Excel logical operators: equal to, not equal to, greater than, less than

Many tasks you perform in Excel involve comparing data in different cells. For this, Microsoft Excel provides six logical operators, which are also called comparison operators. This tutorial aims to help you understand the insight of Excel logical operators and write the most efficient formulas for your data analysis.

Excel logical operators - overview

A logical operator is used in Excel to compare two values. Logical operators are sometimes called Boolean operators because the result of the comparison in any given case can only be either TRUE or FALSE.

Six logical operators are available in Excel. The following table explains what each of them does and illustrates the theory with formula examples.

Condition Operator Formula Example Description
Equal to = =A1=B1 The formula returns TRUE if a value in cell A1 is equal to the values in cell B1; FALSE otherwise.
Not equal to <> =A1<>B1 The formula returns TRUE if a value in cell A1 is not equal to the value in cell B1; FALSE otherwise.
Greater than > =A1>B1 The formula returns TRUE if a value in cell A1 is greater than a value in cell B1; otherwise it returns FALSE.
Less than < =A1<B1 The formula returns TRUE if a value in cell A1 is less than in cell B1; FALSE otherwise.
Greater than or equal to >= =A1>=B1 The formula returns TRUE if a value in cell A1 is greater than or equal to the values in cell B1; FALSE otherwise.
Less than or equal to <= =A1<=B1 The formula returns TRUE if a value in cell A1 is less than or equal to the values in cell B1; FALSE otherwise.

The screenshot below demonstrates the results returned by Equal to, Not equal to, Greater than and Less than logical operators:
Using Equal to, Not equal to, Greater than and Less than in Excel

It may seem that the above table covers it all and there's nothing more to talk about. But in fact, each logical operator has its own specificities and knowing them can help you harness the real power of Excel formulas.

Using "Equal to" logical operator in Excel

The Equal to logical operator (=) can be used to compare all data types - numbers, dates, text values, Booleans, as well as the results returned by other Excel formulas. For example:

=A1=B1 Returns TRUE if the values in cells A1 and B1 are the same, FALSE otherwise.
=A1="oranges" Returns TRUE if cells A1 contain the word "oranges", FALSE otherwise.
=A1=TRUE Returns TRUE if cells A1 contain the Boolean value TRUE, otherwise it returns FALSE.
=A1=(B1/2) Returns TRUE if a number in cell A1 is equal to the quotient of the division of B1 by 2, FALSE otherwise.

Example 1. Using the "Equal to" operator with dates

You might be surprised to know that the Equal to logical operator cannot compare dates as easily as numbers. For example, if the cells A1 and A2 contain the date "12/1/2014", the formula =A1=A2 will return TRUE exactly as it should.

However, if you try either =A1=12/1/2014 or =A1="12/1/2014" you will get FALSE as the result. A bit unexpected, eh?

The point is that Excel stores dates as numbers beginning with 1-Jan-1900, which is stored as 1. The date 12/1/2014 is stored as 41974. In the above formulas, Microsoft Excel interprets "12/1/2014" as a usual text string, and since "12/1/2014" is not equal to 41974, it returns FALSE.

To get the correct result, you must always wrap a date in the DATEVALUE function, like this =A1=DATEVALUE("12/1/2014")
Using Excel's equal to operator with dates

Note. The DATEVALUE function needs to be used with other logical operator as well, as demonstrated in the examples that follow.

The same approach should be applied when you use Excel's equal to operator in the logical test of the IF function. You can find more info as well as a few formula examples in this tutorial: Using Excel IF function with dates.

Example 2. Using the "Equal to" operator with text values

Using Excel's Equal to operator with text values does not require any extra twists. The only thing you should keep in mind is that the Equal to logical operator in Excel is case-insensitive, meaning that case differences are ignored when comparing text values.

For example, if cell A1 contains the word "oranges" and cell B1 contains "Oranges", the formula =A1=B1 will return TRUE.

