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Convert Binary to Hexadecimal number

Binary and hexadecimal are two different number systems used to represent numbers in computing. Binary is a base-2 number system that uses only two digits, 0 and 1, to represent numbers. Hexadecimal is a base-16 number system that uses 16 digits, from 0 to 9 and A to F, to represent numbers.

To convert a binary number to a hexadecimal number, we can group the binary digits into sets of four, starting from the rightmost digit. If the number of digits is not a multiple of four, we can add leading zeros to make it so. Then, we can convert each set of four binary digits to a single hexadecimal digit using the following table:

BinaryHexadecimal
00000
00011
00102
00113
01004
01015
01106
01117
10008
10019
1010A
1011B
1100C
1101D
1110E
1111F

We can then write the hexadecimal digits in order, starting from the leftmost digit, to get the hexadecimal representation of the binary number.

For example, to convert the binary number 11011011 to hexadecimal, we can group the binary digits into sets of four: 1101 1011. Then we can convert each set of four binary digits to a single hexadecimal digit: D B. Therefore, the hexadecimal representation of the binary number 11011011 is DB.

Program Solution

//C Program
//Convert Binary to Hexadecimal number
#include <stdio.h>

//Reverse the given character array by given indexes
void reverse(char str[], int start, int end)
{
	char temp;
	for (start; start < end; start++, end--)
	{
		temp = str[start];
		str[start] = str[end];
		str[end] = temp;
	}
}
//Convert decimal to hexadecimal
void decimal_hexadecimal(int number, char result[])
{
	int digit = 0;
	int index = 0;
	while (number != 0)
	{
		digit = number % 16;
		if (digit < 0)
		{
			digit = -digit;
		}
		if (digit < 10)
		{
			//48 ASCII of '0'
			result[index] = digit + 48;
		}
		else if (digit > 10)
		{
			//55 ASCII of '7'
			result[index] = digit + 55;
		}
		index++;
		number /= 16;
	}
	if (index >= 1)
	{
		//add null char
		result[index] = '\0';
		reverse(result, 0, index - 1);
	}
}
void binary_to_hexadecimal(long long number)
{
	int result = 0, counter = 0;
	int flag = 0;
	if (number < 0)
	{
		flag = 1;
	}
	printf("Binary : %lld ", number);
	//Convert binary to decimal
	while (number != 0)
	{
		if ((number & 1) == 0b1)
		{
			result += (1 << (counter));
		}
		counter++;
		number /= 10;
	}
	//Store hexa decimal values
	//Assume that result is under 15 characters
	char output[15];
	//Convert decimal to hexa decimal
	decimal_hexadecimal(result, output);
	if (flag == 0)
	{
		printf(" Hexadecimal : %s \n", output);
	}
	else
	{
		printf(" Hexadecimal : -%s \n", output);
	}
}
int main()
{
	//Test Case
	//Pass a decimal number which is contain binary values
	binary_to_hexadecimal(1111);
	binary_to_hexadecimal(10111);
	binary_to_hexadecimal(101011);
	binary_to_hexadecimal(11011);
	binary_to_hexadecimal(-1000110);
	return 0;
}

Output

Binary : 1111  Hexadecimal : F
Binary : 10111  Hexadecimal : 17
Binary : 101011  Hexadecimal : 2B
Binary : 11011  Hexadecimal : 1B
Binary : -1000110  Hexadecimal : -46
/*
  C++ Program
  Convert Binary to Hexadecimal number
*/
#include<iostream>

using namespace std;
class MyNumber
{
	public:
		//Convert decimal to hexadecimal
		string decimal_hexadecimal(int number)
		{
			string result = "";
			int digit = 0;
			int index = 0;
			while (number != 0)
			{
				digit = number % 16;
				if (digit < 0)
				{
					digit = -digit;
				}
				if (digit < 10)
				{
					//48 ASCII of '0'
					result = (char)(digit + 48) + result;
				}
				else if (digit > 10)
				{
					//55 ASCII of '7'
					result = (char)(digit + 55) + result;
				}
				index++;
				number /= 16;
			}
			return result;
		}
	void binary_to_hexadecimal(long number)
	{
		int result = 0, counter = 0;
		cout << "Binary : " << number;
		bool flag = false;
		if (number < 0)
		{
			flag = true;
		}
		//Convert binary to decimal
		while (number != 0)
		{
			if ((number & 1) == 0b1)
			{
				result += (1 << (counter));
			}
			counter++;
			number /= 10;
		}
		//Convert decimal to hexa decimal
		string output = this->decimal_hexadecimal(result);
		if (flag == true)
		{
			//When negative element exist
			output = "-" + output;
		}
		cout << " Hexadecimal : " << output << " \n";
	}
};
int main()
{
	MyNumber obj =  MyNumber();
	//Test Cases
	//Pass a decimal number which is contain binary values
	obj.binary_to_hexadecimal(1111);
	obj.binary_to_hexadecimal(10111);
	obj.binary_to_hexadecimal(101011);
	obj.binary_to_hexadecimal(11011);
	obj.binary_to_hexadecimal(-1000110);
	return 0;
}

