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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11 Responses to “Fix Incorrect Percentages with this Paste-Special Trick”

  1. Martin says:

    I've just taught yesterday to a colleague of mine how to convert amounts in local currency into another by pasting special the ROE.

    great thing to know !!!

  2. Tony Rose says:

    Chandoo - this is such a great trick and helps save time. If you don't use this shortcut, you have to take can create a formula where =(ref cell /100), copy that all the way down, covert it to a percentage and then copy/paste values to the original column. This does it all much faster. Nice job!

  3. Jody Gates says:

    I was just asking peers yesterday if anyone know if an easy way to do this, I've been editing each cell and adding a % manually vs setting the cell to Percentage for months and just finally reached my wits end. What perfect timing! Thanks, great tip!

  4. Jon S says:

    If it's just appearance you care about, another alternative is to use this custom number format:
    0"%"

    By adding the percent sign in quotes, it gets treated as text and won't do what you warned about here: "You can not just format the cells to % format either, excel shows 23 as 2300% then."

    • Steven Peters says:

      Dear Jon S. You are the reason I love the internet. 3 year old comments making my life easier.

      Thank you.

  5. Jon Peltier says:

    Here is a quicker protocol.

    Enter 10000% into the extra cell, copy this cell, select the range you need to convert to percentages, and use paste special > divide. Since the Paste > All option is selected, it not only divides by 10000% (i.e. 100), it also applies the % format to the cells being pasted on.

  6. Chandoo says:

    @Martin: That is another very good use of Divide / Multiply operations.

    @Tony, @Jody: Thank you 🙂

    @Jon S: Good one...

    @Jon... now why didnt I think of that.. Excellent

  7. sajith says:

    Thank You so much. it is really helped me.

  8. Winnie says:

    Big help...Thanks

  9. Chris Fry says:

    Thanks. That really saved me a lot of time!

  10. Texas says:

    Is Show Formulas is turned on in the Formula Ribbon, it will stay in decimal form until that is turned off. Drove me batty for an hour until I just figured it out.

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