If you want to compare text values taking in to account their case differences, you should use the EXACT function instead of the Equal to operator. The syntax of the EXACT function is as simple as:

EXACT(text1, text2)

Where text 1 and text2 are the values you want to compare. If the values are exactly the same, including case, Excel returns TRUE; otherwise, it returns FALSE. You can also use the EXACT function in IF formulas when you need a case-sensitive comparison of text values, as shown in the below screenshot:
Using the EXACT function for case-sensitive comparison of text values

Note. If you want to compare the length of two text values, you can use the LEN function instead, for example =LEN(A2)=LEN(B2) or =LEN(A2)>=LEN(B2).

Example 3. Comparing Boolean values and numbers

There is a widespread opinion that in Microsoft Excel the Boolean value of TRUE always equates to 1 and FALSE to 0. However, this is only partially true, and the key word here is "always" or more precisely "not always" : )

When writing an 'equal to' logical expression that compares a Boolean value and a number, you need to specifically point out for Excel that a non-numeric Boolean value should be treated as a number. You can do this by adding the double minus sign in front of a Boolean value or a cell reference, e. g. =A2=--TRUE or =A2=--B2.

The 1st minus sign, which is technically called the unary operator, coerces TRUE/FALSE to -1/0, respectively, and the second unary negates the values turning them into +1 and 0. This will probably be easier to understand looking at the following screenshot:
Comparing Boolean values and numbers

Note. You should add the double unary operator before a Boolean when using other logical operators such as not equal to, greater than or less than to correctly compare a numeric and Boolean values.

When using logical operators in complex formulas, you might also need to add the double unary before each logical expression that returns TRUE or FALSE as the result. Here's an example of such a formula: SUMPRODUCT and SUMIFS in Excel.

Using "Not equal to" logical operator in Excel

You use Excel's Not equal to operator (<>) when you want to make sure that a cell's value is not equal to a specified value. The use of the Not equal to operator is very similar to the use of Equal to that we discussed a moment ago.

The results returned by the Not equal to operator are analogous to the results produced by the Excel NOT function that reverses the value of its argument. The following table provides a few formula examples.

Not equal to operator NOT function Description
=A1<>B1 =NOT(A1=B1) Returns TRUE if the values in cells A1 and B1 are not the same, FALSE otherwise.
=A1<>"oranges" =NOT(A1="oranges") Returns TRUE if cell A1 contains any value other than "oranges", FALSE if it contains "oranges" or "ORANGES" or "Oranges", etc.
=A1<>TRUE =NOT(A1=TRUE) Returns TRUE if cell A1 contains any value other than TRUE, FALSE otherwise.
=A1<>(B1/2) =NOT(A1=B1/2) Returns TRUE if a number in cell A1 is not equal to the quotient of the division of B1 by 2, FALSE otherwise.
=A1<>DATEVALUE("12/1/2014") =NOT(A1=DATEVALUE("12/1/2014")) Returns TRUE if A1 contains any value other than the date of 1-Dec-2014, regardless of the date format, FALSE otherwise.

Greater than, less than, greater than or equal to, less than or equal to

You use these logical operators in Excel to check how one number compares to another. Microsoft Excel provides 4 comparison operates whose names are self-explanatory:

  • Greater than (>)
  • Greater than or equal to (>=)
  • Less than (<)
  • Less than or equal to (<=)

Most often, Excel comparison operators are used with numbers, date and time values. For example:

=A1>20 Returns TRUE if a number in cell A1 is greater than 20, FALSE otherwise.
=A1>=(B1/2) Returns TRUE if a number in cell A1 is greater than or equal to the quotient of the division of B1 by 2, FALSE otherwise.
=A1<DATEVALUE("12/1/2014") Returns TRUE if a date in cell A1 is less than 1-Dec-2014, FALSE otherwise.
=A1<=SUM(B1:D1) Returns TRUE if a number in cell A1 is less than or equal to the sum of values in cells B1:D1, FALSE otherwise.

