Formula Forensics No. 005 – Zebras and Checker-Boards

Share

Facebook
Twitter
LinkedIn

This week in Formula Forensics we’ll look at, Zebra Stripes and Checker-board Conditional Formatting.

This idea is inspired by a number of posts over the past few years asking about zebra stripes but specifically BobR who in in June 2011, also asked about Checkerboards in the post: Want to be an excel conditional-formatting Rock Star, Comment No. 154.

I got the conditional format for alternating row and column colors,

Is there a conditional format to make it a checkerboard whereas the cell A2 will remove either the conditional for the row or column and then alternately to A4, B1, B3 etc?


Chandoo responded fairly quickly with this Conditional Formatting formula:

=IF(MOD(ROW(),2)=1,MOD((ROW()-1)*8+COLUMN(),2)=0,MOD((ROW()-1)*8+COLUMN(),2)=1)

Unbeknownst to Chandoo I posted this about a minute later:

=ISODD(ROW()+COLUMN())

Both formula correctly answer BobR’s question.

So today we’re going to pull apart Zebra Stripes and Checker Boards and see what makes them tick.

As always you can follow along in a download file here: Download File.

 

ZEBRA STRIPES

Zebra Stripes as Conditional Formatting is simply applied using a simple formula within Conditional Formatting.

=MOD(ROW(),2)=0

Conditional Formatting requires a formula that returns a boolean “True” to apply a format or a Boolean “False” to not Apply a format.

So the formula is better read as: If MOD(ROW(),2)=0

And  If MOD(ROW(),2)=0, the formula will evaluate as True

This is best evaluated as 3 columns on a worksheet.

In cells

B5:B10 The formula =Row() returns the Row Number

C5:C10 The formula =Mod(Row() ,2) returns the Mod of Row Number, divided by 2

The Mod function returns the remainder of the division of the Row Number divided by 2,

So in Row 5, Mod(Row(),2) = Mod(5, 2) = 5/2 = 2 Remainder 1 = 1

and in Row 6, Mod(Row(),2) = Mod(6, 2) = 6/2 = 3 Remainder 0 = 0

D5:D10 The formula =Mod(Row() ,2)=0 checks the remainder against the value 0

This is what evaluates to either True or False depending on the Row number.

Where the Values are True the Format will be applied (Even Rows)

The Conditional Formatting can be applied to Odd Rows If the Formula is slightly altered

=Mod(Row() ,2)=1

 

Similarly the formatting can be applied to Columns using

=MOD(COLUMN(),2)=0/1

 

 

CHECKER BOARDS

RobR received two responses to his Checker-Board Conditional Formatting request.

=IF(MOD(ROW(),2)=1,MOD((ROW()-1)*8+COLUMN(),2)=0,MOD((ROW()-1)*8+COLUMN(),2)=1)

and

=ISODD(ROW()+COLUMN())

Lest see what’s inside these two formula.

 

=IF(MOD(ROW(),2)=1,MOD((ROW()-1)*8+COLUMN(),2) =0, MOD( (ROW() -1)*8+COLUMN(),2)=1)

This is a simple If Formula with 3 components

=IF(MOD(ROW(),2)=1,MOD((ROW()-1)*8+COLUMN(),2)=0,MOD((ROW()-1)*8+COLUMN(),2)=1)

If Condition        MOD(ROW(),2)=1

Value if True:     MOD((ROW()-1)*8+COLUMN(),2)=0

Value if False:    MOD((ROW()-1)*8+COLUMN(),2)=1

The If Condition is already known to us, as it’s the same formula used in the Zebra Stripes above.

It evaluates to True when it is on an Odd Row.

So when it is an Odd numbered Row Excel will look at MOD((ROW()-1)*8+COLUMN(),2)=0

And when it is an Even numbered Row Excel will look at MOD((ROW()-1)*8+COLUMN(),2)=1

We can notice that these are the same formulas which have a different ending of =0 and =1

MOD((ROW()-1)*8+COLUMN(),2)=0

This section Takes each Row subtracts 1 and then multiplies this number by 8. This can be expressed as simply as saying multiply the Row * 8.

This will always return an Even Number and could have been simplified to Row()*2

MOD((ROW()-1)*8+COLUMN(),2)=0

The next bit adds the column number to the previous Even Number.

