Writing “Either Or” formula in Excel [Formula Howtos]

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We all know the AND, OR & NOT formulas in Excel using which you can perform simple logical operations And, Or & Negate. But what if you are the chief of HR at ACME Company, where they have a strange rule on extra allowance like this:

Either Or formula in Excel - howto?

Now, to calculate the dates in a month that meet this clause, we need an “exclusive OR” formula or what geeks call as “XOR” operation.

Wikipedia defines XOR as,

The logical operation … exclusive or (symbolized XOR, EOR), … results in a value of true if exactly one of the operands has a value of true. A simple way to state this is “one or the other but not both.”

Now, XOR or exclusive Or is a fairly common logical test, but there is no straight forward formula to test this. Instead we have to use a lengthy combination or AND, OR and NOT formulas to arrive at XOR.

For eg. assuming you want TRUE only when one of the two logical conditions A or B is TRUE,

you have to write,

=OR(AND(NOT(A),B),AND(A,NOT(B))) [Afterall, that is how XOR operation is defined to begin with]

Now, that seems like an awful formula. May be there is a better formula after all?!? One that is less crazier than the HR clause of ACME Co.

Well, there is.

If you observe closely, XOR is nothing but <> (not equal to sign). So, instead of going nuts writing the lengthy ANDORNOT combination, you can simplify the formula to,

=A<>B and it gives the same outcome.

So, the formula to find whether a given date (in cell A1) qualifies for bonus allowance,

=IF((WEEKDAY(A1)=6)<>(MOD(DAY(A1),5)=0),"Pay Bonus","Pay Regular")

More about logical formulas in Excel

AND Formula | OR Formula | NOT Formula | 51 common excel formulas

Do you XOR in real life?

There have been few occasions when I had to XOR in my worksheets. I found that writing the correct formula can be a bit tricky depending on how crazy the rule is. But almost always a combination of <>, NOT, AND and OR worked for me well.

What about you? Do you write formulas that involve complex IF clauses?

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17 Responses to “Custom Number Formats – Colors”

  1. Duncan says:

    You are right, Chandoo. I was playing with the colour numbers last week and some of them don't appear different from each other. Others are totally different from yours.

  2. Hui... says:

    @Duncan
    Each version of Excel, post 2003, renders colors slightly differently
    Different language versions may also have different default color palettes

  3. polo says:

    Hello in french
    excel 2010
    colo1 = couleur1 = black
    [couleur1]; [couleur2]; etc..

  4. Andras Ujszaszy says:

    @Hui, thank you very much again for this great post.
    However - under Excel 2007, Hungarian version your solution does not work with color names. I've tried both English and Hungarian names, but drops an error message "not valid formats"

    Do you have any idea how to solve this issue?
    thanks in advance

    • Hui... says:

      @Andras

      Without a Hungarian version of Excel 2003 I don't think I can assist

    • Sarah says:

      Have you tried using the colour numbers? I couldn't get the names to work (despite using an english version of excel). but it did work with the numbers though. I left out the "u" and was easily able to produce burgundy using [color9]

    • Florinel says:

      Here a possible solution: find an English version of Excel, write there the formats using English names, then open the file in the Hungarian version and see the translation.

  5. Nigel says:

    In Excel 2007 I can't get the colour names to work e.g Sea Green but the numbers do e.g color3 - colour3 does not work so I must bow to the country that has stolen my language (ha ha!)

  6. Hey chandoo, nice Tip!
    Wouldn't be easier just apply some conditional formatting for negative numbers and another for positive numbers? Or there's some cases that you can't do that?

  7. Unfortunately the TEXT function doesn't color the cell as number formatting does.

  8. Khalid NGO says:

    Hi Hui,
    Great post Sir, love the new way of formatting with color numbers.
    I am using 2007, and it leads me to the last color number 56.

    Thanks Hui.

  9. […] explains how to set up custom number formats with a wide array of […]

  10. Colin says:

    Thanks Hui - works a treat!

  11. John Smith says:

    Thank you, very helpful.
    Trying to figure out if it is possible to apply color only to a part of the cell?

    E.g. I have a value formatted as Accounting with a currency symbol.
    Those I find somewhat distracting though necessary. If I could make them less obtrusive by coloring them gray while the number would stay black, that would be great. Tried tinkering with the format string, but didn't get the desired result. Single color for complete cell value works, but coloring just part of it could not be achieved. Maybe somebody managed that?

  12. Shaun says:

    Exactly what I was looking for - thank you!

  13. colour in the Australian doesn't work - we have to go American and no problem.
    I always thought is was 56 colours notice you have 57. Cool.

    thanks
    Analir Pisani
    Customised Microsoft Office Training Specialist
    Sydney - Australia
    http://www.azsolutions.com.au

  14. Me Myself says:

    Thank You!

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