Quickest way to convert a base 10 number to any base in NET

Question

I have and old ish  C  method I wrote that takes a number and converts it to any base   string ConvertToBase int number  char   baseChars     It s not all that super speedy and neat  Is there a good  known way of achieving this in  NET   I m looking for something that allows me to use any base with an arbitrary string of characters to use   This only allows bases 16  10  8 and 2   Convert ToString 1  x     I want to use this to achieve a massively high base taking advantage of numbers  all lower case and all upper case letters  Like in this thread  but for C  not JavaScript   Does anyone know of a good and efficient way of doing this in C

User · Answer

Could this class from this forum post help you?

public class BaseConverter { 

public static string ToBase(string number, int start_base, int target_base) { 

  int base10 = this.ToBase10(number, start_base); 
  string rtn = this.FromBase10(base10, target_base); 
  return rtn; 

} 

public static int ToBase10(string number, int start_base) { 

  if (start_base < 2 || start_base > 36) return 0; 
  if (start_base == 10) return Convert.ToInt32(number); 

  char[] chrs = number.ToCharArray(); 
  int m = chrs.Length - 1; 
  int n = start_base; 
  int x; 
  int rtn = 0; 

  foreach(char c in chrs) { 

    if (char.IsNumber(c)) 
      x = int.Parse(c.ToString()); 
    else 
      x = Convert.ToInt32(c) - 55; 

    rtn += x * (Convert.ToInt32(Math.Pow(n, m))); 

    m--; 

  } 

  return rtn; 

} 

public static string FromBase10(int number, int target_base) { 

  if (target_base < 2 || target_base > 36) return ""; 
  if (target_base == 10) return number.ToString(); 

  int n = target_base; 
  int q = number; 
  int r; 
  string rtn = ""; 

  while (q >= n) { 

    r = q % n; 
    q = q / n; 

    if (r < 10) 
      rtn = r.ToString() + rtn; 
    else 
      rtn = Convert.ToChar(r + 55).ToString() + rtn; 

  } 

  if (q < 10) 
    rtn = q.ToString() + rtn; 
  else 
    rtn = Convert.ToChar(q + 55).ToString() + rtn; 

  return rtn; 

} 

}

Totally untested... let me know if it works! (Copy-pasted it in case the forum post goes away or something...)

User · Answer

This is a fairly straightforward way to do this  but it may not be the fastest  It is quite powerful because it is composable   public static IEnumerable lt int gt  ToBase this int x  int b        IEnumerable lt int gt  ToBaseReverse                 if  x    0                        yield return 0              yield break                    int z   x          while  z  gt  0                        yield return z   b              z   z   b                       return ToBaseReverse   Reverse        Combine this with this simple extension method and any getting any base is now possible   public static string ToBase this int number  string digits    gt      String Concat number ToBase digits Length  Select x   gt  digits x       It can be used like this   var result   23 ToBase  01    var result2   23 ToBase  012X     Console WriteLine result   Console WriteLine result2     The output is    10111 11X