Using Excel comparison operators with text values

In theory, you can also use the greater than, greater than or equal to operators as well as their less than counterparts with text values. For example, if cell A1 contains "apples" and B1 contains "bananas", guess what the formula =A1>B1 will return? Congratulations to those who've staked on FALSE : )

When comparing text values, Microsoft Excel ignores their case and compares the values symbol by symbol, "a" being considered the lowest text value and "z" - the highest text value.

So, when comparing the values of "apples" (A1) and "bananas" (B1), Excel starts with their first letters "a" and "b", respectively, and since "b" is greater than "a", the formula =A1>B1 returns FALSE.

If the first letters are the same, then the 2nd letters are compared, if they happen to be identical too, then Excel gets to the 3rd, 4th letters and so on. For example, if A1 contained "apples" and B1 contained "agave", the formula =A1>B1 would return TRUE because "p" is greater than "g".
Using Excel comparison operators with text values

At first sight, the use of comparison operators with text values seems to have very little practical sense, but you never know what you might need in the future, so probably this knowledge will prove helpful to someone.

Common uses of logical operators in Excel

In real work, Excel logical operators are rarely used on their own. Agree, the Boolean values TRUE and FALSE they return, though very true (excuse the pun), are not very meaningful. To get more sensible results, you can use logical operators as part of Excel functions or conditional formatting rules, as demonstrated in the below examples.

1. Using logical operators in arguments of Excel functions

When it comes to logical operators, Excel is very permissive and allows using them in parameters of many functions. One of the most common uses is found in Excel IF function where the comparison operators can help to construct a logical test, and the IF formula will return an appropriate result depending on whether the test evaluates to TRUE or FALSE. For example:

=IF(A1>=B1, "OK", "Not OK")

This simple IF formula returns OK if a value in cell A1 is greater than or equal to a value in cell B1, "Not OK" otherwise.

And here's another example:

=IF(A1<>B1, SUM(A1:C1), "")

The formula compares the values in cells A1 and B1, and if A1 is not equal to B1, the sum of values in cells A1:C1 is returned, an empty string otherwise.

Excel logical operators are also widely used in special IF functions such as SUMIF, COUNTIF, AVERAGEIF and their plural counterparts that return a result based on a certain condition or multiple conditions.

You can find a wealth of formula examples in the following tutorials:

2. Using Excel logical operators in mathematical calculations

Of course, Excel functions are very powerful, but you don't always have to use them to achieve the desired result. For example, the results returned by the following two formulas are identical:

IF function: =IF(B2>C2, B2*10, B2*5)

Formula with logical operators: =(B2>C2)*(B2*10)+(B2<=C2)*(B2*5)
Using Excel logical operators in mathematical calculations

I guess the IF formula is easier to interpret, right? It tells Excel to multiply a value in cell B2 by 10 if B2 is greater than C2, otherwise the value in B1 is multiplied by 5.

Now, let's analyze what the 2nd formula with the greater than and less than or equal to logical operators does. It helps to know that in mathematical calculations Excel does equate the Boolean value TRUE to 1, and FALSE to 0. Keeping this in mind, let's see what each of the logical expressions actually returns.

If a value in cell B2 is greater than a value in C2, then the expression B2>C2 is TRUE, and consequently equal to 1. On the other hand, B2<=C2 is FALSE and equal to 0. So, given that B2>C2, our formula undergoes the following transformation:
Formula with logical operators

Since any number multiplied by zero gives zero, we can cast away the second part of the formula after the plus sign. And because any number multiplied by 1 is that number, our complex formula turns into a simple =B2*10 that returns the product of multiplying B2 by 10, which is exactly what the above IF formula does : )

Obviously, if a value in cell B2 is less than in C2, then the expression B2>C2 evaluates to FALSE (0) and B2<=C2 to TRUE (1), meaning that the reverse of the described above will occur.

