Convert the fractional whole number to binary

Example 1 
----------
num = 12.55

12 = 1100 (Binary of whole number)


0.10000000000000142 X 2 = 0.20000000000000284  0
0.20000000000000284 X 2 = 0.4000000000000057  0
0.4000000000000057 X 2 = 0.8000000000000114  0
0.8000000000000114 X 2 = 1.6000000000000227  1
0.6000000000000227 X 2 = 1.2000000000000455  1
0.20000000000004547 X 2 = 0.40000000000009095  0
0.40000000000009095 X 2 = 0.8000000000001819  0
0.8000000000001819 X 2 = 1.6000000000003638  1
0.6000000000003638 X 2 = 1.2000000000007276  1
0.2000000000007276 X 2 = 0.4000000000014552  0
0.4000000000014552 X 2 = 0.8000000000029104  0
0.8000000000029104 X 2 = 1.6000000000058208  1
0.6000000000058208 X 2 = 1.2000000000116415  1
0.20000000001164153 X 2 = 0.40000000002328306  0
0.40000000002328306 X 2 = 0.8000000000465661  0
0.8000000000465661 X 2 = 1.6000000000931323  1
0.6000000000931323 X 2 = 1.2000000001862645  1
0.20000000018626451 X 2 = 0.40000000037252903  0
0.40000000037252903 X 2 = 0.8000000007450581  0
0.8000000007450581 X 2 = 1.6000000014901161  1
0.6000000014901161 X 2 = 1.2000000029802322  1
0.20000000298023224 X 2 = 0.4000000059604645  0
0.4000000059604645 X 2 = 0.800000011920929  0
0.800000011920929 X 2 = 1.600000023841858  1
0.6000000238418579 X 2 = 1.2000000476837158  1
0.20000004768371582 X 2 = 0.40000009536743164  0
0.40000009536743164 X 2 = 0.8000001907348633  0
0.8000001907348633 X 2 = 1.6000003814697266  1
0.6000003814697266 X 2 = 1.2000007629394531  1
0.20000076293945312 X 2 = 0.40000152587890625  0
0.40000152587890625 X 2 = 0.8000030517578125  0
0.8000030517578125 X 2 = 1.600006103515625  1
0.600006103515625 X 2 = 1.20001220703125  1
0.20001220703125 X 2 = 0.4000244140625  0
0.4000244140625 X 2 = 0.800048828125  0
0.800048828125 X 2 = 1.60009765625  1
0.60009765625 X 2 = 1.2001953125  1
0.2001953125 X 2 = 0.400390625  0
0.400390625 X 2 = 0.80078125  0
0.80078125 X 2 = 1.6015625  1
0.6015625 X 2 = 1.203125  1
0.203125 X 2 = 0.40625  0
0.40625 X 2 = 0.8125  0
0.8125 X 2 = 1.625  1
0.625 X 2 = 1.25  1
0.25 X 2 = 0.5  0
0.5 X 2 = 1.0  1 

// Result
1100.100011001100110011001100110011001100110011001101
or (fractional of 16 bit)
1100.10001100110011001
 
Example 2
-----------
num = 99.14	


99 = 1100011 (Binary of whole number)

