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Base N converter (N = 10-62)

, 17 Jul 2008 CPOL
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Can convert from Base 10 to Base 62.

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)

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Comments and Discussions

 
GeneralThanks Pinmemberwestdw1-May-09 7:16 
GeneralLimited PinmemberPIEBALDconsult17-Jul-08 5:16 
GeneralRe: Limited Pinmemberkevdelkevdel17-Jul-08 5:49 
GeneralArticle layout PinmemberJaime Olivares16-Jul-08 16:06 
GeneralRe: Article layout PinmemberPaw Jershauge17-Jul-08 0:35 
AnswerRe: Article layout PinmemberJaime Olivares17-Jul-08 2:22 
QuestionIs there such thing as base 1? Pinmemberreinux24-Nov-07 22:29 
AnswerRe: Is there such thing as base 1? PinmemberPawJershauge25-Nov-07 1:56 
GeneralRe: Is there such thing as base 1? Pinmemberreinux25-Nov-07 13:46 
AnswerRe: Is there such thing as base 1? PinmemberCoLithium26-Nov-07 19:03 
GeneralRe: Is there such thing as base 1? Pinmemberreinux26-Nov-07 19:53 
GeneralRe: Is there such thing as base 1? PinmemberCoLithium26-Nov-07 20:06 
GeneralRe: Is there such thing as base 1? PinmemberPIEBALDconsult17-Jul-08 5:11 
GeneralRe: Is there such thing as base 1? ==&gt; Yes: Binary! Pinmemberscofflaw21-Jul-08 21:55 
GeneralRe: Is there such thing as base 1? ==&gt; Yes: Binary! PinmemberDarchangel22-Jul-08 4:03 
GeneralRe: Is there such thing as base 1? ==&gt; Yes: Binary! Pinmemberscofflaw22-Jul-08 4:20 
Generalconfusing PinmemberLuc Pattyn23-Nov-07 4:21 
GeneralRe: confusing PinmemberPawJershauge23-Nov-07 4:30 
GeneralRe: confusing PinmemberLuc Pattyn23-Nov-07 4:33 
GeneralRe: confusing PinmemberPawJershauge23-Nov-07 4:38 
GeneralRe: confusing PinmemberJaime Olivares23-Nov-07 5:26 
GeneralRe: confusing PinmemberJaime Olivares23-Nov-07 5:27 
GeneralRe: confusing PinmemberPawJershauge23-Nov-07 5:54 
GeneralRe: confusing PinmemberLuc Pattyn23-Nov-07 9:10 

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