Please Note: This article is written for users of the following Microsoft Excel versions: 97, 2000, 2002, and 2003. If you are using a later version (Excel 2007 or later), this tip may not work for you. For a version of this tip written specifically for later versions of Excel, click here: Finding the Number of Significant Digits.
Written by Allen Wyatt (last updated June 21, 2018)
This tip applies to Excel 97, 2000, 2002, and 2003
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 digits in a value, less 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:
http://excel.tips.net/T001983
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.
Please Note:
This article is written for users of the following Microsoft Excel versions: 97, 2000, 2002, and 2003. If you are using a later version (Excel 2007 or later), this tip may not work for you. For a version of this tip written specifically for later versions of Excel, click here:
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:
ExcelTips is your source for cost-effective Microsoft Excel training. This tip (10975) applies to Microsoft Excel 97, 2000, 2002, and 2003. You can find a version of this tip for the ribbon interface of Excel (Excel 2007 and later) here: Finding the Number of Significant Digits.
Solve Real Business Problems Master business modeling and analysis techniques with Excel and transform data into bottom-line results. This hands-on, scenario-focused guide shows you how to use the latest Excel tools to integrate data from multiple tables. Check out Microsoft Excel 2013 Data Analysis and Business Modeling today!
Excel can check the data and formulas in your worksheet to see if it detects any errors. The rules used for this checking ...
Discover MoreYou can add audio files to an Excel worksheet, but what if you want a particular audio file to play only when a value in ...
Discover MoreNeed to test your formulas? Then you need some testing data that you can use to see if the formulas function as you ...
Discover MoreFREE SERVICE: Get tips like this every week in ExcelTips, a free productivity newsletter. Enter your address and click "Subscribe."
2018-05-21 08:20:20
P.s. @ Rick
You might want to post again your full comment with the modified URL here, at the XL 2007+ version of Allen's Tip:
excelribbon.tips.net/T010976_Finding_the_Number_of_Significant_Digits
2018-05-21 07:46:38
Worked - got posted straight away
:)
2018-05-21 07:45:03
@ Rick, Hi Rick. Re the posting problem..
That sort of thing happens a lot to me here and elsewhere. People are becoming more careful about links being posted.
I have found the best workaround is to post a link without the first h t t p s and w w w and or c o m part. Most browsers will find straight away the link if you try it without that first bit. It seems that most spam filters just look for that first bit.
Usually works .. I will try it here and see …
excelfox.com/forum/showthread.php/2004-Thinking-About-Using-VBA-s-IsNumeric-Function-Read-this-first
Alan
2018-05-20 18:04:34
Rick Rothstein
The above comment by me appears to be "unreadable". The comment includes a URL to my mini-blog site on the ExcelFox forum (article title "Thinking About Using VBA's IsNumeric Function? Read this first.") which made the comment look like SPAM and forced it to be "moderated". Apparently Allen approved the comment, but all the formatting disappeared when he let the comment get posted. I am assuming if I post the same comment without the URL, it will post correctly formatted immediately, so below is the comment I made above (without the URL) which I hope posts properly formatted...
There are some "problems" with the SigFigs function in the above article. First off, it uses VB's IsNumeric function to proof whether a text value is a real number or not. For example, the SigFigs function returns the following numbers for the following values in cells formatted as Text...
&HEAD ==> 3
&7654 ==> 4
123D45 ==> 5
($1,23,,3.4,,,5,,E67$) ==> 8
In this mini-blog article of mine, I explain why that is not necessarily a good thing to use IsNumeric for that purpose...
URL omitted (you should be able to find it in my first post if you search for it)
I also noticed the following evaluations by the SigFigs function which also produce answers that I do not agree with. First, numbers that Excel converts to E-notation when entered into a cell or the Formula Bar...
123456000000 ==> 8
0.00000012345 ==> 7
0.0000000012 ==> 5
Second, some floating point numbers when entered into a cell formatted as Text... I have not delved into the code to see why, I am simply noting the problem. Here are some examples all of which return a #NUM! error from the function... 1.2, 1.09, 12.34, 10.002, etc. I would note that there are lots of examples of floating point numbers entered into Text formatted cells that work correctly.
Now, of course, I have my own SigFigs function to offer which is more compact, uses no loops and handles the above noted problems correctly (as far as my limited testing is able to confirm)...
Function SigFigs(Rng As Range, Optional iType As Long = 1)
Dim S As String
Application.Volatile
S = Trim(Replace(Replace(Split(Rng.Text, "E", , vbTextCompare)(0), "$", ""), "%", ""))
If Not S Like "*[!0-9.+-]*" And Not S Like "*.*.*" And S <> "." Then
If iType = 1 And Not S Like "*.*" Then S = Replace(Trim(Replace(S, "0", " ")), " ", "0")
SigFigs = Len(Format(Replace(S, ".", ""), String(31, "#") & ";" & String(31, "#") & ";;"))
Else
SigFigs = CVErr(xlErrNum)
End If
End Function
2018-05-19 14:42:32
Rick Rothstein
There are some "problems" with the SigFigs function in the above article. First off, it uses VB's IsNumeric function to proof whether a text value is a real number or not. For example, the SigFigs function returns the following numbers for the following values in cells formatted as Text...&HEAD ==> 3&7654 ==> 4123D45 ==> 5($1,23,,3.4,,,5,,E67$) ==> 8In this mini-blog article of mine, I explain why that is not necessarily a good thing to use IsNumeric for that purpose...http://www.excelfox.com/forum/showthread.php/2004-Thinking-About-Using-VBA-s-IsNumeric-Function-Read-this-firstI also noticed the following evaluations by the SigFigs function which also produce answers that I do not agree with. First, numbers that Excel converts to E-notation when entered into a cell or the Formula Bar...123456000000 ==> 80.00000012345 ==> 70.0000000012 ==> 5Second, some floating point numbers when entered into a cell formatted as Text... I have not delved into the code to see why, I am simply noting the problem. Here are some examples all of which return a #NUM! error from the function... 1.2, 1.09, 12.34, 10.002, etc. I would note that there are lots of examples of floating point numbers entered into Text formatted cells that work correctly.Now, of course, I have my own SigFigs function to offer which is more compact, uses no loops and handles the above noted problems correctly (as far as my limited testing is able to confirm)...Function SigFigs(Rng As Range, Optional iType As Long = 1) Dim S As String Application.Volatile S = Trim(Replace(Replace(Split(Rng.Text, "E", , vbTextCompare)(0), "$", ""), "%", "")) If Not S Like "*[!0-9.+-]*" And Not S Like "*.*.*" And S <> "." Then If iType = 1 And Not S Like "*.*" Then S = Replace(Trim(Replace(S, "0", " ")), " ", "0") SigFigs = Len(Format(Replace(S, ".", ""), String(31, "#") & ";" & String(31, "#") & ";;")) Else SigFigs = CVErr(xlErrNum) End IfEnd Function
Got a version of Excel that uses the menu interface (Excel 97, Excel 2000, Excel 2002, or Excel 2003)? This site is for you! If you use a later version of Excel, visit our ExcelTips site focusing on the ribbon interface.
FREE SERVICE: Get tips like this every week in ExcelTips, a free productivity newsletter. Enter your address and click "Subscribe."
Copyright © 2023 Sharon Parq Associates, Inc.
Comments