Find XOR from 1 to n Numbers - The Coding Shala

Home >> Programming >> find xor from 1 to n numbers

 In this post, we will learn how to Find XOR of 1 to n Number in Java.

Find XOR from 1 to n Numbers

Given a number n, find the xor from 1 to n.

Example:
Input: n = 6
Output: 7
Explanation: 1 ^ 2 ^ 3 ^ 4 ^ 5 ^ 6  = 7

Approach 1

Using the loop. [Simple solution]

Java Program: 

class Solution {
    
    public static void main(String[] args) {
        int n = 6;
        int result = 0;
        for(int i=1; i<=n; i++) {
            result = result ^ i;
        }
        System.out.println("XOR is: " + result);
    }
}

Approach 2 [ Efficient Method ]

Find remainder = n%4

if rem = 0, then xor will be same as n.
if rem = 1, then xor will be 1.
if rem = 2, then xor will be n+1.
if rem = 3, then xor will be 0.

Java Program: 

class Solution {
    
    public static void main(String[] args) {
        int n = 6;
        int rem = n%4;
        int result = 0;
        if(rem == 0) {
            result = n;
        } else if(rem == 1) {
            result = 1;
        } else if(rem == 2) {
            result = n+1;
        } else if(rem == 3) {
            result = 0;
        }
        System.out.println("XOR is: " + result);
    }
}


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