User · Answer

Very late to the party on this one  but I wrote the following helper class recently for a project at work  It was designed to convert short strings into numbers and back again  a simplistic perfect hash function   however it will also perform number conversion between arbitrary bases  The Base10ToString method implementation answers the question that was originally posted   The shouldSupportRoundTripping flag passed to the class constructor is needed to prevent the loss of leading digits from the number string during conversion to base-10 and back again  crucial  given my requirements    Most of the time the loss of leading 0s from the number string probably won t be an issue   Anyway  here s the code   using System  using System Collections Generic  using System Linq   namespace StackOverflow            lt summary gt          Contains methods used to convert numbers between base-10 and another numbering system           lt  summary gt           lt remarks gt           lt para gt          This conversion class makes use of a set of characters that represent the digits used by the target         numbering system  For example  binary would use the digits 0 and 1  whereas hex would use the digits         0 through 9 plus A through F  The digits do not have to be numerals           lt  para gt           lt para gt          The first digit in the sequence has special significance  If the number passed to the          lt see cref  StringToBase10   gt  method has leading digits that match the first digit  then those leading         digits will effectively be  lost  during conversion  Much of the time this won t matter  For example           0F  hex will be converted to 15 decimal  but when converted back to hex it will become simply  F           losing the leading  0   However  if the set of digits was A through Z  and the number  ABC  was         converted to base-10 and back again  then the leading  A  would be lost  The  lt see cref  System Boolean   gt          flag passed to the constructor allows  round-tripping  behaviour to be supported  which will prevent         leading digits from being lost during conversion           lt  para gt           lt para gt          Note that numeric overflow is probable when using longer strings and larger digit sets           lt  para gt           lt  remarks gt      public class Base10Converter               const char NullDigit     0            public Base10Converter string digits  bool shouldSupportRoundTripping   false                this digits ToCharArray    shouldSupportRoundTripping                               public Base10Converter IEnumerable lt char gt  digits  bool shouldSupportRoundTripping   false                        if  digits    null                                throw new ArgumentNullException  digits                               if  digits Count      0                                throw new ArgumentException                      message   The sequence is empty                        paramName   digits                                                    if   digits Distinct   SequenceEqual digits                                 throw new ArgumentException                      message   There are duplicate characters in the sequence                        paramName   digits                                                    if  shouldSupportRoundTripping                                digits    new     NullDigit    Concat digits                               digitToIndexMap                   digits                  Select  digit  index    gt  new   digit  index                     ToDictionary keySelector  x   gt  x digit  elementSelector  x   gt  x index                 radix    digitToIndexMap Count                indexToDigitMap                    digitToIndexMap                  ToDictionary keySelector  x   gt  x Value  elementSelector  x   gt  x Key                      readonly Dictionary lt char  int gt   digitToIndexMap          readonly Dictionary lt int  char gt   indexToDigitMap          readonly int  radix           public long StringToBase10 string number                        Func lt char  int  long gt  selector                    c  i    gt                                        int power   number Length - i - 1                       int digitIndex                      if    digitToIndexMap TryGetValue c  out digitIndex                                                 throw new ArgumentException                              message  String Format  Number contains an invalid digit   0   at position  1     c  i                               paramName   number                                                                            return Convert ToInt64 digitIndex   Math Pow  radix  power                                    return number Select selector  Sum                       public string Base10ToString long number                        if  number  lt  0                                throw new ArgumentOutOfRangeException                      message   Value cannot be negative                        paramName   number                                                    string text   string Empty               long remainder              do                               number   Math DivRem number   radix  out remainder                    char digit                  if    indexToDigitMap TryGetValue  int  remainder  out digit     digit    NullDigit                                        throw new ArgumentException                          message   Value cannot be converted given the set of digits used by this converter                            paramName   number                                                                text   digit   text                            while  number  gt  0                return text                      This can also be subclassed to derive custom number converters   namespace StackOverflow       public sealed class BinaryNumberConverter   Base10Converter               public BinaryNumberConverter                 base digits   01   shouldSupportRoundTripping  false                                 public sealed class HexNumberConverter   Base10Converter               public HexNumberConverter                 base digits   0123456789ABCDEF   shouldSupportRoundTripping  false                                And the code would be used like this   using System Diagnostics   namespace StackOverflow       class Program               static void Main string   args                                          var converter   new Base10Converter                      digits   ABCDEFGHIJKLMNOPQRSTUVWXYZ0123456789abcdefghijklmnopqrstuvwxyz                       shouldSupportRoundTripping  true                                         long number   converter StringToBase10  Atoz                    string text   converter Base10ToString number                   Debug Assert text     Atoz                                                 var converter   new HexNumberConverter                     string text   converter Base10ToString 255                   long number   converter StringToBase10 text                   Debug Assert number    255

User · Answer

I was using this to store a Guid as a shorter string  but was limited to use 106 characters   If anyone is interested here is my code for decoding the string back to numeric value  in this case I used 2 ulongs for the Guid value  rather than coding an Int128  since I m in 3 5 not 4 0   For clarity CODE is a string const with 106 unique chars  ConvertLongsToBytes is pretty unexciting   private static Guid B106ToGuid string pStr                try                       ulong tMutl   1  tL1   0  tL2   0  targetBase    ulong CODE Length              for  int i   0  i  lt  pStr Length   2  i                                  tL1     ulong CODE IndexOf pStr i     tMutl                  tL2     ulong CODE IndexOf pStr pStr Length   2   i     tMutl                  tMutl    targetBase                            return new Guid ConvertLongsToBytes tL1  tL2                      catch  Exception ex                        throw new Exception  B106ToGuid failed to convert string to Guid   ex

