Posted on by Kalkicode
Code Conversion

Convert decimal to hexadecimal number

Decimal and hexadecimal are two number systems used to represent numeric values. The decimal system is a base-10 numbering system, which means it uses 10 digits (0-9) to represent numbers. The hexadecimal system is a base-16 numbering system, which means it uses 16 digits (0-9 and A-F) to represent numbers.

To convert a decimal number to a hexadecimal number, you need to follow these steps:

  1. Divide the decimal number by 16.
  2. Write down the quotient and remainder.
  3. Repeat steps 1 and 2 with the quotient until the quotient is 0.
  4. Write the remainders in reverse order to get the hexadecimal equivalent.

For example, let's convert the decimal number 305 to hexadecimal:

  1. Divide 305 by 16. The quotient is 19 with a remainder of 1.
  2. Write down the quotient (19) and remainder (1): [1 19] result is remainder 1.
  3. Divide 19 by 16. The quotient is 1 with a remainder of (3).[1,3] result is remainder 3.
  4. Divide 1 by 16. The quotient is 0 with a remainder of 1. [0,1] result is remainder 1.
  5. The hexadecimal equivalent is therefore 131.

So, the decimal number 305 is equivalent to the hexadecimal number 131.

Program Solution

//C Program
//Convert decimal to hexadecimal number
#include <stdio.h>

//Reverse the resultant of hexadecimal
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;
	}
}
void hexadecimal(int number, char result[])
{
	int flag = 0;
	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 decimal_to_hexa(int number)
{
	char output[32];
	int flag = 0;
	printf("Decimal : %d ", number);
	if (number < 0)
	{
		number = -number;
		flag = 1;
	}
	//Convert decimal to hexa decimal
	hexadecimal(number, output);
	if (flag == 0)
	{
		printf(" Hexadecimal : %s \n", output);
	}
	else
	{
		//When number is negative number
		printf(" Hexadecimal : -%s \n", output);
	}
}
int main()
{
	//Test Case
	decimal_to_hexa(16);
	decimal_to_hexa(-16);
	decimal_to_hexa(143);
	decimal_to_hexa(148);
	decimal_to_hexa(128);
	decimal_to_hexa(14);
	decimal_to_hexa(-17);
	return 0;
}
    

Output

Decimal : 16  Hexadecimal : 10
Decimal : -16  Hexadecimal : -10
Decimal : 143  Hexadecimal : 8F
Decimal : 148  Hexadecimal : 94
Decimal : 128  Hexadecimal : 80
Decimal : 14  Hexadecimal : E
Decimal : -17  Hexadecimal : -11
/*
  Java Program
  Convert decimal to hexadecimal number
*/
public class MyNumber
{
	//Convert decimal to hexadecimal
	public String hexa_decimal(long number)
	{
		String result = "";
		long 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 decimal_to_hexa(long number)
	{
		System.out.print("Decimal :  " + number);
		boolean flag = false;
		if (number < 0)
		{
			flag = true;
		}
		//Convert decimal to hexa decimal
		String output = hexa_decimal(number);
		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
		obj.decimal_to_hexa(16);
		obj.decimal_to_hexa(-16);
		obj.decimal_to_hexa(143);
		obj.decimal_to_hexa(148);
		obj.decimal_to_hexa(128);
		obj.decimal_to_hexa(14);
		obj.decimal_to_hexa(-17);
	}
}
    

Output

Decimal : 16  Hexadecimal : 10
Decimal : -16  Hexadecimal : -10
Decimal : 143  Hexadecimal : 8F
Decimal : 148  Hexadecimal : 94
Decimal : 128  Hexadecimal : 80
Decimal : 14  Hexadecimal : E
Decimal : -17  Hexadecimal : -11
/*
  C++ Program
  Convert decimal to hexadecimal number
*/
#include<iostream>

using namespace std;
class MyNumber
{
	public:
		//Convert decimal to hexadecimal
		string hexa_decimal(long number)
		{
			string result = "";
			long 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 decimal_to_hexa(long number)
	{
		cout << "Decimal : " << number;
		bool flag = false;
		if (number < 0)
		{
			flag = true;
		}
		//Convert decimal to hexa decimal
		string output = this->hexa_decimal(number);
		if (flag == true)
		{
			//When negative element exist
			output = "-" + output;
		}
		cout << " Hexadecimal : " << output << " \n";
	}
};
int main()
{
	MyNumber obj =  MyNumber();
	//Test Cases
	obj.decimal_to_hexa(16);
	obj.decimal_to_hexa(-16);
	obj.decimal_to_hexa(143);
	obj.decimal_to_hexa(148);
	obj.decimal_to_hexa(128);
	obj.decimal_to_hexa(14);
	obj.decimal_to_hexa(-17);
	return 0;
}
    

