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. how I calculate in excel , If I dont need amount less than 1500 in a coloum.

  2. Problem with conditional formatting using greater/lower than:

    how do I skip a blank cell and compare with the previous cell?

    Example: A1= 5, B1= blank, C1= 2

    I need to know if C1 is greater/lower than B1, but if B1 is blank then I want to skip B1 and instead get result for C1 greater/lower than A1. What formula do I use to do this?

    Thanks in advance!

    • Hi Niksua,

      You can create 2 conditional formatting rules with the following formulas:

      If B1 is not blank, highlight C1 when it's greater than B1:
      =AND($B1<>"", $C1>$B1)

      If B1 is blank, highlight C1 when it's greater than A1:
      =AND($B1="", $C1>$A1)

  3. bonus calculation suppose B4*0.0833 but not greater than 583
    what is the formula than

  4. Looking for how to return a value for a number that falls within certain ranges. For example:

    If H10 is greater than 750, return 1
    If H10 is between 650 and 749, return 2
    If H10 is between 550 and 649, return 3
    If H10 is less than 550, return 4.

    So that if in cell H10 a number is entered, then in cell H11 a value of 1, 2, 3 or 4 will be displayed.

    Any help would be appreciated. Thanks!

    • IF(H10=>750,1,IF(H10=>650,2,IF(H10=>550,3,4)

  5. Suppose A1=A+B+C+D & A2=B+A+D+C , i apply =exact(A1=A2) but result is "False".
    In Excel any other function for this. Reply me as early as possible.
    Thank you...

    • Hello Bhanu,

      EXACT is the right function for this task. Just note, the correct syntax is =EXACT(A1,A2)

      You can test it in the following way. Enter some values in another column, say column C, and then type the following formulas:

      In cell A1: =C1+C2+C3+C4

      In cell A2: =C2+C1+C4+C3

      Then enter the formula =EXACT(A1,A2) in some cell, and it will return TRUE.

  6. say for example i have 2 colums with a lot of numbers they are not by each other how do I put all the numbers which are equal to each other in excel

  7. AMAZINGLY CLEAR EXPLANATION, THANK YOU!!

    I've only used the double unary operator trick several times over my 20 years of daily Excel use because no one has ever able to effectively explain what the two negative symbols did.

    Now I can add this to my repertoire and actually KNOW what it does. PRICELESS!

  8. I'm going crazy on this..

    I need to create a conditional formatting meeting several criteria.

    If a1>0 and = d1 OR b1>0 and = c1

    • Hi Mauriccio,

      Try creating a conditional formatting rule with the following formula:

      =OR(AND($A1>0, $A1=$D1), AND($B1>0, $B1=$C1))

  9. Hi Svetlana, regarding to operator larger or smaller, I would like to know is there any operator to interpret data as below:

    for example I have:
    account code listed on column A: 1, 2, 3, 10, 20, 30, 100, 200, 300
    Amount listed on column B: 1000, 2000, 3000, 4000, 5000, 60000, 7000, 8000, 9000

    I want to use sumifs statement to summarize the amount when the account code is under 1XX (e.g. the sum of account codes 1, 10 and 100), in this case I don't think sumifs criteria using larger or smaller operator can sort out the account codes that I want....Do you have any idea on this?

    Many thanks.

  10. no worries, got it

  11. okay about to give up. I need the number entered in one cell (which is D18 on my SS) to decide what range and assign the appropriate value. for example if the number is 1-8 then 3 would display in cell G18, if 9-16 than 6, if 17-25 than 9, if 26-34 than 12, 35 plus would be 15

  12. previous post was incorrect

    IF((C7>72700,9,"0"),IF(C7>227425208012143916<208012,2,"0"))

    Need help with this formula
    Vehicle and odometer readings
    If cell C7 is 72700 or higher it is vehicle 9
    227425 or higher 5
    208012 or higher 21
    143916 or higher 2

    • Hi!

      You need to use nested IF functions and the correct syntax is as follows:

      =IF(C7>=227425, 5, IF(C7>=208012, 21, IF(C7>=143916, 2, IF(C7>=72700, 9, 0))))

      • Hello,
        Thank you for your prompt response. I very much appreciate it!