Calculate fractional

 
 0.14 X 2 = 0.28  0
 0.28 X 2 = 0.56  0
 0.56 X 2 = 1.12  1
 0.1200000000000001 X 2 = 0.2400000000000002  0
 0.2400000000000002 X 2 = 0.4800000000000004  0
 0.4800000000000004 X 2 = 0.9600000000000009  0
 0.9600000000000009 X 2 = 1.9200000000000017  1
 0.9200000000000017 X 2 = 1.8400000000000034  1
 0.8400000000000034 X 2 = 1.6800000000000068  1
 0.6800000000000068 X 2 = 1.3600000000000136  1
 0.36000000000001364 X 2 = 0.7200000000000273  0
 0.7200000000000273 X 2 = 1.4400000000000546  1
 0.44000000000005457 X 2 = 0.8800000000001091  0
 0.8800000000001091 X 2 = 1.7600000000002183  1
 0.7600000000002183 X 2 = 1.5200000000004366  1
 0.5200000000004366 X 2 = 1.0400000000008731  1
 0.040000000000873115 X 2 = 0.08000000000174623  0
 0.08000000000174623 X 2 = 0.16000000000349246  0
 0.16000000000349246 X 2 = 0.3200000000069849  0
 0.3200000000069849 X 2 = 0.6400000000139698  0
 0.6400000000139698 X 2 = 1.2800000000279397  1
 0.2800000000279397 X 2 = 0.5600000000558794  0
 0.5600000000558794 X 2 = 1.1200000001117587  1
 0.12000000011175871 X 2 = 0.24000000022351742  0
 0.24000000022351742 X 2 = 0.48000000044703484  0
 0.48000000044703484 X 2 = 0.9600000008940697  0
 0.9600000008940697 X 2 = 1.9200000017881393  1
 0.9200000017881393 X 2 = 1.8400000035762787  1
 0.8400000035762787 X 2 = 1.6800000071525574  1
 0.6800000071525574 X 2 = 1.3600000143051147  1
 0.36000001430511475 X 2 = 0.7200000286102295  0
 0.7200000286102295 X 2 = 1.440000057220459  1
 0.440000057220459 X 2 = 0.880000114440918  0
 0.880000114440918 X 2 = 1.760000228881836  1
 0.7600002288818359 X 2 = 1.5200004577636719  1
 0.5200004577636719 X 2 = 1.0400009155273438  1
 0.04000091552734375 X 2 = 0.0800018310546875  0
 0.0800018310546875 X 2 = 0.160003662109375  0
 0.160003662109375 X 2 = 0.32000732421875  0
 0.32000732421875 X 2 = 0.6400146484375  0
 0.6400146484375 X 2 = 1.280029296875  1
 0.280029296875 X 2 = 0.56005859375  0
 0.56005859375 X 2 = 1.1201171875  1
 0.1201171875 X 2 = 0.240234375  0
 0.240234375 X 2 = 0.48046875  0
 0.48046875 X 2 = 0.9609375  0
 0.9609375 X 2 = 1.921875  1
 0.921875 X 2 = 1.84375  1
 0.84375 X 2 = 1.6875  1
 0.6875 X 2 = 1.375  1
 0.375 X 2 = 0.75  0
 0.75 X 2 = 1.5  1
 0.5 X 2 = 1.0  1
 Given Number : 99.14
 Result .00100011110101110000101000111101011100001010001111011
 or 16 bits
 1100011.0010001111010111

Here given code implementation process.

// Java Program 
// Convert the fractional whole number to binary
public class Conversion
{
	public void binaryNo(double num)
	{
		if (num < 0)
		{
			return;
		}
		// Get whole number
		int whole = (int) num;
		// Get approximate fraction part
		double fractional = (num - whole);
		String result = "";
		// Find binary of whole number
		while (whole > 0)
		{
			result = (whole % 2) + result;
			whole /= 2;
		}
		result += ".";
		int bit = 0;
		// Find binary of fractional number
		// Consider it up to 16 digit
		while (fractional > 0 && bit < 16)
		{
			fractional *= 2;
			if ((int) fractional == 1)
			{
				fractional = fractional - 1;
				result += "1";
			}
			else
			{
				result += "0";
			}
			// increase counter of a fraction bits
			bit += 1;
		}
		System.out.print("\n Given Number : " + num);
		// Display calculated result
		System.out.print("\n Result " + result);
	}
	public static void main(String[] args)
	{
		Conversion task = new Conversion();
		// Test Case
		task.binaryNo(12.55);
		task.binaryNo(99.14);
	}
}

Output

 Given Number : 12.55
 Result 1100.1000110011001100
 Given Number : 99.14
 Result 1100011.0010001111010111
// Include header file
#include <iostream>
#include <string>
using namespace std;
// C++ Program
// Convert the fractional whole number to binary
class Conversion
{
	public: void binaryNo(double num)
	{
		if (num < 0)
		{
			return;
		}
		// Get whole number
		int whole = (int) num;
		// Get approximate fraction part
		double fractional = (num - whole);
		string result = "";
		// Find binary of whole number
		while (whole > 0)
		{
			result = to_string(whole % 2) + result;
			whole /= 2;
		}
		result += ".";
		int bit = 0;
		// Find binary of fractional number
		// Consider it up to 16 digit
		while (fractional > 0 && bit < 16)
		{
			fractional *= 2;
			if ((int) fractional == 1)
			{
				fractional = fractional - 1;
				result += "1";
			}
			else
			{
				result += "0";
			}
			// increase counter of a fraction bits
			bit += 1;
		}
		cout << "\n Given Number : " << num;
		// Display calculated result
		cout << "\n Result " << result;
	}
};
int main()
{
	Conversion task = Conversion();
	// Test Case
	task.binaryNo(12.55);
	task.binaryNo(99.14);
	return 0;
}