Output

Binary : 1111 Hexadecimal : F
Binary : 10111 Hexadecimal : 17
Binary : 101011 Hexadecimal : 2B
Binary : 11011 Hexadecimal : 1B
Binary : -1000110 Hexadecimal : -46
/*
  Java Program
  Convert Binary to Hexadecimal number
*/
public class MyNumber
{
 
  //Convert decimal to hexadecimal
  public String decimal_hexadecimal(int number)
  {
 
    String result="";

    int digit = 0;
    int index = 0;

    while (number != 0)
    {
      digit = number % 16;
      if (digit < 0)
      {
        digit = -digit;
      }
      if (digit < 10)
      {
        //48 ASCII of '0'
        result =(char)(digit + 48) + result;
      }
      else if (digit > 10)
      {
        //55 ASCII of '7'
        result =(char)(digit + 55) + result;
      }
      index++;
      number /= 16;
    }
 
    
    return result;
  }
  public void binary_to_hexadecimal(long number)
  {
    int result = 0, counter = 0;

    System.out.print("Binary :  "+ number);

    boolean flag = false;
    if(number<0)
    {
      flag=true;
    }

    //Convert binary to decimal
    while (number != 0)
    {
      if ((number & 1) == 0b1)
      {
        result += (1 << (counter));
      }
      counter++;
      number /= 10;
    }
  
    //Convert decimal to hexa decimal
    String output=decimal_hexadecimal(result);

    if(flag==true)
    {
      //When negative element exist
      output="-"+output;
    }
    System.out.print(" Hexadecimal : "+output+" \n" );
  }
  public static void main(String[] args)
  {
    MyNumber obj = new MyNumber();
    //Test Cases
    //Pass a decimal number which is contain binary values
    obj.binary_to_hexadecimal(1111);
    obj.binary_to_hexadecimal(10111);
    obj.binary_to_hexadecimal(101011);
    obj.binary_to_hexadecimal(11011);
    obj.binary_to_hexadecimal(-1000110);
  }
}

Output

Binary : 1111 Hexadecimal : F
Binary : 10111 Hexadecimal : 17
Binary : 101011 Hexadecimal : 2B
Binary : 11011 Hexadecimal : 1B
Binary : -1000110 Hexadecimal : -46
/*
  C# Program
  Convert Binary to Hexadecimal number
*/
using System;
public class MyNumber
{
	//Convert decimal to hexadecimal
	public String decimal_hexadecimal(int number)
	{
		String result = "";
		int digit = 0;
		int index = 0;
		while (number != 0)
		{
			digit = number % 16;
			if (digit < 0)
			{
				digit = -digit;
			}
			if (digit < 10)
			{
				//48 ASCII of '0'
				result = (char)(digit + 48) + result;
			}
			else if (digit > 10)
			{
				//55 ASCII of '7'
				result = (char)(digit + 55) + result;
			}
			index++;
			number /= 16;
		}
		return result;
	}
	public void binary_to_hexadecimal(long number)
	{
		int result = 0, counter = 0;
		Console.Write("Binary : " + number);
		Boolean flag = false;
		if (number < 0)
		{
			flag = true;
		}
		//Convert binary to decimal
		while (number != 0)
		{
			if ((number & 1) == 0b1)
			{
				result += (1 << (counter));
			}
			counter++;
			number /= 10;
		}
		//Convert decimal to hexa decimal
		String output = decimal_hexadecimal(result);
		if (flag == true)
		{
			//When negative element exist
			output = "-" + output;
		}
		Console.Write(" Hexadecimal : " + output + " \n");
	}
	public static void Main(String[] args)
	{
		MyNumber obj = new MyNumber();
		//Test Cases
		//Pass a decimal number which is contain binary values
		obj.binary_to_hexadecimal(1111);
		obj.binary_to_hexadecimal(10111);
		obj.binary_to_hexadecimal(101011);
		obj.binary_to_hexadecimal(11011);
		obj.binary_to_hexadecimal(-1000110);
	}
}