So now this part will be Odd when the column is Odd and Even when the column is Even.

MOD((ROW()-1)*8+COLUMN(),2)=0

The remainder of the formula is the same as the Zebra Stripes formula.

An Odd Number (Odd Columns) in the section above will return a 1 as the result of =Mod(Odd,2)

An Even Number (Even Columns) in the section above will return a 0 as the result of =Mod(Odd,2)

When evaluated against 0 will return True for Even Columns and False for Odd Columns.

Now the exact same happens in the False section of the If formula except that it is evaluated against 1.

 

=ISODD(ROW()+COLUMN())

I tackled this problem from a different direction to Chandoo.

Knowing that Even + Even = Even and Even + Odd = Odd and that the row and Column Numbers increase in each direction by 1 each Row/Column, it was simply a matter of adding the Row and Column numbers together and checking if it was Odd or Even

The Excel function IsOdd() and IsEven() both return a Boolean “True” if the contents are Odd or “Even” respectively. This negates an external truth check as described above.

This is easily shown by adding a formula to the Checker area

=Row()+Column()

Excel 2003: The above formula won’t work in Excel 2003.

Try this instead =Mod(Row()+Column(),2)=1


If the alternate shading is required a switch to

=ISEVEN(ROW()+COLUMN())

Does the trick.

Excel 2003: The above formula won’t work in Excel 2003.

Try this instead =Mod(Row()+Column(),2)=0


Learn More About Conditional Formatting Here:

http://chandoo.org/wp/2009/03/13/excel-conditional-formatting-basics/

and

http://chandoo.org/wp/2008/03/13/want-to-be-an-excel-conditional-formatting-rock-star-read-this/

and

http://chandoo.org/wp/2008/10/14/more-than-3-conditional-formats-in-excel/

 

DOWNLOAD

You can download a copy of the above file and follow along, Download Here.

 

OTHER POSTS IN THIS SERIES

You can learn more about how to pull Excel Formulas apart in the following posts

Formula Forensics 001 – Tarun’s Problem

Formula Forensics 002 – Joyce’s Question

Formula Forensics 003 – Lukes Reward

Formula Forensics 004 – Freds Problem

 

We Need Your Help !

If you have a neat formula that you would like to share and explain, try putting pen to paper and draft up a Post as Luke did in Formula Forensics 003. or this post.

If you have a formula that you don’t understand and would like explained but don’t want to write a post also send it in to Chandoo or Hui.

 

 

 

Facebook
Twitter
LinkedIn

Share this tip with your colleagues

Excel and Power BI tips - Chandoo.org Newsletter

Get FREE Excel + Power BI Tips

Simple, fun and useful emails, once per week.

Learn & be awesome.

Welcome to Chandoo.org

Thank you so much for visiting. My aim is to make you awesome in Excel & Power BI. I do this by sharing videos, tips, examples and downloads on this website. There are more than 1,000 pages with all things Excel, Power BI, Dashboards & VBA here. Go ahead and spend few minutes to be AWESOME.

Read my storyFREE Excel tips book

Overall I learned a lot and I thought you did a great job of explaining how to do things. This will definitely elevate my reporting in the future.
Rebekah S
Reporting Analyst
Excel formula list - 100+ examples and howto guide for you

From simple to complex, there is a formula for every occasion. Check out the list now.

Calendars, invoices, trackers and much more. All free, fun and fantastic.

Advanced Pivot Table tricks

Power Query, Data model, DAX, Filters, Slicers, Conditional formats and beautiful charts. It's all here.

Still on fence about Power BI? In this getting started guide, learn what is Power BI, how to get it and how to create your first report from scratch.

24 Responses

  1. I’d suggest simply using the subtotal function and filtering the data using the Win/Loss column.  You get the same results and the formula is more comprehensible.

    1. @John

      That is one option.

      There are times however when you want to see the whole data table or a filtered subset and still want to produce summary reports against an unfiltered field.

  2. Is there a particular reason why you are using a comma and the unary (–) operator for the second array in the SUMPRODUCT formula?  It seems to work the same if you were to string the arrays together using the asterisk (*).  The advantage is that SUMPRODUCT treats the entire string of arrays as a single array.

