Vigesimal in Java

In Java, the Vigesimal is a number system having a base of 20. Like Duodecimal numbers, we can use predefined or user-defined methods to either find the equivalent vigesimal number of binary, octal, decimal and hexadecimal numbers or to find the equivalent other base numbers of the given vigesimal number.

These are some examples of vigesimal numbers.

The vigesimal number(AF)20 is equal to the binary number (11010111)2.
The vigesimal number (C2)20 is equal to the octal number (362)8.
The vigesimal number (I2)20 is equal to the decimal number (362)10.
The vigesimal number (44DBI)20 is equal to the hexadecimal number (A563E)16.
The vigesimal number (36BJCE)20 is equal to the hexa-trigesimal number (A563E)32.

Steps to find vigesimal number

These are the following steps to find the vigesimal number of the given hexadecimal 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 vigesimal
Return the vigesimal number.

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

VigesimalNumber.java

package javatpoint.com.VigesimalNumber;

//import required classes and packages

import java.util.*;

//create class VigesimalNumber to find equivalent vigesimal number of the given hexadecimal number
class VigesimalNumber {
	
	//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 convertToVigesimal() method which convert the decimal number into vigesimal number and return it into main() method.
	public static String convertToVigesimal(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 vigesimal = "";   
	    
	    // create vigesimalChars[] array for defining the characters.
	    char vigesimalChars[] = {'0','1','2','3','4','5','6','7','8','9','A','B','C','D','E','F','G','H','I','J', 'K' };  
	    
	    // logic to find equivalent vigesimal number
	    while(temp > 0)  
	     {  
	       rem = temp % 20;   
	       vigesimal = vigesimalChars[rem]+vigesimal;   
	       temp = temp / 20;  
	     }  
	     return vigesimal;
	}
	
	//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 convertToVigesimal() and print the returned value of it.
		System.out.println("Vigesimal number : " + convertToVigesimal(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 vigesimal number.

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