Duodecimal in Java

In the number system, the Duodecimal number is a number having a base of 12. In Java, we can use predefined or user-defined methods to either find the duodecimal number of binary, octal, decimal, and hexadecimal numbers or to convert duodecimal numbers into other base numbers.

These are some examples of duodecimal numbers.

The duodecimal number(15b)12 is equal to the binary number (11010111)2.
The duodecimal number (182)12 is equal to the octal number (362)8.
The duodecimal number (262)12 is equal to the decimal number (362)10.
The duodecimal number (288052)12 is equal to the hexadecimal number (A563E)16.
The duodecimal number (58576a2)12 is equal to the hexatrigesimal number (A563E)32.

Steps to find duodecimal number

These are the following steps to find the duodecimal number of the given number of any base:

Take a hexadecimal number from the user as an input.
Create a user-defined method to convert it into decimal.
We also create a user-defined function that takes the decimal number and converts it into duodecimal
Return the duodecimal number.

Let's implement the logic to convert a hexadecimal number into a duodecimal number:

DuodecimalNumber.java

package javatpoint.com.FindEconomicalNumber;

//import required classes and packages

import java.util.*;

// create class DuodecimalNumber to find equivalent duodecimal number of the given hexadecimal number
class DuodecimalNumber {
	
	//create convertToDec() method which return the decimal number of the given hexadecimal number
	public static String convertToDec(String value, int base, Map<Character, Integer>hexatoDec)
	{
		int sum = 0;
		int pow = 0;
		String tempData = value;
		
		//logic to find equivalent decimal number
		for (int i = tempData.length() - 1; i >= 0; i--) {
			int val = tempData.charAt(i) - '0';
			if (base == 16 && hexatoDec.containsKey(tempData.charAt(i))) {
				val = hexatoDec.get(tempData.charAt(i));
			}
			sum += (val) * (Math.pow(base, pow++));
		}
		return String.valueOf(sum);
	}
	
	// create convertToDuoDecimal() method which convert the decimal number into Duodecimal number and return it into main() method.
	public static String convertToDuoDecimal(String value, int base, Map<Integer, Character>dectoHex, Map<Character, Integer>hextoDec)
	{
		String val = value;
		int newBase = base;

		// check whether the base is decimal or not.  
		if (newBase != 10) {
			// if the base is not 10, it call the convertToDec() method which return the corresponding decimal number of the given number.
			val = convertToDec(value, base, hextoDec);
			
			// after converting the number, we change the value of newBase with 10.
			newBase = 10;
		}
		
		// convert the String number into integer.
		int temp = Integer.parseInt(val);
		int rem;  
	    String duoDecimal = "";   
	    
	    // create duoDecimalChars[] array for defining the characters.
	    char duoDecimalChars[] = {'0','1','2','3','4','5','6','7','8','9','A','B'};  
	    
	    // logic to find equivalent duodecimal number
	    while(temp > 0)  
	     {  
	       rem = temp % 12;   
	       duoDecimal = duoDecimalChars[rem]+duoDecimal;   
	       temp = temp / 12;  
	     }  
	     return duoDecimal;
	}
	
	//main() method start
	public static void main(String[] args)
	{
		// create a variable to store hexadecimal number
		String val;
		
		//create a scanner class object to take input from user.
		Scanner sc1 = new Scanner(System.in);
		System.out.print("Enter the hexadecimal number: ");
		val = sc1.nextLine();
		
		// close scanner class object
		sc1.close();
		
		//create hexatoDec and dectoHexa for storing the values
		Map<Character, Integer> hexatoDec = new HashMap<>();
		Map<Integer, Character> dectoHex = new HashMap<>();
		
		// logic to store date into hexatoDec and dectoHexa map
		for (int i = 0; i < 6; i++) {
			dectoHex.put(10 + i, (char)('A' + i));
			hexatoDec.put((char)('A' + i), 10 + i);
		}
		
		// call the convertToDuoDecimal() and print the returned value of it.
		System.out.println("Duodecimal : " + convertToDuoDecimal(val, 16, dectoHex, hexatoDec));
		
		
	}
}

Output:

In order to convert other base numbers except for hexadecimal, we have to create other user-defined methods like the convertToDec() method, which will convert the given number into decimal and return it for calculating the duodecimal number.

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