  3. Is there a way to do this on a large set of data? As in ~100,000 rows? When I try I get an error because the formula becomes too long. It says the max length of a formula is 8,192 characters. Excel 2010.

  4. How do I incorporate a specific text within a cell for the second array. For instance, – -(C7:C13=”Apple”)
    when I chose a specific text the formula does not work.

    1. @RB

      I am not sure what is the issue as if I use the sample data in the post the following work fine

      Count:
      =SUMPRODUCT(SUBTOTAL(3,OFFSET(C7:C13,ROW(C7:C13)-MIN(ROW(C7:C13)),,1)), –(C7:C13=”L”))
      Sum:
      =SUMPRODUCT(SUBTOTAL(3,OFFSET(C7:C13,ROW(C7:C13)-MIN(ROW(C7:C13)),,1)),(C7:C13=”L”)*(D7:D13))

      You may want to check that there are no leading or trailing spaces in your list of Apples

      1. I should have given a better explanation. Heres my situation. I have a column with cells filled with names like Column 1, Column 2, Pier 1, Pier 2, etc. If the cell just contained Pier and searched for that it works. But because it has other characters in the cell its not recognizing the pier. So how can I extract specific characters of a string of text in this formula?

        Hopefully this was a better explanation

  5. Hello-

    This formula works pretty well for me except that it slow down excel and prevents some of my macros from working. I was wondering if there was a way to program this in VBA so that excel isn’t always trying to recalculate it. I would like to use a push of a button to get it to run then paste in a cell.

    Thanks!

  6. I am trying to sum filtered data in a column, but would want to ignore the negative values in the column. How to go about doing this?

      1. The negative values are required for reporting purposes, but their effect on the total is distorting the required output. Please advise.

  7. I have this working for counting and summing, however, I have a list and for the second array, I need a criteria. That is, I’m looking for b13:b200=”01.??.??” or =left((a1,2) or something like that. These types of criteria matches do not appear to work as I get a blank as a result.
    Thanks!

    1. @Bob

      As your formula b13:b200=”01.??.??” looks like you are trying to check the first day of the month of the range
      What about trying Day(B13:B200)=1

  8. Hai Experts,
    i understood this formula well and working fine in MS Excel 2013
    but when the same am trying to place in google Spreadsheet it shows error as
    “SUMPRODUCT has mismatched range sizes. Expected row count: 1. column count: 1. Actual row count: 2014, column count: 1.” and as a result #VALUE! Appears in cell.
    Can anyone please help me how would i get it done in Google Spread sheet
    or is there any other formula as a substitute for this.
    Thank you very much.

    1. @Vivek

      I don’t know

      I just downloaded the file and it is working fine and not showing that error

      Goto the Formulas, Calculation Options Tab and check that Calculation is set to Automatic

      What version of Excel and Windows are you using ?

  9. I know that this forum is for MS Excel, but I am trying to help someone who is working in Google Sheets. The below formula works in Excel but Google Sheets returns:
    “SUMPRODUCT has mismatched range sizes. Expected row count: 1. column count: 1. Actual row count: 39000, column count: 1.” and as a result #VALUE! Appears in cell.
    This is the same problem asked by Srichirin above. Does anyone know if there is a formula for Google Sheets that will replicate what MS Excel does?

    =SUMPRODUCT(SUBTOTAL(3,OFFSET($C$6:$C$39500,ROW($C$6:$C$39500)-MIN(ROW($C$6:$C$39500)),,1)),- -($C$6:$C$39500=H1),($D$6:$D$39500))

  10. Trying to find a SUMPRODUCT formula that counts the word Closed by date for the last 7 days in a filtered list.
    =COUNTIF(M:M,”>”&TODAY()-7) works ok for unfiltered count Column M contains Closure dates (blank if open) and Column L is Status Open or Closed

  11. I used this formula and worked like a charm! But, now I’ve been requested to use it but adding not one but two criteria in the same formula. For instance the sum I was doing added negative and positive numbers. I’ve been asked to use the exact same formula but adding that only positive numbers were considered… any idea on how to do this?

  12. Thank you so much brother literally I have been struggling since morning to get the sum of the filtered category, however, after reading your blog attentively i got my solution, so thanks a lot once again.

Leave a Reply

Your email address will not be published. Required fields are marked *

This site uses Akismet to reduce spam. Learn how your comment data is processed.