Add Two Big Number In Java

We have two big number such that out of range of Integers then, how are you add these number.

we solve this problem using string

public class AddTwoNumber {   

 static    int getCarry(int num){

        return ((num)>9 && (num)<20?1:(num)>=20?2:0);

    }

static int getRemander(int num){

    return ((num)>=10?(num)%10:(num));

 }   

     static String  AddBigNumber(String num1 , String num2){

           String sum="";

          // int length=(num1.length()>num2.length()?num1.length():num2.length());

         int length1=(num1.length()-1);

         int length2=(num2.length()-1);

         int carry=0;

         int rem=0;

         int num=0;

         while (length1>=0 && length2>=0) {

            int n=num1.charAt(length1)-'0';

            int m=num2.charAt(length2)-'0';

            num=n+m+carry;

            carry=getCarry(num);

            rem=getRemander(num);

            sum+=rem;

            System.out.println("rem="+rem+"carry="+carry+"sum="+sum);

            length1--;

            length2--;

        }

         if(!(length1>=0)){

             System.out.println("in second ");

             while (length2>=0) {

                    int m=num2.charAt(length2)-'0';

                    num=m+carry;

                    carry=getCarry(num);

                    rem=getRemander(num);

                    sum+=rem;

                    length2--;   

                    }       

         }

         if (!(length2>=0)) {

             System.out.println("in first ");

           

                   while (length1>=0) {

                    int n=num1.charAt(length1)-'0';

                    num=n+carry;

                    carry=getCarry(num);

                    rem=getRemander(num);

                    sum+=rem;

                    length1--;                   

                }

           

        }

        if (carry!=0) {

            sum+=carry;

        }

         return sum ;

        }   

    public static void main(String[] args) {

        String str=AddBigNumber("12","48");

        System.out.println("my sum is");

      for (int i = (str.length()-1); i>=0; i--) {

                  System.out.print(str.charAt(i));

        }   

    }

   

}

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