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Tip of the Day
Language: Visual Basic
Expertise: Beginner
Mar 23, 2000



Building the Right Environment to Support AI, Machine Learning and Deep Learning

Convert a Decimal Number to Base N

Here's a function that converts a decimal number (base 10) to another base number system. Each digit position corresponds to a power of N, where N is a number between 2 and 36. In other words, if a number system's base is N, then N digits are used to write numbers in that system. For example, the base 2 number system (binary) uses the digits 0 and 1, while the base 20 system uses digits 0 through K.

The ConvertDecToBaseN function accepts a double-value decimal number and a byte-value representing the base number between 2 and 36. By default, the base value used is 16 (hexadecimal). The decimal number is converted to a positive number if it's negative. This function is useful for representing large numbers as strings, using fewer digit positions. I developed it to help reduce the footprint of several large numbers used in constructing a 16-character unique string ID. (Creating a complementary function to convert a base N number back into a decimal would be a great exercise.)
Public Function ConvertDecToBaseN(ByVal dValue As Double, _
	Optional ByVal byBase As Byte = 16) As String
	Const BASENUMBERS As String = _
	Dim sResult As String
	Dim dRemainder As Double
	On Error GoTo ErrorHandler
	sResult = ""
	If (byBase < 2) Or (byBase > 36) Then GoTo Done
	dValue = Abs(dValue)
	dRemainder = dValue - (byBase * Int((dValue / byBase)))
	sResult = Mid$(BASENUMBERS, dRemainder + 1, 1) & sResult
	dValue = Int(dValue / byBase)
Loop While (dValue > 0)
	ConvertDecToBaseN = sResult
	Exit Function
	Err.Raise Err.Number, "ConvertDecToBaseN", _
End Function
Sample usage:
ConvertDecToBaseN(999999999999#, 36)
'Returns 'CRE66I9R
Peter Rodriguez
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