User · Answer

I had a similar need  except I needed to do math on the  numbers  as well  I took some of the suggestions here and created a class that will do all this fun stuff  It allows for any unicode character to be used to represent a number and it works with decimals too   This class is pretty easy to use  Just create a number as a type of New BaseNumber  set a few properties  and your off  The routines take care of switching between base 10 and base x automatically and the value you set is preserved in the base you set it in  so no accuracy is lost  until conversion that is  but even then precision loss should be very minimal since this routine uses Double and Long where ever possible    I can t command on the speed of this routine  It is probably quite slow  so I m not sure if it will suit the needs of the one who asked the question  but it certain is flexible  so hopefully someone else can use this   For anyone else that may need this code for calculating the next column in Excel  I will include the looping code I used that leverages this class   Public Class BaseNumber      Private  CharacterArray As List Of Char       Private  BaseXNumber As String     Private  Base10Number As Double       Private NumberBaseLow As Integer     Private NumberBaseHigh As Integer      Private DecimalSeparator As Char   System Globalization CultureInfo CurrentCulture NumberFormat NumberDecimalSeparator     Private GroupSeparator As Char   System Globalization CultureInfo CurrentCulture NumberFormat NumberGroupSeparator      Public Sub UseCapsLetters            http   unicodelookup com         TrySetBaseSet 65  90      End Sub      Public Function GetCharacterArray   As List Of Char          Return  CharacterArray     End Function      Public Sub SetCharacterArray CharacterArray As String           CharacterArray   New List Of Char           CharacterArray AddRange CharacterArray ToList           TrySetBaseSet  CharacterArray      End Sub      Public Sub SetCharacterArray CharacterArray As List Of Char            CharacterArray   CharacterArray         TrySetBaseSet  CharacterArray      End Sub      Public Sub SetNumber Value As String           BaseXNumber   Value          Base10Number   Nothing     End Sub      Public Sub SetNumber Value As Double           Base10Number   Value          BaseXNumber   Nothing     End Sub      Public Function GetBaseXNumber   As String         If  BaseXNumber IsNot Nothing Then             Return  BaseXNumber         Else             Return ToBaseString           End If     End Function      Public Function GetBase10Number   As Double         If  Base10Number IsNot Nothing Then             Return  Base10Number         Else             Return ToBase10           End If     End Function      Private Sub TrySetBaseSet Values As List Of Char           For Each value As Char In  BaseXNumber             If Not Values Contains value  Then                 Throw New ArgumentOutOfRangeException  The string has a value     amp  value  amp     not contained in the selected  base  set                     CharacterArray Clear                   DetermineNumberBase               End If         Next           CharacterArray   Values      End Sub      Private Sub TrySetBaseSet LowValue As Integer  HighValue As Integer           Dim HighLow As KeyValuePair Of Integer  Integer    GetHighLow            If HighLow Key  lt  LowValue OrElse HighLow Value  gt  HighValue Then             Throw New ArgumentOutOfRangeException  The string has a value not contained in the selected  base  set                 CharacterArray Clear               DetermineNumberBase           End If          NumberBaseLow   LowValue         NumberBaseHigh   HighValue      End Sub      Private Function GetHighLow Optional Values As List Of Char    Nothing  As KeyValuePair Of Integer  Integer          If Values Is Nothing Then             Values    BaseXNumber ToList         End If          Dim lowestValue As Integer   Convert ToInt32 Values 0           Dim highestValue As Integer   Convert ToInt32 Values 0            Dim currentValue As Integer          For Each value As Char In Values              If value  lt  gt  DecimalSeparator AndAlso value  lt  gt  GroupSeparator Then                 currentValue   Convert ToInt32 value                  If currentValue  gt  highestValue Then                     highestValue   currentValue                 End If                 If currentValue  lt  lowestValue Then                     currentValue   lowestValue                 End If             End If         Next          Return New KeyValuePair Of Integer  Integer  lowestValue  highestValue       End Function      Public Sub New BaseXNumber As String           BaseXNumber   BaseXNumber         DetermineNumberBase       End Sub      Public Sub New BaseXNumber As String  NumberBase As Integer          Me New BaseXNumber  Convert ToInt32  0 c   NumberBase      End Sub      Public Sub New BaseXNumber As String  NumberBaseLow As Integer  NumberBaseHigh As Integer           BaseXNumber   BaseXNumber         Me NumberBaseLow   NumberBaseLow         Me NumberBaseHigh   NumberBaseHigh     End Sub      Public Sub New Base10Number As Double           Base10Number   Base10Number     End Sub      Private Sub DetermineNumberBase           Dim highestValue