This program takes an integer from user and that integer is reversed.

If the reversed integer is equal to the integer entered by user then, that number is a palindrome if not that number is not a palindrome.

Example: Check Palindrome Number

#include <iostream>
using namespace std;

int main(){
     int n, num, digit, rev = 0;

     cout << "Enter a positive number: ";
     cin >> num;

     n = num;

     do
     {
         digit = num % 10;
         rev = (rev * 10) + digit;
         num = num / 10;
     } while (num != 0);

     cout << " The reverse of the number is: " << rev << endl;

     if (n == rev)
         cout << " The number is a palindrome.";
     else
         cout << " The number is not a palindrome.";

    return 0;
}

Output

Enter a positive number: 12321
The reverse of the number is: 12321
The number is a palindrome.

Enter a positive number: 12331
The reverse of the number is: 13321
The number is not a palindrome.

In the above program, use is asked to enter a positive number which is stored in the variable num.

The number is then saved into another variable n to check it when the original number has been reversed.

Inside the do…while loop, last digit of the number is separated using the code digit = num % 10;. This digit is then added to the rev variable.

Before adding the digit to rev, we first need to multiply the current data in the rev variable by 10 in order to add the digit to the n^th place in the number.

For example: in the number 123, 3 is in the zero^th place, 2 in the one^th place and 1 in the hundred^th place.

So, to add another number 4 after 123, we need to shift the current numbers to the left, so now 1 is in the thousand^th place, 2 in the one^th place, 3 is in the one^thplace and 4 in the zero^th place.

This is done easily by multiplying 123 by 10 which gives 1230 and adding the number 4, which gives 1234. The same is done in the code above.

When the do while loop finally ends, we have a reversed number in rev. This number is then compared to the original number n.

If the numbers are equal, the original number is a palindrome, otherwise it’s not.