Output

Binary : 1111 Hexadecimal : F
Binary : 10111 Hexadecimal : 17
Binary : 101011 Hexadecimal : 2B
Binary : 11011 Hexadecimal : 1B
Binary : -1000110 Hexadecimal : -46
<?php
/*
  Php Program
  Convert Binary to Hexadecimal number
*/
class MyNumber
{
	//Convert decimal to hexadecimal
	public 	function decimal_hexadecimal($number)
	{
		$result = "";
		$digit = 0;
		$index = 0;
		while ($number != 0)
		{
			$digit = $number % 16;
			if ($digit < 0)
			{
				$digit = -$digit;
			}
			if ($digit < 10)
			{
				//48 ASCII of '0'
				$result = chr(($digit + 48)) . $result;
			}
			else if ($digit > 10)
			{
				//55 ASCII of '7'
				$result = chr(($digit + 55)) . $result;
			}
			$index++;
			$number = intval($number / 16);
		}
		return $result;
	}
	public 	function binary_to_hexadecimal($number)
	{
		$result = 0;
		$counter = 0;
		echo("Binary : ". $number);
		$flag = false;
		if ($number < 0)
		{
			$flag = true;
		}
		//Convert binary to decimal
		while ($number != 0)
		{
			if (($number & 1) == 0b1)
			{
				$result += (1 << ($counter));
			}
			$counter++;
			$number = intval($number / 10);
		}
		//Convert decimal to hexa decimal
		$output = $this->decimal_hexadecimal($result);
		if ($flag == true)
		{
			//When negative element exist
			$output = "-". $output;
		}
		echo(" Hexadecimal : ". $output ." \n");
	}
}

function main()
{
	$obj = new MyNumber();
	//Test Cases
	//Pass a decimal number which is contain binary values
	$obj->binary_to_hexadecimal(1111);
	$obj->binary_to_hexadecimal(10111);
	$obj->binary_to_hexadecimal(101011);
	$obj->binary_to_hexadecimal(11011);
	$obj->binary_to_hexadecimal(-1000110);
}
main();

Output

Binary : 1111 Hexadecimal : F
Binary : 10111 Hexadecimal : 17
Binary : 101011 Hexadecimal : 2B
Binary : 11011 Hexadecimal : 1B
Binary : -1000110 Hexadecimal : -46
/*
  Node Js Program
  Convert Binary to Hexadecimal number
*/
class MyNumber
{
	//Convert decimal to hexadecimal
	decimal_hexadecimal(number)
	{
		var result = "";
		var digit = 0;
		var index = 0;
		while (number != 0)
		{
			digit = number % 16;
			if (digit < 0)
			{
				digit = -digit;
			}
			if (digit < 10)
			{
				//48 ASCII of '0'
				result = String.fromCharCode((digit + 48)) + result;
			}
			else
			if (digit > 10)
			{
				//55 ASCII of '7'
				result = String.fromCharCode((digit + 55)) + result;
			}
			index++;
			number = parseInt(number / 16);
		}
		return result;
	}
	binary_to_hexadecimal(number)
	{
		var result = 0;
		var counter = 0;
		process.stdout.write("Binary : " + number);
		var flag = false;
		if (number < 0)
		{
			flag = true;
		}
		//Convert binary to decimal
		while (number != 0)
		{
			if ((number & 1) == 0b1)
			{
				result += (1 << (counter));
			}
			counter++;
			number = parseInt(number / 10);
		}
		//Convert decimal to hexa decimal
		var output = this.decimal_hexadecimal(result);
		if (flag == true)
		{
			//When negative element exist
			output = "-" + output;
		}
		process.stdout.write(" Hexadecimal : " + output + " \n");
	}
}

function main(args)
{
	var obj = new MyNumber();
	//Test Cases
	//Pass a decimal number which is contain binary values
	obj.binary_to_hexadecimal(1111);
	obj.binary_to_hexadecimal(10111);
	obj.binary_to_hexadecimal(101011);
	obj.binary_to_hexadecimal(11011);
	obj.binary_to_hexadecimal(-1000110);
}
main();

