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Base N converter (N = 10-62)

By , 16 Jul 2008
 

Screenshot - figure1.jpg

Screenshot - figure2.jpg

Introduction

This class uses the Hex algorithm idea and expands it. Or, more like the Base64 conversion.

The Class

public static class ExpandableHexConverter
{
    public enum ExpandLevel
    {
        A = 11,
        B,
        C,
        D,
        E,
        F,
        G,
        H,
        I,
        J,
        K,
        L,
        M,
        N,
        O,
        P,
        Q,
        R,
        S,
        T,
        U,
        V,
        W,
        X,
        Y,
        Z,
        UseCaseSensitive = 62
    }

    public static string ToHex(long value, ExpandLevel ExpandBy)
    {
        return loopRemainder(value, (long)ExpandBy);
    }

    public static long ToInt64(string value, ExpandLevel ExpandBy)
    {
        value = validate(value, ExpandBy);
        long returnvalue = 0;
        for (int i = 0; i < value.Length; i++)
            returnvalue += (long)Math.Pow((long)ExpandBy, 
                           (value.Length - (i + 1))) * CharToVal(value[i]);
        return returnvalue;
    }

    private static string loopRemainder(long value, long PowerOf)
    {
        long x = 0;
        long y = Math.DivRem(value, PowerOf, out x);
        if (y > 0)
            return loopRemainder(y, PowerOf) + ValToChar(x).ToString();
        else
            return ValToChar(x).ToString();
    }
    private static char ValToChar(long value)
    {
        if (value > 9)
        {
            int ascii = (65 + ((int)value - 10));
            if (ascii > 90)
                ascii += 6;
            return (char)ascii;
        }
        else
            return value.ToString()[0];
    }
    private static long CharToVal(char value)
    {
        long chrval = (int)value;
        if (chrval > 96)
            return (chrval - 71) + 10;
        else if (chrval > 64)
            return (chrval - 65) + 10;
        else
            return int.Parse(value.ToString());
    }
    private static string validate(string input, ExpandLevel ExpandBy)
    {
        string validchars = "";
        string rtnval = "";
        for (long c = 0; c < (long)ExpandBy; c++)
            validchars += ValToChar(c);
        foreach (char i in input)
            if (validchars.Contains(i.ToString()))
                rtnval += i;
        return rtnval;
    }
}

Using the code

Normal hex looks like this:

string HexValue = ExpandableHexConverter.ToHex(255, 
                     ExpandableHexConverter.ExpandLevel.F);

Result:

HexValue = FF

Expanded hex could look like this:

//NOTE: Z Level selected and the value to convert is larger.
string HexValue = ExpandableHexConverter.ToHex(1295, 
                        ExpandableHexConverter.ExpandLevel.Z);

Result:

Result:
HexValue = ZZ

Expanded hex could also look like this:

//NOTE: UseCaseSensitive Level selected and the value 
//to convert is larger that the previus example.
string HexValue = ExpandableHexConverter.ToHex(3843, 
                      ExpandableHexConverter.ExpandLevel.UseCaseSensitive);

Result:

Result:
HexValue = zz

Some comparisons

The normal Hex Algorithm is Base 16, which is demonstrated here:

  • F = 15 (0 to 15 = 16)
  • FF = 255
  • FFF = 4095

The expanded Hex Algorithm set to Z is Base 36, which is demonstrated here:

  • Z = 35 (0 to 35 = 36)
  • ZZ = 1295
  • ZZZ = 46655 (11 times larger than normal Hex)

The expanded Hex Algorithm set to UseCaseSensitive is Base 62, which is demonstrated here:

  • z = 61 (0 to 61 = 62)
  • zz = 3843
  • zz = 238327(58 times larger than normal Hex)

History

  • 23. Nov. 2007 - The first version is posted.
  • 23. Nov. 2007 - Article renamed...

License

This article, along with any associated source code and files, is licensed under The Code Project Open License (CPOL)

About the Author

Paw Jershauge
Software Developer
Denmark Denmark
Member

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