Output

 Given Number : 12.55
 Result 1100.1000110011001100
 Given Number : 99.14
 Result 1100011.0010001111010111
// Include namespace system
using System;
// C# Program
// Convert the fractional whole number to binary
public class Conversion
{
	public void binaryNo(double num)
	{
		if (num < 0)
		{
			return;
		}
		// Get whole number
		int whole = (int) num;
		// Get approximate fraction part
		double fractional = (num - whole);
		String result = "";
		// Find binary of whole number
		while (whole > 0)
		{
			result = (whole % 2) + result;
			whole /= 2;
		}
		result += ".";
		int bit = 0;
		// Find binary of fractional number
		// Consider it up to 16 digit
		while (fractional > 0 && bit < 16)
		{
			fractional *= 2;
			if ((int) fractional == 1)
			{
				fractional = fractional - 1;
				result += "1";
			}
			else
			{
				result += "0";
			}
			// increase counter of a fraction bits
			bit += 1;
		}
		Console.Write("\n Given Number : " + num);
		// Display calculated result
		Console.Write("\n Result " + result);
	}
	public static void Main(String[] args)
	{
		Conversion task = new Conversion();
		// Test Case
		task.binaryNo(12.55);
		task.binaryNo(99.14);
	}
}

Output

 Given Number : 12.55
 Result 1100.1000110011001100
 Given Number : 99.14
 Result 1100011.0010001111010111
<?php
// Php Program
// Convert the fractional whole number to binary
class Conversion
{
	public	function binaryNo($num)
	{
		if ($num < 0)
		{
			return;
		}
		// Get whole number
		$whole = (int) $num;
		// Get approximate fraction part
		$fractional = ($num - $whole);
		$result = "";
		// Find binary of whole number
		while ($whole > 0)
		{
			$result = ($whole % 2) . $result;
			$whole = intval($whole / 2);
		}
		$result .= ".";
		$bit = 0;
		// Find binary of fractional number
		// Consider it up to 16 digit
		while ($fractional > 0 && $bit < 16)
		{
			$fractional *= 2;
			if ((int) $fractional == 1)
			{
				$fractional = $fractional - 1;
				$result .= "1";
			}
			else
			{
				$result .= "0";
			}
			// increase counter of a fraction bits
			$bit += 1;
		}
		echo "\n Given Number : ". $num;
		// Display calculated result
		echo "\n Result ". $result;
	}
}

function main()
{
	$task = new Conversion();
	$task->binaryNo(12.55);
	$task->binaryNo(99.14);
}
main();

Output

 Given Number : 12.55
 Result 1100.1000110011001100
 Given Number : 99.14
 Result 1100011.0010001111010111
// Node Js Program
// Convert the fractional whole number to binary
class Conversion
{
	binaryNo(num)
	{
		if (num < 0)
		{
			return;
		}
		// Get whole number
		var whole = parseInt(num);
		// Get approximate fraction part
		var fractional = (num - whole);
		var result = "";
		// Find binary of whole number
		while (whole > 0)
		{
			result = (whole % 2) + result;
			whole = parseInt(whole / 2);
		}
		result += ".";
		var bit = 0;
		// Find binary of fractional number
		// Consider it up to 16 digit
		while (fractional > 0 && bit < 16)
		{
			fractional *= 2;
			if (parseInt(fractional) == 1)
			{
				fractional = fractional - 1;
				result += "1";
			}
			else
			{
				result += "0";
			}
			// increase counter of a fraction bits
			bit += 1;
		}
		process.stdout.write("\n Given Number : " + num);
		// Display calculated result
		process.stdout.write("\n Result " + result);
	}
}

function main()
{
	var task = new Conversion();
	// Test Case
	task.binaryNo(12.55);
	task.binaryNo(99.14);
}
main();

Output

 Given Number : 12.55
 Result 1100.1000110011001100
 Given Number : 99.14
 Result 1100011.0010001111010111
#  Python 3 Program 
#  Convert the fractional whole number to binary
class Conversion :
	def binaryNo(self, num) :
		if (num < 0) :
			return
		
		#  Get whole number
		whole = int(num)
		#  Get approximate fraction part
		fractional = (num - whole)
		result = ""
		#  Find binary of whole number
		while (whole > 0) :
			result = str(whole % 2) + result
			whole = int(whole / 2)
		
		result += "."
		bit = 0
		#  Find binary of fractional number
		#  Consider it up to 16 digit
		while (fractional > 0 and bit < 16) :
			fractional *= 2
			if (int(fractional) == 1) :
				fractional = fractional - 1
				result += "1"
			else :
				result += "0"
			
			#  increase counter of a fraction bits
			bit += 1
		
		print("\n Given Number : ", num, end = "")
		#  Display calculated result
		print("\n Result ", result, end = "")
	

def main() :
	task = Conversion()
	#  Test Case
	task.binaryNo(12.55)
	task.binaryNo(99.14)

if __name__ == "__main__": main()

Output

 Given Number :  12.55
 Result  1100.1000110011001100
 Given Number :  99.14
 Result  1100011.0010001111010111
#  Ruby Program 
#  Convert the fractional whole number to binary
class Conversion 
	def binaryNo(num) 
		if (num < 0) 
			return
		end

