areSame(a, b):` `# Function to check if two``# numbers are equal using``# XOR operator`` ``if` `((a ^ b) !``=` `0``):``    ``print``(``"Not Same"``)`` ``else``:``    ``print``(``"Same"``)` `# Driver Code` `areSame(``10``, ``20``)` `# This code is contributed by Smitha`

## C#

 `// C# program to check if two numbers``// are equal without using arithmetic``// and comparison operators``using` `System;` `class` `GFG {` `    ``// Function to check if two``    ``// numbers are equal using``    ``// XOR operator``    ``static` `void` `areSame(``int` `a, ``int` `b)``    ``{``        ``if` `((a ^ b) != 0)``            ``Console.Write(``"Not Same"``);``        ``else``            ``Console.Write(``"Same"``);``    ``}` `    ``// Driver Code``    ``public` `static` `void` `Main(String[] args)``    ``{` `        ``// Calling function``        ``areSame(10, 20);``    ``}``}` `// This code is contributed by Smitha`

## PHP

 ``

## Javascript

 ``

Output :

`Not Same`

Time Complexity: O(1)

Auxiliary Space: O(1)

Method 2 : Here idea is using complement ( ~ ) and bit-wise ‘&’ operator.

## C++

 `// C++ program to check if two numbers``// are equal without using arithmetic``// and comparison operators``#include ``using` `namespace` `std;` `// Function to check if two``// numbers are equal using``// using ~ complement and & operator.``void` `areSame(``int` `a, ``int` `b)``{``    ``if` `((a & ~b) == 0 && (~a & b) == 0)``        ``cout << ``"Same"``;``    ``else``        ``cout << ``"Not Same"``;``}``// Driver Code``int` `main()``{` `    ``// Calling function``    ``areSame(10, 20);``}`

## Java

 `// Java program to check if two numbers``// are equal without using arithmetic``// and comparison operators` `class` `GFG {``    ``// Function to check if two``    ``// numbers are equal using``    ``// using ~ complement and & operator.``    ``static` `void` `areSame(``int` `a, ``int` `b)``    ``{``        ``if` `((a & ~b) == ``0` `&& (~a & b) == ``0``)``            ``System.out.print(``"Same"``);``        ``else``            ``System.out.print(``"Not Same"``);``    ``}` `    ``// Driver Code``    ``public` `static` `void` `main(String args[])``    ``{``        ``// Calling function``        ``areSame(``10``, ``20``);``    ``}``}` `// This code is contributed``// by Akanksha Rai`

## Python3

 `# Python3 program to check if two numbers``# are equal without using arithmetic``# and comparison operators` `# Function to check if two``# numbers are equal using``# using ~ complement and & operator.``def` `areSame(a, b):``    ``if` `( (a & ~b) ``=``=` `0` `and` `(~a & b) ``=``=` `0` `):``        ``print``(``"Same"``)``    ``else``:``        ``print``(``"Not Same"``)    ``# Calling function``areSame(``10``, ``20``)` `# This code is contributed by Rajput-Ji`

## C#

 `// C# program to check if two numbers``// are equal without using arithmetic``// and comparison operators``using` `System;` `class` `GFG {``    ``// Function to check if two``    ``// numbers are equal using``    ``// using ~ complement and & operator.``    ``static` `void` `areSame(``int` `a, ``int` `b)``    ``{``        ``if` `((a & ~b) == 0 && (~a & b) == 0)``            ``Console.Write(``"Same"``);``        ``else``            ``Console.Write(``"Not Same"``);``    ``}` `    ``// Driver Code``    ``public` `static` `void` `Main()``    ``{``        ``// Calling function``        ``areSame(10, 20);``    ``}``}` `// This code is contributed``// by Akanksha Rai`

## PHP

 ``

## Javascript

 ``

Output :

`Not Same`

Time Complexity: O(1)

Auxiliary Space: O(1)

Source: https://www.geeksforgeeks.org/count-of-n-digit-numbers-whose-sum-of-digits-equals-to-given-sum/