3. Logical operators in Excel conditional formatting

Another common use of logical operators is found in Excel Conditional Formatting that lets you quickly highlight the most important information in a spreadsheet.

For example, the following simple rules highlight selected cells or entire rows in your worksheet depending on a value in column A:

Less than (orange): =A1<5

Greater than (green): =A1>20
Using logical operator in Excel conditional formatting

For the detailed-step-by-step instructions and rule examples, please see the following articles:

As you see, the use of logical operators in Excel is intuitive and easy. In the next article, we are going to learn the nuts and bolts of Excel logical functions that allow performing more than one comparison in a formula. Please stay tuned and thank you for reading!

1256 comments

  1. Hoping someone can help me with an equation for a cell to equal the lesser of two values. the values are 10% of a full value and the second is 5% of full value.eg
    eg i want to hold 10% of claim value upto 50% of contract value, or 5% of contract value whichever is the lesser

  2. My requirement is that, IF A1 is equal to or less than X % of C1, then the result should be 2 times of B1, OR, IF A1 is greater than or equal to Y% of C1 but equal to or lesser than Z% of C1 then the result should be 3 times of B1. Please explain the command I should give in an EXCEL Worksheet.

  3. Please help me to make formula
    Condition:
    • Less than or equal to +0.002 = Passed
    • Greater than or equal to -0.002 = Passed
    • Greater than or equal to +0.003 = Failed
    • Less than or equal to -0.003 = Failed

  4. i search this:

    =if(L4=FALSE;G4;0)IF(L4=FALSE(AND=B4="testing";F4-G4;0))

    So is "false" then "0" but is L4 False AND B4 TESTING then he (F4-G4)

    but not work this, anyone help me?

    • Hello!
      If I understand your task correctly, the following formula should work for you:

      =IF(AND(L4=FALSE,B4="testing"),F4-G4,IF(L4=FALSE,G4,0))

      I hope this will help

      • somebody help me using excel formula pls
        1-10cum=80
        11-15=8/cu.m
        16cu.m.up =8.50

          • USING logical operation sir. 1-10 cu.m equivalent of 80pesos,in excess of 11-15 is equivalent of 8 per cu.m. in excess in 16 up cu.m 8.50 per cu.m.
            it will be use this one of our water billing

            • Hello!
              You don't need to use a logical operation here. Your explanations are not very clear, but I tried to guess.
              Try the following formula:

              =MIN(1,C1)*80+MAX(0,C1-16)*8.5+MAX(0,MAX(0,C1-MAX(0,C1-16))-10)*8

              Hope this is what you need.

              • THANK YOU SIR, BUT I HAVE ONE PROBLEM I CANNOT COMPUTE THE CUBIC METER AFTER 16 to up?
                16-up is 8.50 per cubic.

                sample
                16 cu,meter =128.50
                17 cu.meter = 137
                18 cu.meter =145.50

              • Thank you so much sir, ...
                god bless you always team

  5. Hi,
    the particular cell 'A' contains number less than 0 to 100, if cell A <=0, B cell should reads "GOOD", if Cell A reads 1 to 7 days Cell B should reads "AVERAGE", if Cell A reads 8 to 15 days than Cell B should reads "BAD".

    Please help.

  6. These are relational operators, not logical operators. Logical operators are OR, AND, NOT, XOR etc.

  7. Hello. I have trouble inserting the function as excel stated that I have too many arguements.
    I4- Type of cab used, C3 - Taxi, I5 - Distance Travelled in KM, C5= $0.22, C6 = $0.18
    IF((AND(I4=C3,I510,I5<=20)),((C5/0.4)*10)+((C6/0.35)*(I5-10)),,)

    I am trying to create a simple calculator for taxi fare but I am not sure if the IF function is even the right function to use. Hoping you could help me out. Thanks!

