Java Program to multiply two binary numbers using ParseInt

Program

import java.util.Scanner;
public class MultiplyTwoBinaryNumbersUsingParseInt {
    public void multiplyBinaryNumbers(String binaryNum1, String binaryNum2)
    {
        int num1 = Integer.parseInt(binaryNum1, 2);
        int num2 = Integer.parseInt(binaryNum2, 2);
        int product = num1 * num2;
        System.out.println(Integer.toBinaryString(product));
    }
    public static void main(String[] args)
    {
        MultiplyTwoBinaryNumbersUsingParseInt multiplyTwoBinaryNumbersUsingParseInt= new MultiplyTwoBinaryNumbersUsingParseInt();
        Scanner reader = new Scanner(System.in);
        System.out.print("Enter the first binary number: ");
        String binaryNum1 = reader.nextLine();
        System.out.print("Enter the second binary number: ");
        String binaryNum2 = reader.nextLine();
        System.out.print("Product of two numbers is: ");
        multiplyTwoBinaryNumbersUsingParseInt.multiplyBinaryNumbers(binaryNum1, binaryNum2);
    }
}

This Java program multiplies two binary numbers by converting them to decimal, performing multiplication, and then converting the result back to binary.

Use Case:

This program is well-suited for tasks requiring binary multiplication with minimal effort, as it handles the conversions and arithmetic internally using Java's built-in methods.

1. Input:

   • The program uses the Scanner class to take two binary numbers as input from the user in the form of strings.

2. Conversion to Decimal:

   • Integer.parseInt(binaryNum, 2):
     • Converts the binary input strings to their equivalent decimal integers.
     • The 2 indicates that the input string is in binary format.

3. Multiplication:

   • The two decimal numbers obtained from the conversion are multiplied.

4. Conversion Back to Binary:

   • Integer.toBinaryString(product):
     • Converts the product (a decimal number) back to its binary string representation.

5. Output:

   • The program prints the binary representation of the product.

6. Example Execution:

   • Example:

     Enter the first binary number: 101
     Enter the second binary number: 11
     Product of two numbers is: 1111
     

   • Steps:
     • Convert 101 (binary) to 5 (decimal).
     • Convert 11 (binary) to 3 (decimal).
     • Multiply: 5 * 3 = 15 (decimal).
     • Convert 15 (decimal) to 1111 (binary).

Key Features:

• Efficiency:
  • Uses built-in methods (Integer.parseInt and Integer.toBinaryString) to handle binary-decimal conversions efficiently.
• Direct Approach:
  • Directly multiplies the two numbers after converting them to decimal, avoiding manual binary multiplication.
• Simplicity:
  • Reduces the complexity of binary multiplication by leveraging decimal arithmetic.

Output 1

$ javac MultiplyTwoBinaryNumbersUsingParseInt.java
$ java MultiplyTwoBinaryNumbersUsingParseInt
Enter the first binary number: 1101
Enter the second binary number: 111
Product of two numbers is: 1011011

Output 2

$ java MultiplyTwoBinaryNumbersUsingParseInt
Enter the first binary number: 1100
Enter the second binary number: 0
Product of two numbers is: 0