using System;

using System.Collections.Generic;

using System.Text;

​

namespace MultiplyFloat

{

    class Program

    {

        static void Main(string[] args)

        {

            String input = Console.ReadLine();

            String input2 = Console.ReadLine();

​

            Console.WriteLine("result: " + MultiplyFloat((float)Convert.ToDouble(input), (float)Convert.ToDouble(input2)));

        }

​

        static string Add(string num1, string num2)

        {

            int i = num1.Length - 1;

            int j = num2.Length - 1;

​

            int carry = 0;

            int sum = 0;

            string result = "";

​

            while (i >= 0 || j >= 0 || carry == 1)

            {

                sum = carry;

​

                if (i >= 0)

                {

                    sum = sum + Convert.ToInt32(num1[i] + "");

                }

                if (j >= 0)

                {

                    sum = sum + Convert.ToInt32(num2[j] + " ");

                }

​

                carry = sum / 2;

                sum = sum % 2;

​

                result = sum + result;

                i--; j--;

            }

​

            return result;

        }

​

        static float MultiplyFloat(float num1, float num2)

        {

            string binaryNum1 = GetNumbers(num1);

            string binaryNum2 = GetNumbers(num2);

​

            Console.WriteLine("Binary Num1: " + binaryNum1);

            Console.WriteLine("Binary Num2: " + binaryNum2);

​

​

            string op1 = binaryNum1.Replace(".", "");

            string op2 = binaryNum2.Replace(".", "");

​

​

            IList<string> list = new List<string>();

​

​

​

            for (int i = op1.Length - 1; i >= 0; i--)

            {

                string sum = "";

                int num = Convert.ToInt32(op1[i] + "");

​

                for (int j = op1.Length - 1; j > i; j--)

                {

                    sum = sum + "0";

                }

​

                for (int j = op2.Length - 1; j >= 0; j--)

                {

                    sum = Convert.ToInt32(op2[j] + "") * num + sum;

                }

​

                list.Add(sum);

            }

​

            string result = list[0];

​

            for (int i = 1; i < list.Count; i++)

            {

                result = Add(result, list[i]);

            }

​

            int pointIndex = (binaryNum1.Length - binaryNum1.IndexOf('.')) + (binaryNum2.Length - binaryNum2.IndexOf('.')) - 2;

            //result = result.Insert(result.Length - pointIndex, ".");

​

            Console.WriteLine("Binary result: " + result);

​

​

            return GetFloat(result);

        }

​

        static float GetFloat(string binary)

        {

            string[] arr = binary.Split('.');

​

            int beforeDecimal = 0;

            float afterDecimal = 0;

            int count = 0;

​

            for (int i = arr[0].Length - 1; i >= 0; i--)

            {

                beforeDecimal = beforeDecimal + Convert.ToInt32(arr[0][i] + "") * (int)Math.Pow(2, count);

                count++;

            }

​

            count = -1;

​

            for (int i = 0; i < arr[1].Length; i++)

            {

                afterDecimal = afterDecimal + Convert.ToInt32(arr[1][i] + "") * (float)Math.Pow(2, count);

                count--;

​

            }

​

            return beforeDecimal + afterDecimal;

        }

​

        static string GetNumbers(float number)

        {

            StringBuilder result = new StringBuilder();

​

            int beforeDecimal = (int)number;

            float afterDecimal = number - beforeDecimal;

​

            while (beforeDecimal != 0)

            {

                result.Insert(0, beforeDecimal % 2);

                beforeDecimal /= 2;

            }

​

            result.Append(".");

​

            while (afterDecimal != 0)

            {

                afterDecimal *= 2;

                if (afterDecimal >= 1)

                {

                    result.Append("1");

                    afterDecimal = afterDecimal - 1;

                }

                else

                {

                    result.Append("0");

                }

            }

​

            return result.ToString();

​

        }

    }

}