Output

Decimal : 16 Hexadecimal : 10
Decimal : -16 Hexadecimal : -10
Decimal : 143 Hexadecimal : 8F
Decimal : 148 Hexadecimal : 94
Decimal : 128 Hexadecimal : 80
Decimal : 14 Hexadecimal : E
Decimal : -17 Hexadecimal : -11
/*
  C# Program
  Convert decimal to hexadecimal number
*/
using System;
public class MyNumber
{
	//Convert decimal to hexadecimal
	public String hexa_decimal(long number)
	{
		String result = "";
		long 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 decimal_to_hexa(long number)
	{
		Console.Write("Decimal : " + number);
		Boolean flag = false;
		if (number < 0)
		{
			flag = true;
		}
		//Convert decimal to hexa decimal
		String output = hexa_decimal(number);
		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
		obj.decimal_to_hexa(16);
		obj.decimal_to_hexa(-16);
		obj.decimal_to_hexa(143);
		obj.decimal_to_hexa(148);
		obj.decimal_to_hexa(128);
		obj.decimal_to_hexa(14);
		obj.decimal_to_hexa(-17);
	}
}
    

Output

Decimal : 16 Hexadecimal : 10
Decimal : -16 Hexadecimal : -10
Decimal : 143 Hexadecimal : 8F
Decimal : 148 Hexadecimal : 94
Decimal : 128 Hexadecimal : 80
Decimal : 14 Hexadecimal : E
Decimal : -17 Hexadecimal : -11
<?php
/*
  Php Program
  Convert decimal to hexadecimal number
*/
class MyNumber
{
	//Convert decimal to hexadecimal
	public 	function hexa_decimal($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 $result;
	}
	public 	function decimal_to_hexa($number)
	{
		echo("Decimal : ". $number);
		$flag = false;
		if ($number < 0)
		{
			$flag = true;
		}
		//Convert decimal to hexa decimal
		$output = $this->hexa_decimal($number);
		if ($flag == true)
		{
			//When negative element exist
			$output = "-". $output;
		}
		echo(" Hexadecimal : ". $output ." \n");
	}
}

function main()
{
	$obj = new MyNumber();
	//Test Cases
	$obj->decimal_to_hexa(16);
	$obj->decimal_to_hexa(-16);
	$obj->decimal_to_hexa(143);
	$obj->decimal_to_hexa(148);
	$obj->decimal_to_hexa(128);
	$obj->decimal_to_hexa(14);
	$obj->decimal_to_hexa(-17);
}
main();
    

Output

Decimal : 16 Hexadecimal : 10
Decimal : -16 Hexadecimal : -10
Decimal : 143 Hexadecimal : 8F
Decimal : 148 Hexadecimal : 94
Decimal : 128 Hexadecimal : 80
Decimal : 14 Hexadecimal : E
Decimal : -17 Hexadecimal : -11
/*
  Node Js Program
  Convert decimal to hexadecimal number
*/
class MyNumber
{
	//Convert decimal to hexadecimal
	hexa_decimal(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;
	}
	decimal_to_hexa(number)
	{
		process.stdout.write("Decimal : " + number);
		var flag = false;
		if (number < 0)
		{
			flag = true;
		}
		//Convert decimal to hexa decimal
		var output = this.hexa_decimal(number);
		if (flag == true)
		{
			//When negative element exist
			output = "-" + output;
		}
		process.stdout.write(" Hexadecimal : " + output + " \n");
	}
}

function main(args)
{
	var obj = new MyNumber();
	//Test Cases
	obj.decimal_to_hexa(16);
	obj.decimal_to_hexa(-16);
	obj.decimal_to_hexa(143);
	obj.decimal_to_hexa(148);
	obj.decimal_to_hexa(128);
	obj.decimal_to_hexa(14);
	obj.decimal_to_hexa(-17);
}
main();
    

Output

Decimal : 16 Hexadecimal : 10
Decimal : -16 Hexadecimal : -10
Decimal : 143 Hexadecimal : 8F
Decimal : 148 Hexadecimal : 94
Decimal : 128 Hexadecimal : 80
Decimal : 14 Hexadecimal : E
Decimal : -17 Hexadecimal : -11
#   Python 3 Program
#   Convert decimal to hexadecimal number

class MyNumber :
	# Convert decimal to hexadecimal
	def hexa_decimal(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 decimal_to_hexa(self, number) :
		print("Decimal : ", number, end = "")
		flag = False
		if (number < 0) :
			flag = True
			number = -number
		