		#  Get whole number
		whole = (num).to_i
		#  Get approximate fraction part
		fractional = (num - whole)
		result = ""
		#  Find binary of whole number
		while (whole > 0) 
			result = (whole % 2).to_s + result
			whole /= 2
		end

		result += "."
		bit = 0
		#  Find binary of fractional number
		#  Consider it up to 16 digit
		while (fractional > 0 && bit < 16) 
			fractional *= 2
			if ((fractional).to_i == 1) 
				fractional = fractional - 1
				result += "1"
			else 
				result += "0"
			end

			#  increase counter of a fraction bits
			bit += 1
		end

		print("\n Given Number : ", num)
		#  Display calculated result
		print("\n Result ", result)
	end

end

def main() 
	task = Conversion.new()
	#  Test Case
	task.binaryNo(12.55)
	task.binaryNo(99.14)
end

main()

Output

 Given Number : 12.55
 Result 1100.1000110011001100
 Given Number : 99.14
 Result 1100011.0010001111010111
// Scala Program
// Convert the fractional whole number to binary
class Conversion
{
	def binaryNo(num: Double): Unit = {
		if (num < 0)
		{
			return;
		}
		// Get whole number
		var whole: Int = (num).toInt;
		// Get approximate fraction part
		var fractional: Double = (num - whole);
		var result: String = "";
		// Find binary of whole number
		while (whole > 0)
		{
			result = ""+(whole % 2) + result;
			whole = (whole / 2).toInt;
		}
		result += ".";
		var bit: Int = 0;
		// Find binary of fractional number
		// Consider it up to 16 digit
		while (fractional > 0 && bit < 16)
		{
			fractional *= 2;
			if ((fractional).toInt == 1)
			{
				fractional = fractional - 1;
				result += "1";
			}
			else
			{
				result += "0";
			}
			// increase counter of a fraction bits
			bit += 1;
		}
		print("\n Given Number : " + num);
		// Display calculated result
		print("\n Result " + result);
	}
}
object Main
{
	def main(args: Array[String]): Unit = {
		var task: Conversion = new Conversion();
		// Test Case
		task.binaryNo(12.55);
		task.binaryNo(99.14);
	}
}

Output

 Given Number : 12.55
 Result 1100.1000110011001100
 Given Number : 99.14
 Result 1100011.0010001111010111
// Swift 4 Program
// Convert the fractional whole number to binary
class Conversion
{
	func binaryNo(_ num: Double)
	{
		if (num < 0)
		{
			return;
		}
		// Get whole number
		var whole: Int = Int(num);
		// Get approximate fraction part
		var fractional: Double = (num - Double(whole));
		var result: String = "";
		// Find binary of whole number
		while (whole > 0)
		{
			result = String(whole % 2) + result;
			whole /= 2;
		}
		result += ".";
		var bit: Int = 0;
		// Find binary of fractional number
		// Consider it up to 16 digit
		while (fractional > 0 && bit < 16)
		{
			fractional *= 2;
			if (Int(fractional) == 1)
			{
				fractional = fractional - 1;
				result += "1";
			}
			else
			{
				result += "0";
			}
			// increase counter of a fraction bits
			bit += 1;
		}
		print("\n Given Number : ", num, terminator: "");
		// Display calculated result
		print("\n Result ", result, terminator: "");
	}
}
func main()
{
	let task: Conversion = Conversion();
	// Test Case
	task.binaryNo(12.55);
	task.binaryNo(99.14);
}
main();

Output

 Given Number :  12.55
 Result  1100.1000110011001100
 Given Number :  99.14
 Result  1100011.0010001111010111
// Kotlin Program
// Convert the fractional whole number to binary
class Conversion
{
	fun binaryNo(num: Double): Unit
	{
		if (num < 0)
		{
			return;
		}
		// Get whole number
		var whole: Int = num.toInt();
		// Get approximate fraction part
		var fractional: Double = (num - whole.toDouble());
		var result: String = "";
		// Find binary of whole number
		while (whole > 0)
		{
			result = (whole % 2).toString() + result;
			whole /= 2;
		}
		result += ".";
		var bit: Int = 0;
		// Find binary of fractional number
		// Consider it up to 16 digit
		while (fractional > 0 && bit < 16)
		{
			fractional *= 2;
			if (fractional.toInt() == 1)
			{
				fractional = fractional - 1;
				result += "1";
			}
			else
			{
				result += "0";
			}
			// increase counter of a fraction bits
			bit += 1;
		}
		print("\n Given Number : " + num);
		// Display calculated result
		print("\n Result " + result);
	}
}
fun main(args: Array < String > ): Unit
{
	var task: Conversion = Conversion();
	// Test Case
	task.binaryNo(12.55);
	task.binaryNo(99.14);
}

Output

 Given Number : 12.55
 Result 1100.1000110011001100
 Given Number : 99.14
 Result 1100011.0010001111010111


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