As Integer          Dim currentValue As Integer          For Each value As Char In  BaseXNumber              currentValue   Convert ToInt32 value              If currentValue  gt  highestValue Then                 highestValue   currentValue             End If         Next          NumberBaseHigh   highestValue         NumberBaseLow   Convert ToInt32  0 c   assume 0 is the lowest      End Sub      Private Function ToBaseString   As String         Dim Base10Number As Double    Base10Number          Dim intPart As Long   Math Truncate Base10Number          Dim fracPart As Long    Base10Number - intPart  ToString Replace DecimalSeparator               Dim intPartString As String   ConvertIntToString intPart          Dim fracPartString As String   If fracPart  lt  gt  0  DecimalSeparator  amp  ConvertIntToString fracPart                Return intPartString  amp  fracPartString      End Function      Private Function ToBase10   As Double         Dim intPartString As String    BaseXNumber Split DecimalSeparator  0  Replace GroupSeparator              Dim fracPartString As String   If  BaseXNumber Contains DecimalSeparator    BaseXNumber Split DecimalSeparator  1                Dim intPart As Long   ConvertStringToInt intPartString          Dim fracPartNumerator As Long   ConvertStringToInt fracPartString          Dim fracPartDenominator As Long   ConvertStringToInt GetEncodedChar 1   amp  String Join     Enumerable Repeat GetEncodedChar 0   fracPartString ToString Length             Return Convert ToDouble intPart   fracPartNumerator   fracPartDenominator       End Function      Private Function ConvertIntToString ValueToConvert As Long  As String         Dim result As String   String Empty         Dim targetBase As Long   GetEncodingCharsLength            Do             result   GetEncodedChar ValueToConvert Mod targetBase   amp  result             ValueToConvert   ValueToConvert   targetBase         Loop While ValueToConvert  gt  0          Return result     End Function      Private Function ConvertStringToInt ValueToConvert As String  As Long         Dim result As Long         Dim targetBase As Integer   GetEncodingCharsLength           Dim startBase As Integer   GetEncodingCharsStartBase            Dim value As Char         For x As Integer   0 To ValueToConvert Length - 1             value   ValueToConvert x              result    GetDecodedChar value    Convert ToInt32 Math Pow GetEncodingCharsLength  ValueToConvert Length -  x   1            Next          Return result      End Function      Private Function GetEncodedChar index As Integer  As Char         If  CharacterArray IsNot Nothing AndAlso  CharacterArray Count  gt  0 Then             Return  CharacterArray index          Else             Return Convert ToChar index   NumberBaseLow          End If     End Function      Private Function GetDecodedChar character As Char  As Integer         If  CharacterArray IsNot Nothing AndAlso  CharacterArray Count  gt  0 Then             Return  CharacterArray IndexOf character          Else             Return Convert ToInt32 character  - NumberBaseLow         End If     End Function      Private Function GetEncodingCharsLength   As Integer         If  CharacterArray IsNot Nothing AndAlso  CharacterArray Count  gt  0 Then             Return  CharacterArray Count         Else             Return NumberBaseHigh - NumberBaseLow   1         End If     End Function      Private Function GetEncodingCharsStartBase   As Integer         If  CharacterArray IsNot Nothing AndAlso  CharacterArray Count  gt  0 Then             Return GetHighLow Key         Else             Return NumberBaseLow         End If     End Function End Class   And now for the code to loop through Excel columns       Public Function GetColumnList DataSheetID As String  As List Of String          Dim workingColumn As New BaseNumber  A           workingColumn SetCharacterArray   ABCDEFGHIJKLMNOPQRSTUVWXYZ            Dim listOfPopulatedColumns As New List Of String          Dim countOfEmptyColumns As Integer          Dim colHasData As Boolean         Dim cellHasData As Boolean          Do             colHasData   True             cellHasData   False             For r As Integer   1 To GetMaxRow DataSheetID                  cellHasData   cellHasData Or XLGetCellValue DataSheetID  workingColumn GetBaseXNumber  amp  r   lt  gt                 Next             colHasData   colHasData And cellHasData               keep trying until we get 4 empty columns in a row             If colHasData Then                 listOfPopulatedColumns Add workingColumn GetBaseXNumber                  countOfEmptyColumns   0             Else                 countOfEmptyColumns    1             End If               we are already starting with column A  so increment after we check column A             Do                 workingColumn SetNumber workingColumn GetBase10Number   1              Loop Until Not workingColumn GetBaseXNumber Contains               Loop Until countOfEmptyColumns  gt  3          Return listOfPopulatedColumns      End Function   You ll note the important part of the Excel part is that 0 is identified by a   in the re-based number  So I just filter out all the numbers that have an   in them and I get the proper sequence  A  B  C       Z  AA  AB  AC

