Please Note: This article is written for users of the following Microsoft Excel versions: 2007, 2010, 2013, 2016, 2019, and Excel in Office 365. If you are using an earlier version (Excel 2003 or earlier), this tip may not work for you. For a version of this tip written specifically for earlier versions of Excel, click here: Finding the Number of Significant Digits.

Finding the Number of Significant Digits

by Allen Wyatt
(last updated February 8, 2020)

2

Brenda is interested in knowing the number of significant digits in a value. She wonders if there is an Excel function or formula, she can use that would return the number of significant digits in the value shown in a cell.

This question is not as simple as it seems. For some people, finding the number of significant digits in a value means counting the number of digits, excluding any decimal points or negative signs. If that is all you need, then something like this formula will work just fine:

=IF(A1<0,IF(A1=INT(A1),LEN(A1)-1,LEN(A1)-2),IF(INT(A1)=A1,LEN(A1),LEN(A1)-1))

The reason that this isn't that simple, however, is because what constitutes the number of significant digits in a value depends on many things. The bottom line is that you can't always tell by looking at a value how many significant digits it has.

For instance, the value 100 could have 1, 2, or 3 significant digits. It is presumed that the value 1.00 has 3 significant digits, but that may not be the case if the value displayed is the result of formatting imposed by Excel—for instance, the value in the cell could be 1.0000437, which Excel formats as 1.00. You can discover more about the topic of significant digits here:

https://excelribbon.tips.net/T012083

There are some generally accepted ways to identify significant digits in a number, but any attempt to codify a set of rules is always open to debate. One such set of rules has been noted at Wikipedia, in the "Identifying Significant Digits" section of this article:

http://en.wikipedia.org/wiki/Significant_figures

With at least a rudimentary set of rules in mind (such as the one in the Wikipedia article) it is possible to develop a user-defined function that will give you the most likely number of significant digits for a value.

Function SigFigs(rng As Range, Optional iType As Integer = 1)
    'iType = 1 is Min
    'iType = 2 is Max

    Dim rCell As Range
    Dim sText As String
    Dim sText2 As String
    Dim iMax As Integer
    Dim iMin As Integer
    Dim iDec As Integer
    Dim i As Integer

    Application.Volatile
    Set rCell = rng.Cells(1)

    'if not a number then error
    If Not IsNumeric(rCell) Or IsDate(rCell) Then
        SigFigs = CVErr(xlErrNum)
        Exit Function
    End If

    sText2 = Trim(rCell.Text)
    sText = ""
    'find position of decimal point (it matters)
    iDec = InStr(sText2, ".")

    'strip out any non-numbers (including decimal point)
    For i = 1 To Len(sText2)
      If Mid(sText2, i, 1) >= "0" And _
        Mid(sText2, i, 1) <= "9" Then _
        sText = sText & Mid(sText2, i, 1)
    Next

    'remove any leading zeroes (they don't matter)
    While Left(sText, 1) = "0"
        sText = Mid(sText, 2)
    Wend
    iMax = Len(sText)

    'strip trailing zeroes (they don't matter if no decimal point)
    sText2 = sText
    If iDec = 0 Then
        While Right(sText2, 1) = "0"
            sText2 = Left(sText2, Len(sText2) - 1)
        Wend
    End If
    iMin = Len(sText2)

    'return Min or Max
    Select Case iType
        Case 1
            SigFigs = iMin
        Case 2
            SigFigs = iMax
        Case Else
            SigFigs = CVErr(xlErrNum)
    End Select
End Function

You call this function by using the following in your worksheet:

=SigFigs(A1, x)

You can replace x with either 1 or 2. If you specify 1, then the function returns the minimum number of significant digits. If you specify 2, then the function returns the maximum number of significant digits. In most cases the two possible return values will be the same, except with values that are whole numbers, without a trailing decimal point, that have trailing zeroes. In other words, if you use the function to evaluate the number 1234000, then the minimum (x is 1) returns 4 and the maximum (x is 2) returns 7.

The function takes into consideration how the number appears in the worksheet, meaning that it matters how the number is formatted. It strips out any formatting characters, such as negative signs, parentheses, and commas.

Note:

If you would like to know how to use the macros described on this page (or on any other page on the ExcelTips sites), I've prepared a special page that includes helpful information. Click here to open that special page in a new browser tab.

ExcelTips is your source for cost-effective Microsoft Excel training. This tip (10976) applies to Microsoft Excel 2007, 2010, 2013, 2016, 2019, and Excel in Office 365. You can find a version of this tip for the older menu interface of Excel here: Finding the Number of Significant Digits.

Author Bio

Allen Wyatt

With more than 50 non-fiction books and numerous magazine articles to his credit, Allen Wyatt is an internationally recognized author. He is president of Sharon Parq Associates, a computer and publishing services company. ...

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Comments

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What is six more than 1?

2021-03-21 10:31:02

J. Woolley

@Pablo
Instead of a macro, you should use a custom number format like 0.000000 (for six digits after the decimal).
See https://exceljet.net/custom-number-formats
or https://www.thespreadsheetguru.com/blog/excel-custom-number-format-rules
or https://customformats.com/

https://sites.google.com/view/MyExcelToolbox/


2021-03-20 21:21:39

Pablo Aguirre

I'm a high school astronomy teacher. I'm using Excel to do calculations for my students. I want them to be acquainted with various scientific laws that affect astronomical bodies such as Newton's Law of Gravitation. However, Excel is difficult to work because of significant figures. It drops trailing zeros after the decimal. I was pleased to see your macro. I have very little VBA or macro skills. I have enough to use your macro. Thank you for making it available. However, Excel continues to drop the trailing zeros, even though the comments in the macro seem to indicate that the trailing zeros after the decimal will be kept. If you can provide some help I would be very grateful.
Sincerely,
Pablo Aguirre


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