Output

Binary : 1111 Hexadecimal : F
Binary : 10111 Hexadecimal : 17
Binary : 101011 Hexadecimal : 2B
Binary : 11011 Hexadecimal : 1B
Binary : -1000110 Hexadecimal : -46
#   Python 3 Program
#   Convert Binary to Hexadecimal number

class MyNumber :
	# Convert decimal to hexadecimal
	def decimal_hexadecimal(self, number) :
		result = ""
		digit = 0
		index = 0
		while (number != 0) :
			digit = number % 16
			if (digit < 0) :
				digit = -digit
			
			if (digit < 10) :
				# 48 ASCII of '0'
				result = chr((digit + 48)) + result
			elif (digit > 10) :
				# 55 ASCII of '7'
				result = chr((digit + 55)) + result
			
			index += 1
			number = int(number / 16)
		
		return result
	
	def binary_to_hexadecimal(self, number) :
		result = 0
		counter = 0
		print("Binary : ", number,end="")
		flag = False
		if (number < 0) :
			flag = True
		
		# Convert binary to decimal
		while (number != 0) :
			if ((number & 1) == 0b1) :
				result += (1 << (counter))
			
			counter += 1
			number = int(number / 10)
		
		# Convert decimal to hexa decimal
		output = self.decimal_hexadecimal(result)
		if (flag == True) :
			# When negative element exist
			output = "-"+ output
		
		print(" Hexadecimal : ", output ," \n")
	

def main() :
	obj = MyNumber()
	# Test Cases
	# Pass a decimal number which is contain binary values
	obj.binary_to_hexadecimal(1111)
	obj.binary_to_hexadecimal(10111)
	obj.binary_to_hexadecimal(101011)
	obj.binary_to_hexadecimal(11011)
	obj.binary_to_hexadecimal(-1000110)


if __name__ == "__main__": main()

Output

Binary :  1111 Hexadecimal :  F

Binary :  10111 Hexadecimal :  17

Binary :  101011 Hexadecimal :  2B

Binary :  11011 Hexadecimal :  1B

Binary :  -1000110 Hexadecimal :  -46

#   Ruby Program
#   Convert Binary to Hexadecimal number

class MyNumber

	# Convert decimal to hexadecimal
	def decimal_hexadecimal(number)
	
		result = ""
		digit = 0
		index = 0
		while (number != 0)
		
			digit = number % 16
			if (digit < 0)
			
				digit = -digit
			end
			if (digit < 10)
			
				# 48 ASCII of '0'
				result = ((digit + 48)).chr + result
			elsif (digit > 10)
			
				# 55 ASCII of '7'
				result = ((digit + 55)).chr + result
			end
			index += 1
			number /= 16
		end
		return result
	end
	def binary_to_hexadecimal(number)
	
		result = 0
		counter = 0
		print("Binary  :", number)
		flag = false
		if (number < 0)
			number=-number
			flag = true
		end
		# Convert binary to decimal
		while (number != 0)
		
			if ((number & 1) == 0b1)
			
				result += (1 << (counter))
			end
			counter += 1
			number /= 10
		end
		# Convert decimal to hexa decimal
		output = self.decimal_hexadecimal(result)
		if (flag == true)
		
			# When negative element exist
			output = "-"+ output
		end
		print(" Hexadecimal  :", output ," \n")
	end
end
def main()

	obj = MyNumber.new()
	# Test Cases
	# Pass a decimal number which is contain binary values
	obj.binary_to_hexadecimal(1111)
	obj.binary_to_hexadecimal(10111)
	obj.binary_to_hexadecimal(101011)
	obj.binary_to_hexadecimal(11011)
	obj.binary_to_hexadecimal(-1000110)
end
main()

Output

Binary  :1111 Hexadecimal  :F 
Binary  :10111 Hexadecimal  :17 
Binary  :101011 Hexadecimal  :2B 
Binary  :11011 Hexadecimal  :1B 
Binary  :-1000110 Hexadecimal  :-46 

