need help in developing an algorithm.

    Shared Function FromBaseN(ByVal strNumber As String, 
    ByVal intBase As Integer) As Integer method...
    Don't want to spoil ALL the fun!


Finally:


    Public Function FromBaseToBase(ByVal strNumber As String, 
                     ByVal fromBase As Integer, ByVal toBase As Integer) As String
        Return ToBaseN(FromBaseN(strNumber, fromBase), toBase)
    End Function

        public static string ToBaseN(int intNumber, int intBase)
	{
		string functionReturnValue = null;
		int intRemainder = 0;
		int intLeftOver = System.Math.Abs(intNumber);
		StringBuilder buff = new StringBuilder();
		if (intBase < 1 || intBase > 62)
		{
			throw new ArgumentException("Invalid numeric base.  The base must be > 1 and < 62.", intBase);
		}
		while ((intLeftOver > 0)) {
			// Get the digit ordnal for the digit in the new base
			intRemainder = intLeftOver % intBase;
			// Select the new Base Digit
			buff.Insert(0, CHARACTER_LIST.ToCharArray()(intRemainder));
			// Keep working what is left over
			intLeftOver = intLeftOver / intBase;
		}
		return buff.ToString();
	}

Private Const CHARACTER_LIST As String = "0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz"


    Shared Function ToBaseN(ByVal intNumber As Integer, ByVal intBase As Integer) As String
        Dim intRemainder As Integer = 0
        Dim intLeftOver As Integer = System.Math.Abs(intNumber)
        Dim buff As New StringBuilder()

        If intBase < 1 OrElse intBase > 62 Then
            Throw New ArgumentException("Invalid numeric base.  The base must be > 1 and < 62.", intBase)
        End If

        While (intLeftOver > 0)
            ' Get the digit ordnal for the digit in the new base
            intRemainder = intLeftOver Mod intBase

            ' Select the new Base Digit
            buff.Insert(0, CHARACTER_LIST.ToCharArray()(intRemainder))

            ' Keep working what is left over
            intLeftOver = intLeftOver \ intBase

        End While

        Return buff.ToString()
    End Function