User · Answer

I recently blogged about this  My implementation does not use any string operations during the calculations  which makes it very fast  Conversion to any numeral system with base from 2 to 36 is supported        lt summary gt      Converts the given decimal number to the numeral system with the     specified radix  in the range  2  36         lt  summary gt       lt param name  decimalNumber  gt The number to convert  lt  param gt       lt param name  radix  gt The radix of the destination numeral system  in the range  2  36    lt  param gt       lt returns gt  lt  returns gt  public static string DecimalToArbitrarySystem long decimalNumber  int radix        const int BitsInLong   64      const string Digits    0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZ        if  radix  lt  2    radix  gt  Digits Length          throw new ArgumentException  The radix must be  gt   2 and  lt       Digits Length ToString          if  decimalNumber    0          return  0        int index   BitsInLong - 1      long currentNumber   Math Abs decimalNumber       char   charArray   new char BitsInLong        while  currentNumber    0                int remainder    int  currentNumber   radix           charArray index--    Digits remainder           currentNumber   currentNumber   radix             string result   new String charArray  index   1  BitsInLong - index - 1       if  decimalNumber  lt  0                result    -    result             return result      I ve also implemented a fast inverse function in case anyone needs it too  Arbitrary to Decimal Numeral System

User · Answer

I too was looking for a fast way to convert decimal number to another base in the range of  2  36  so I developed the following code  Its simple to follow and uses a Stringbuilder object as a proxy for a character buffer that we can index character by character  The code appears to be very fast compared to alternatives and a lot faster than initialising individual characters in a character array    For your own use you might prefer to  1  Return a blank string rather than throw an exception  2  remove the radix check to make the method run even faster 3  Initialise the Stringbuilder object with 32  0 s and remove the the line result Remove  0  i     This will cause the string to be returned with leading zeros and further increase the speed  4  Make the Stringbuilder object a static field within the class so no matter how many times the DecimalToBase method is called the Stringbuilder object is only initialised the once  If you do this change 3 above would no longer work    I hope someone finds this useful     AtomicParadox          static string DecimalToBase int number  int radix                   Check that the radix is between 2 and 36 inclusive         if   radix  lt  2    radix  gt  36               throw new ArgumentException  ConvertToBase int number  int radix  - Radix must be between 2 and 36                 Create a buffer large enough to hold the largest int value represented in binary digits          StringBuilder result   new StringBuilder                                          32 spaces             The base conversion calculates the digits in reverse order so use            an index to point to the last unused space in our buffer         int i   32               Convert the number to the new base         do                       int remainder   number   radix              number   number   radix              if remainder  lt   9                  result --i     char  remainder    0        Converts  0  9  to ASCII   0    9               else                 result --i     char  remainder    7        Converts  10  36  to ASCII   A    Z             while   number  gt  0                Remove the unwanted padding from the front of our buffer and return the result            Note i points to the last unused character in our buffer         result Remove  0  i            return  result ToString

User · Answer

One can also use slightly modified version of the accepted one and adjust base characters string to it s needs   public static string Int32ToString int value  int toBase        string result   string Empty      do               result    0123456789ABCDEF  value   toBase    result          value    toBase            while  value  gt  0        return result

User · Answer

using System  using System Collections Generic  using System Linq  using System Text  using System Threading Tasks   namespace ConvertToAnyBase      class Program               static void Main string   args                        var baseNumber   int Parse Console ReadLine                 var number   int Parse Console ReadLine                 string conversion                     while number  0                                 conversion    Convert ToString number   baseNumber                   number   number   baseNumber                            var conversion2   conversion ToArray   Reverse                Console WriteLine string Join     conversion2