/*
  Scala Program
  Convert Binary to Hexadecimal number
*/
class MyNumber
{
	//Convert decimal to hexadecimal
	def decimal_hexadecimal(num: Int): String = {
		var result: String = "";
		var digit: Int = 0;
		var index: Int = 0;
      	var number : Int = num;
		while (number != 0)
		{
			digit = number % 16;
			if (digit < 0)
			{
				digit = -digit;
			}
			if (digit < 10)
			{
				//48 ASCII of '0'
				result = ""+(digit + 48).toChar + (result);
			}
			else if (digit > 10)
			{
				//55 ASCII of '7'
				result = ""+(digit + 55).toChar + result;
			}
			index += 1;
			number = (number / 16).toInt;
		}
		return result;
	}
	def binary_to_hexadecimal(num: Int): Unit = {
		var result: Int = 0;
		var counter: Int = 0;
      	var number : Int = num;
		print("Binary : " + number);
		var flag: Boolean = false;
		if (number < 0)
		{
			flag = true;
		}
		//Convert binary to decimal
		while (number != 0)
		{
			if ((number & 1) == 1)
			{
				result += (1 << (counter));
			}
			counter += 1;
			number = (number / 10).toInt;
		}
		//Convert decimal to hexa decimal
		var output: String = decimal_hexadecimal(result);
		if (flag == true)
		{
			//When negative element exist
			output = "-" + output;
		}
		print(" Hexadecimal : " + output + " \n");
	}
}
object Main
{
	def main(args: Array[String]): Unit = {
		var obj: MyNumber = new MyNumber();
		//Test Cases
		//Pass a decimal number which is contain binary values
		obj.binary_to_hexadecimal(1111);
		obj.binary_to_hexadecimal(10111);
		obj.binary_to_hexadecimal(101011);
		obj.binary_to_hexadecimal(11011);
		obj.binary_to_hexadecimal(-1000110);
	}
}

Output

Binary : 1111 Hexadecimal : F
Binary : 10111 Hexadecimal : 17
Binary : 101011 Hexadecimal : 2B
Binary : 11011 Hexadecimal : 1B
Binary : -1000110 Hexadecimal : -46
/*
  Swift Program
  Convert Binary to Hexadecimal number
*/
class MyNumber
{
	//Convert decimal to hexadecimal
	func decimal_hexadecimal(_ num: Int) -> String
	{
		var result: String = "";
		var digit: Int = 0;
		var index: Int = 0;
      	var number: Int = num;
		while (number != 0)
		{
			digit = number % 16;
			if (digit < 0)
			{
				digit = -digit;
			}
			if (digit < 10)
			{
				//48 ASCII of "0"
				result = String(UnicodeScalar(UInt8(digit  + 48))) + result;
			}
			else
			if (digit > 10)
			{
				//55 ASCII of "7"
				result = String(UnicodeScalar(UInt8(digit  + 55))) + result;
			}
			index += 1;
			number /= 16;
		}
		return result;
	}
	func binary_to_hexadecimal(_ num:  Int)
	{
		var result: Int = 0;
		var counter: Int = 0;
        var number: Int = num
		print("Binary : ", number,terminator:"");
		var flag: Bool = false;
		if (number < 0)
		{
			flag = true;
		}
		//Convert binary to decimal
		while (number != 0)
		{
			if ((number & 1) == 0b1)
			{
				result += (1 << (counter));
			}
			counter += 1;
			number /= 10;
		}
		//Convert decimal to hexa decimal
		var output: String = self.decimal_hexadecimal(result);
		if (flag == true)
		{
			//When negative element exist
			output = "-" + output;
		}
		print(" Hexadecimal : ", output ," \n");
	}
}
func main()
{
	let obj: MyNumber = MyNumber();
	//Test Cases
	//Pass a decimal number which is contain binary values
	obj.binary_to_hexadecimal(1111);
	obj.binary_to_hexadecimal(10111);
	obj.binary_to_hexadecimal(101011);
	obj.binary_to_hexadecimal(11011);
	obj.binary_to_hexadecimal(-1000110);
}
main();

Output

Binary :  1111 Hexadecimal :  F

Binary :  10111 Hexadecimal :  17

Binary :  101011 Hexadecimal :  2B

Binary :  11011 Hexadecimal :  1B

Binary :  -1000110 Hexadecimal :  -46
Last updated on by Kalkicode




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