  13. IF((C7>72700,9,"0"),IF(C7>227425208012143916<208012,2,"0"))

    Need help with this formula
    Vehicle and odometer readings
    If cell C7 is 72700 or higher it is vehicle 9
    227425 or higher 5
    208012 or higher 21
    143916 or higher 2

  14. I need to create a function based on a decimal place
    ex. 7.341, if the the decimal value is greater or lesser than .4, the value of "7" would be unknown lets say, if the number has a decimal point equal to .4 or greater the value of "7" stays the same, if the number has a decimal point of .39 or less than, we will subtract 1 from the "7". How do I put this into a function especially since the value is dependent on decimal points.

    • Hi Justyna,

      If my understanding of the task is correct, one of the following formulas should work a treat (where A1 is the decimal number).

      Return a decimal number:
      =IF(A1-TRUNC(A1,0)>=0.4, A1, A1-1)

      Return an integer:
      =IF(A1-TRUNC(A1,0)>=0.4, TRUNC(A1,0), TRUNC(A1,0)-1)

  15. I have to select multiply based on below conditions
    If"value"600, then O.D+600

    "value" cell is diameter of pipe
    result of "then" statement is " width of trench"
    required to bury that pipe.
    the "width of trench" varies with pipe diameter.

    can u help me write formulae for above
    input"value" IS DIAMETER
    output"Width"

  16. I'm trying to create a formula to automatically compare two scores and return whether the game was a win, loss, or tie for the team in question. I understand how to handle just wins and losses [for instance, =IF(BS10>BR11,"W","L")], but the possibility of a tie complicates things. I've tried using the IF formula with the if true value set to "T" and the if false value as the equation above, but it is invalid. Is there a way to do this?

    • Hi Jake,

      I think you can use the following nested IF's:

      =IF(BS10>BR11,"W", IF(BS10<BR11, "L", "T"))

      • Hi,

        can you help me our please

        if G3 is greater than H3 I want to have these 2 cells to be subtracted as G3-H3, if G3 is lesser than H3 I want to have these 2 cells to be subtracted as H3-G3

        i had used the below formula but error occurred so can you help me please

        =IF(G3>H3),"G3-H3",IF(G3>H3),"H3-G3"

  17. Many Thanks Svetlana,
    in need:
    L9 = 3000 if k9=(100% to 120%)
    L9=4000 IF K9 =(121%-130%)
    L9=5000 IF K9 greater than 131%

    J8= 0% IF E8=(0% TO 50%)
    J8= 10% IF E8=(51% TO 60%)
    J8= 15% IF E8=(61% TO 80%)
    J8= 20% IF E8=(greater than 81%)

    Best Regards
    Majed

  18. How would you type an IF statement for a cell that is equal to 50 , 500, or 550 to be multiplied by formula x but for all other values to be multiplied by formula y.

    • Hi Taquana,

      You can use a formula similar to this:

      =IF(OR(A1=50, A1=500, A1=550), A1*x, Z1*y)

  19. Hi Svetlana,
    i need value in H2 = E2 when it< or = the value in G2
    if this value greater than the value in G2 then the value in H2=the value in G2
    THANKS,

      • Many Thanks Svetlana,
        in need:
        L9 = 3000 if k9=(100% to 120%)
        L9=4000 IF K9 =(121%-130%)
        L9=5000 IF K9 greater than 131%

        J8= 0% IF E8=(0% TO 50%)
        J8= 10% IF E8=(51% TO 60%)
        J8= 15% IF E8=(61% TO 80%)
        J8= 20% IF E8=(greater than 81%)

        Best Regards
        Majed

  20. Hi
    I wonder if you could help me please, I need to set up a formula which will allow me to charge based upon numbers;
    i.e
    100 or less = £35
    101 to 200 = £45
    201 to 300 = £55
    301 to 400 = £65
    401 to 700 = £75
    701 to 1000 = £100

    Many Thanks,

    • Hello Susan,

      You can use the following nested IF functions:

      =IF(A1>700,100, IF(A1>400,75, IF(A1>300,65, IF(A1>200,55, IF(A1>100,45,35)))))

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