    • Hello!
      If I understand your task correctly, the following formula should work for you:

      =IF(AND(I4=C3,I5<10,I5<=20),C5/0.4*10+C6/0.35*(I5-10),0)

      I hope it’ll be helpful.

  8. I have an excel sheet with data on the amount of donations a person gave for 3 specific years.
    Is there a formula/function that can look at the 3 rows, and output if there was an increase/decrease/remained the same between the years?
    For example: if i have:
    2017 = 100 or 50
    2018 = 150 or 100
    2019 = 50 or 150
    -> a formula that can be used to say "this person increased donation amount over the years" or "there was an increase, but then a decrease in donations"

    • Hello!
      Explain what does your baseline mean? What does "100 or 50" mean? It is not a number, but a text. It cannot be compared.Give an example of the source data and the expected result.

  9. I have looked through all of the comments and questions and have not seen mine. I am wanted the take the higher value of 2 numbers and add it to the rest of the sum of a list of numbers I wrote it a as =IF(a1b1, sum(c1:f1)""), I have left something out some where.

    • Hello Miranda!
      If I got you right, the formula below will help you with your task:

      =SUM(C1:F1)+MAX(A1:B1)

      Hope this is what you need.

  10. Sir,
    How to get the result for below quary
    if a2[a2=(c1+d1)] column value is same as a1[a1=(c1+d1)] then a2 should be blank other wise a2
    Kindly help me...
    Thanks in advance.

  11. I am trying to do a conditional formatting in Excel where if a specific cell (i.e. cell D10) matches another cell (i.e. cell b3) than D10 would be green, if it does not match it turns red. The problem I am having is there are unseen decimal points involved. Is there a way to set up conditional formatting where it reads the whole number, not the decimals? I cannot remove the decimals as the formulas are pulling from other spreadsheets.

  12. How do I write the following formula:
    IF F23>0 and 25 and 50 and 75 and <=100, then "4"

  13. for example
    i have 25000, less than =150000/- = 25000 ans
    but greater than 150000/- = ?

  14. if A1 more than 6000 than 80, if A1 more than 9000 than 150, if A1 more than 12000 than 200

  15. Please tell me why this is not working.
    =IF(K3<=250000,"250000,K3<500000),"500000,">500K","no")))
    If a value in column k is less than 250K, I want to put <250K
    If a value in column k is greater than 250k or less than 500K, I want to put 500K

    • Hello Vivian!
      If I understand your task correctly, the following formula should work for you:

      =IF(K3<=250000,"<250K",IF(K3<500000,"500K","no"))

      Hope this is what you need.

  16. Hello, Trying to figure out how to keep a high score. If A<B, then replace A with B.

    • Hello Benjamin!
      If any values are already written in cells A1 and B1, then using the Excel formula they cannot be changed. Need to use a VBA macro

  17. Hi!
    I need to find duplicate symbols in cell, if there is equal 3 or more consecutive symbols (numbers). Each cell can consist of different amount of symbols and equal consecutive symbols can be in beginning or middle or end. Could you please help? Thanks in advance!

  18. (Give a function to be USED L2 to give performance (label head “GRADE”) which could be A, B or C on the basis of the MEAN in cell K2. Performance is B for MEAN>= 2000 but less than 3000, A for MEAN >= 3000 and C for MEAN <2000

    • Hello!
      If I understand your task correctly, the following formula IF should work for you:

      =IF(K2>=3000,"A",IF(K2<2000,"C","B"))

      Hope this is what you need.

  19. Hello
    sir , plz help me for the formula
    =if(a1<=180,370+a1-b1)
    it can'nt execute on excel sheet

    • Hello!
      There is no "FALSE" argument in your IF formula. I can assume that you need a formula like this:
      =IF(A1<=180,370+A1-B1,A1)

  20. Hello,
    Please i NEED A FORMULAR. eg, if x is less or equal to highlight with eg Green and if greater than x highlight with RED

    Thank You

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