Homework - XOR operation simulation

//Import the Scanner class
import java.util.Scanner;

public class XOR
{
    public static void main (String[] args)
    {
       //Instantiate a Scanner object
       Scanner scan = new Scanner(System.in);
       
       //Ask user for a binary number
       System.out.print("Enter a binary number (0s and 1s) > ");
       String binaryNumber = scan.next();
       
       //Declare a variable for the index of the last character
       int lastIndex = binaryNumber.length() - 1;
       
       //Declare variables for characters
       char character1 = binaryNumber.charAt(0);
       char character2;
       
       //Run a for loop for each character of the string
       for (int i = 0; i < lastIndex; i++)
       {
           //Set character2 to the character to the right of position i
           character2 = binaryNumber.charAt(i + 1);
           
           //XOR character1 and character2
           if ((character1 == '0' || character2 == '0') && !(character1 == '0' && character2 == '0'))
           {
                character1 = '1';
           }
           else
           {
                character1 = '0';
           }
           
       }
       
       //If the XOR operation on the string results in 1, print true; otherwise, print false.
       if (character1 == '1')
       {
           System.out.println("True");
       }
       else
       {
           System.out.println("False");
       }
    }
}

((character1 == '0' || character2 == '0') && !(character1 == '0' && character2 == '0'))