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Authors:
Stuart Reges, Marty Stepp
Chapter:
Arrays
Exercise:
Programming Projects
Question:1 | ISBN:9780136091813 | Edition: 2

Question

Java’s type int has a limit on how large an integer it can store. This limit can be circumvented by representing an integer as an array of digits. Write an interactive program that adds two integers of up to 50 digits each.

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Answer

Program:


// ArrayOfDigits.java
import java.util.*;
public class ArrayOfDigits
{		
	private final static int MAX_DIGITS = 50;		
	private static Scanner input = new Scanner(System.in);
	
	public static void main(String[] args)
	{				
		int[] firstNumber = readNumber();
		int[] secondNumber = readNumber();
		
		int[] sumOfNumbers = 
					addNumbers(firstNumber, secondNumber);		
		
		System.out.print("\nNumber #1: ");
		printNumber(firstNumber);
		
		System.out.print("Number #2: ");
		printNumber(secondNumber);
		
		System.out.print("Sum of numbers: ");
		printNumber(sumOfNumbers);
	}

	public static int[] readNumber()
	{				
		System.out.print(
			"\nEnter the number of digits in the number: ");
		int size = input.nextInt();
		
		while(size <= 0 || size > MAX_DIGITS)
		{
			System.out.print(
					"Enter the number of digits (1-50): ");
			size = input.nextInt();
		}
		
		int[] number = new int[size];
		
		for(int i = size; i >= 1; i--)
		{
			System.out.print("Enter digit #" + i + ": ");
			number[i - 1] = input.nextInt();
		}
		
		return number;
	}

	public static int[] addNumbers(
				int[] firstNumber, int[] secondNumber)
	{
		int size = firstNumber.length;
		
		if(secondNumber.length > size)
			size = secondNumber.length;
		
		int[] sum = new int[size + 1];
		
		int i = 0;
		int j = 0;
		int k = 0;
		int carry = 0;
		int temp = 0;
		
		while(i < firstNumber.length && j < secondNumber.length)
		{
			temp = firstNumber[i] + secondNumber[j] + carry;
			
			if(temp < 10)
			{
				sum[k] = temp;
				carry = 0;
			}
			else
			{
				sum[k] = temp % 10;
				carry = temp / 10;
			}
			
			i++;
			j++;
			k++;
		}
		
		while(i < firstNumber.length)
		{
			temp = firstNumber[i] + carry;
			
			if(temp < 10)
			{
				sum[k] = temp;
				carry = 0;
			}
			else
			{
				sum[k] = temp % 10;
				carry = temp / 10;
			}
			
			i++;
			k++;
		}
		
		while(j < secondNumber.length)
		{
			temp = secondNumber[j] + carry;
			
			if(temp < 10)
			{
				sum[k] = temp;
				carry = 0;
			}
			else
			{
				sum[k] = temp % 10;
				carry = temp / 10;
			}
			
			j++;
			k++;
		}
		
		sum[k] = carry;
		
		return sum;
	}
	
	public static void printNumber(int[] number)
	{
		if(number[number.length - 1] != 0)
			System.out.print(number[number.length - 1]);
		
		for(int i = number.length - 2; i >= 0; i--)
		{
			System.out.print(number[i]);
		}		
		
		System.out.println();
	}
}

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