		# Convert decimal to hexa decimal
		output = self.hexa_decimal(number)
		if (flag == True) :
			# When negative element exist
			output = "-"+ output
		
		print(" Hexadecimal : ", output ," \n", end = "")
	

def main() :
	obj = MyNumber()
	# Test Cases
	obj.decimal_to_hexa(16)
	obj.decimal_to_hexa(-16)
	obj.decimal_to_hexa(143)
	obj.decimal_to_hexa(148)
	obj.decimal_to_hexa(128)
	obj.decimal_to_hexa(14)
	obj.decimal_to_hexa(-17)


if __name__ == "__main__": main()
    

Output

Decimal :  16 Hexadecimal :  10
Decimal :  -16 Hexadecimal :  -10
Decimal :  143 Hexadecimal :  8F
Decimal :  148 Hexadecimal :  94
Decimal :  128 Hexadecimal :  80
Decimal :  14 Hexadecimal :  E
Decimal :  -17 Hexadecimal :  -11
#   Ruby Program
#   Convert decimal to hexadecimal number

class MyNumber

	# Convert decimal to hexadecimal
	def hexa_decimal(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 decimal_to_hexa(number)
	
		print("Decimal  : ", number)
		flag = false
		if (number < 0)
		
			flag = true
			number = -number
		end
		# Convert decimal to hexa decimal
		output = self.hexa_decimal(number)
		if (flag == true)
		
			# When negative element exist
			output = "-"+ output
		end
		print(" Hexadecimal  : ", output ," \n")
	end
end
def main()

	obj = MyNumber.new()
	# Test Cases
	obj.decimal_to_hexa(16)
	obj.decimal_to_hexa(-16)
	obj.decimal_to_hexa(143)
	obj.decimal_to_hexa(148)
	obj.decimal_to_hexa(128)
	obj.decimal_to_hexa(14)
	obj.decimal_to_hexa(-17)
end
main()
    

Output

Decimal  : 16 Hexadecimal  : 10 
Decimal  : -16 Hexadecimal  : -10 
Decimal  : 143 Hexadecimal  : 8F 
Decimal  : 148 Hexadecimal  : 94 
Decimal  : 128 Hexadecimal  : 80 
Decimal  : 14 Hexadecimal  : E 
Decimal  : -17 Hexadecimal  : -11 
/*
  Scala Program
  Convert decimal to hexadecimal number
*/
class MyNumber
{
	//Convert decimal to hexadecimal
	def hexa_decimal(num: Long): String = {
		var result: String = "";
		var digit: Long = 0;
		var index: Int = 0;
      	var number: Long = 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 decimal_to_hexa(num: Long): Unit = {
      	var number: Long = num;
		print("Decimal : " + number);
		var flag: Boolean = false;
		if (number < 0)
		{
			flag = true;
			number = -number;
		}
		//Convert decimal to hexa decimal
		var output: String = hexa_decimal(number);
		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
		obj.decimal_to_hexa(16);
		obj.decimal_to_hexa(-16);
		obj.decimal_to_hexa(143);
		obj.decimal_to_hexa(148);
		obj.decimal_to_hexa(128);
		obj.decimal_to_hexa(14);
		obj.decimal_to_hexa(-17);
	}
}
    

Output

Decimal : 16 Hexadecimal : 10
Decimal : -16 Hexadecimal : -10
Decimal : 143 Hexadecimal : 8F
Decimal : 148 Hexadecimal : 94
Decimal : 128 Hexadecimal : 80
Decimal : 14 Hexadecimal : E
Decimal : -17 Hexadecimal : -11
/*
  Swift Program
  Convert decimal to hexadecimal number
*/
class MyNumber
{
	//Convert decimal to hexadecimal
	func hexa_decimal(_ number: inout Int) -> String
	{
		var result: String = "";
		var digit: Int = 0;
		var index: Int = 0;
		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 decimal_to_hexa(_ num:  Int)
	{
      	var number : Int = num;
		print("Decimal : ", number, terminator: "");
		var flag: Bool = false;
		if (number < 0)
		{
			flag = true;
			number = -number;
		}
		//Convert decimal to hexa decimal
		var output: String = self.hexa_decimal(&number);
		if (flag == true)
		{
			//When negative element exist
			output = "-" + output;
		}
		print(" Hexadecimal : ", output ," \n", terminator: "");
	}
}
func main()
{
	let obj: MyNumber = MyNumber();
	//Test Cases
	obj.decimal_to_hexa(16);
	obj.decimal_to_hexa(-16);
	obj.decimal_to_hexa(143);
	obj.decimal_to_hexa(148);
	obj.decimal_to_hexa(128);
	obj.decimal_to_hexa(14);
	obj.decimal_to_hexa(-17);
}
main();
    

Output

Decimal :  16 Hexadecimal :  10
Decimal :  -16 Hexadecimal :  -10
Decimal :  143 Hexadecimal :  8F
Decimal :  148 Hexadecimal :  94
Decimal :  128 Hexadecimal :  80
Decimal :  14 Hexadecimal :  E
Decimal :  -17 Hexadecimal :  -11

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