User · Answer

If anyone is seeking a VB option  this was based on Pavel s answer   Public Shared Function ToBase base10 As Long  Optional baseChars As String    0123456789ABCDEFGHIJKLMNOPQRTSUVWXYZ   As String      If baseChars Length  lt  2 Then Throw New ArgumentException  baseChars must be at least 2 chars long        If base10   0 Then Return baseChars 0       Dim isNegative   base10  lt  0     Dim radix   baseChars Length     Dim index As Integer   64  because it s how long a string will be if the basechars are 2 long  binary      Dim chars index  As Char  65 chars  64 from above plus one for sign if it s negative      base10   Math Abs base10        While base10  gt  0         chars index    baseChars base10 Mod radix          base10    radix          index -  1     End While      If isNegative Then         chars index     - c         index -  1     End If      Return New String chars  index   1  UBound chars  - index   End Function

User · Answer

FAST  FROM  AND  TO  METHODS  I am late to the party  but I compounded previous answers and improved over them  I think these two methods are faster than any others posted so far  I was able to convert 1 000 000 numbers from and to base 36 in under 400ms in a single core machine   Example below is for base 62  Change the BaseChars array to convert from and to any other base   private static readonly char   BaseChars              0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz  ToCharArray    private static readonly Dictionary lt char  int gt  CharValues   BaseChars             Select  c i   gt new  Char c  Index i               ToDictionary c  gt c Char c  gt c Index    public static string LongToBase long value       long targetBase   BaseChars Length        Determine exact number of characters to use     char   buffer   new char Math Max                  int  Math Ceiling Math Log value   1  targetBase    1        var i   buffer Length     do             buffer --i    BaseChars value   targetBase          value   value   targetBase          while  value  gt  0       return new string buffer  i  buffer Length - i      public static long BaseToLong string number          char   chrs   number ToCharArray         int m   chrs Length - 1       int n   BaseChars Length  x      long result   0       for  int i   0  i  lt  chrs Length  i                  x   CharValues  chrs i             result    x    long Math Pow n  m--             return result         EDIT  2018-07-12   Fixed to address the corner case found by  AdrianBotor  see comments  converting 46655 to base 36  This is caused by a small floating-point error calculating Math Log 46656  36  which is exactly 3  but  NET returns 3   4 44e-16  which causes an extra character in the output buffer

User · Answer

Convert ToString can be used to convert a number to its equivalent string representation in a specified base   Example   string binary   Convert ToString 5  2      convert 5 to its binary representation Console WriteLine binary                   prints 101   However  as pointed out by the comments  Convert ToString only supports the following  limited - but typically sufficient - set of bases  2  8  10  or 16   Update  to meet the requirement to convert to any base    I m not aware of any method in the BCL which is capable to convert numbers to any base so you would have to write your own small utility function  A simple sample would look like that  note that this surely can be made faster by replacing the string concatenation    class Program       static void Main string   args                   convert to binary         string binary   IntToString 42  new char      0    1                  convert to hexadecimal         string hex   IntToString 42               new char      0    1    2    3    4    5    6    7    8    9                             A    B    C    D    E    F                 convert to hexavigesimal  base 26  A-Z          string hexavigesimal   IntToString 42               Enumerable Range  A   26  Select x   gt   char x  ToArray                 convert to sexagesimal         string xx   IntToString 42               new char      0   1   2   3   4   5   6   7   8   9                A   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                a   b   c   d   e   f   g   h   i   j   k   l   m   n   o   p   q   r   s   t   u   v   w   x                public static string IntToString int value  char   baseChars                string result   string Empty          int targetBase   baseChars Length           do                       result   baseChars value   targetBase    result              value   value   targetBase                     while  value  gt  0            return result                  lt summary gt          An optimized method using an array as buffer instead of          string concatenation  This is faster for return values having          a length  gt  1           lt  summary gt      public static string IntToStringFast int value  char   baseChars                   32 is the worst cast buffer size for base 2 and int MaxValue         int i   32          char   buffer   new char i           int targetBase  baseChars Length           do                       buffer --i    baseChars value   targetBase               value   value   targetBase                    while  value  gt  0            char   result   new char 32 - i           Array Copy buffer  i  result  0  32 - i            return new string result             Update 2  Performance Improvement   Using an array buffer instead of string concatenation to build the result string gives a performance improvement especially on large number  see method IntToStringFast   In the best case  i e  the longest possible input  this method is roughly three times faster  However  for 1-digit numbers  i e  1-digit in the target base   IntToString will be faster

[c#] Quickest way to convert a base 10 number to any base in .NET?

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