Number conversion Show your work Base 10 to 2 8 16 18073 Ba

Number conversion - Show your work

Base 10 to 2, 8, 16: 18073

Base 8 to 2, 10, 16: 76104

Base 16 to 2, 8, 10: D10CA3B8

Base 2 to 8, 16: 1010 1100 1111 1101 0111 1001

This is for Java

Solution

//BaseConverter.java

import java.lang.String;
import java.util.Scanner;

public class BaseConverter
{

  
    //This Function convert string s in fBase to toBase
    static String base2base(String s, int fromBase, int toBase)
    {
        int number = fBaseToDecimalConversion(s, fromBase);
        return DecimalToBaseCoversion(number, toBase);
    }
    //This function convert a decimal value into other base
    static String DecimalToBaseCoversion(int decimalValue, int toBase)
     {

        String result = \"\";
        int reminder;
        // Convert input decimalValueber is given toBase by repeatedly
        // dividing it by toBase and taking reminderainder
        while (decimalValue > 0)
        {
            reminder = decimalValue % toBase;
            if (toBase == 16)
            {
                if (reminder == 10)
                    result=result+ \'A\';
                else if (reminder == 11)
                    result=result+ \'B\';
                else if (reminder == 12)
                    result=result+ \'C\';
                else if (reminder == 13)
                    result=result+ \'D\';
                else if (reminder == 14)
                    result=result+ \'E\';
                else if (reminder == 15)
                    result=result+ \'F\';
                else
                    result=result+ reminder;
            } else
                result=result+ reminder;

            decimalValue /= toBase;
        }
        // Reverse the resultult
        return new StringBuffer(result).reverse().toString();
    }

    //this function convert a string of numbers (which is compatible to fBase) in Decimalvalue
    static int fBaseToDecimalConversion(String s, int fBase)
    {

        if (fBase < 2 || (fBase > 10 && fBase != 16))
            return -1;

        int value = 0;
        int power = 1;

        for (int i = s.length() - 1; i >= 0; i--) {
            int singleDigit = digitToValue(s.charAt(i));

            if (singleDigit < 0 || singleDigit >= fBase)
                return -1;

            // Decimal equivalueent is str[len-1]*1 +
            // str[len-1]*fBase + str[len-1]*(fBase^2) + ...
            value += singleDigit * power;
            power = power * fBase;
        }

        return value;
    }
    //This Function convert a digit value into character for base System
    static int digitToValue(char c)
    {
        if (c >= \'0\' && c <= \'9\')
            return (int) c - \'0\';
        else
            return (int) c - \'A\' + 10;
    }

    public static void main(String [] args)
    {

            System.out.println(\"Base 10 value: 18073\" );
            System.out.println(\"to base 2: \" + base2base(\"18073\",10,2));
            System.out.println(\"to base 8: \" + base2base(\"18073\",10,8));
            System.out.println(\"to base 16: \" + base2base(\"18073\",10,16));
            System.out.println();

            System.out.println(\"Base 8 value: 76104\" );
            System.out.println(\"to base 2: \" + base2base(\"76104\",8,2));
            System.out.println(\"to base 10: \" + base2base(\"76104\",8,10));
            System.out.println(\"to base 16: \" + base2base(\"76104\",8,16));
            System.out.println();

            System.out.println(\"Base 16 value: D10CA3B8\" );
            System.out.println(\"to base 2: \" + base2base(\"D10CA3B8\",16,2));
            System.out.println(\"to base 8: \" + base2base(\"D10CA3B8\",16,8));
            System.out.println(\"to base 10: \" + base2base(\"D10CA3B8\",16,10));
            System.out.println();

            System.out.println(\"Base 2 value: 1010 1100 1111 1101 0111 1001\" );
            System.out.println(\"to base 8: \" + base2base(\"101011001111110101111001\",2,8));
            System.out.println(\"to base 16: \" + base2base(\"101011001111110101111001\",2,16));
            System.out.println();

    }

}

/*
output:

Base 10 value: 18073
to base 2: 100011010011001
to base 8: 43231
to base 16: 4699

Base 8 value: 76104
to base 2: 111110001000100
to base 10: 31812
to base 16: 7C44

Base 16 value: D10CA3B8
to base 2: 11010001000011001010001110111000
to base 8: 32103121670
to base 10: 3507266488

Base 2 value: 1010 1100 1111 1101 0111 1001
to base 8: 53176571
to base 16: ACFD79

*/