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Frequently Asked Questions

Converting a number from one base to another

Question:

How can I convert a number from one base to another base?

Answer:

The following function will convert a number from one base to
a number of another base:

procedure RadixStr(NumStr : pChar;
                   Radix : LongInt;
                   ResultStr : pChar;
                   NewRadix : LongInt;
                   var ErrorCode : LongInt);

The RadixStr() function takes a pointer to a null terminated string
containing a number of one base, and fills a buffer with a null
terminated string containing the number converted to another base.

Parameters:

NumStr: A pointer to a null terminated string containing the numeric
string to convert:

Radix: The base of the number contained in the NumStr parameter. The
base must be in the range of 2 to 36;

ResultStr : A pointer to a null terminated string buffer to place the
resulting numeric string. The buffer should be sufficiently large to
hold the resulting string.

NewRadix: The base to use in the conversion. The base must be in the
range of 2 to 36;

ErrorCode: Upon return, contains  the return code 0 if successful, or
the character number of the offending character contained in the
buffer NumStr.

Examples of calling the RadixStr() function:

{Convert Hex to Decimal}
RadixStr('FF',
         16,
         lpBuffer,
         10,
         Code);

Should return the string '255' in lpbuffer^.

{Convert Decimal to Binary}
RadixStr('255',
         10,
         lpBuffer,
         2,
         Code);

Should return the string '11111111' in lpbuffer^.

{Convert Hex to Octal}
RadixStr('FF',
         16,
         lpBuffer,
         8,
         Code);

Should return the string '377' in lpbuffer^.

{Function code}

procedure RadixStr(NumStr : pChar;
                   Radix : LongInt;
                   ResultStr : pChar;
                   NewRadix : LongInt;
                   var ErrorCode : LongInt);
var
  RadixChar : array[0..35] of Char;
  v : LongInt;
  i : LongInt;
  p : LongInt;
  c : Integer;
begin
  if ((Abs(Radix) < 2) or
      (Abs(Radix) > 36)) then begin
    ErrorCode := p;
    Exit;
  end;
  StrLCopy(ResultStr, NumStr, StrLen(NumStr));
  for i := 0 to 35 do begin
    if i <= 9 then
      RadixChar[i] := Char(48 + (i))
    else
      RadixChar[i] := Char(64 + (i - 9))
  end;
  v := 0;
  for i := 0 to (StrLen(ResultStr) - 1) do begin
    ResultStr[i] := UpCase(ResultStr[i]);
    p := Pos(ResultStr[i], PChar(@RadixChar)) - 1;
    if ((p < 0) or
        (p >= Abs(Radix))) then begin
      ErrorCode := i;
      Exit;
    end;
    v := v * Abs(Radix) + p;
  end;
  if v = 0 then begin
    ResultStr := '0';
    ErrorCode := 0;
    exit;
  end else begin
    i:=0;
    repeat
      ResultStr[i] := RadixChar[v mod NewRadix];
      v := v div NewRadix;
      Inc(i)
    until v = 0;
    if Radix < 0 then begin
      ResultStr[i] := '-';
      ResultStr[i + 1] := #0
    end else
      ResultStr[i] := #0;
    p := StrLen(ResultStr);
    for i := 0 to ((p div 2) - 1) do begin
      ResultStr[i] := Char(Byte(ResultStr[i]) xor
                           Byte(ResultStr[(p - i) - 1]));
      ResultStr[(p - i) - 1] := Char(Byte(ResultStr[(p - i) - 1]) xor
                                     Byte(ResultStr[i]));
      ResultStr[i] := Char(Byte(ResultStr[i]) xor
                           Byte(ResultStr[(p - i) - 1]))
    end;
    ResultStr[p] := #0;
    ErrorCode := 0;
  end;
end;



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