XOR function

The XOR function returns TRUE if an odd number of the provided arguments are logically true, and FALSE otherwise.

Parts of a XOR formula

XOR(logical_expression1, [logical_expression2, ...])

Part Description Notes

logical_expression1 An expression or reference to a cell containing an expression that represents some logical value, e.g. "TRUE" or "FALSE," or an expression that can be coerced to a logical value.

logical_expression2 More expressions or cell references that represent logical values. A second logical expression, and any additional expressions are optional.

Sample formulas

XOR(TRUE, FALSE, TRUE)

XOR(A2=TRUE, A3=FALSE)

XOR(A1:A10, B1:B10)

XOR(0, 1, 2, 3)

Notes

The number 0 is logically false. All other numbers (including negative numbers) are logically true.
The XOR function accepts both logical value and range parameters.
Returns TRUE if an odd number of arguments are TRUE.

Examples

A B

1 Result Formula

2 TRUE =XOR(TRUE())

3 FALSE =XOR(FALSE())

4 FALSE =XOR(0)

5 TRUE =XOR(1)

6 TRUE =XOR(-3)

A B C D

9 logical_expression1 logical_expression2 Result Formula

10 TRUE FALSE TRUE =XOR(A10,B10)

11 FALSE FALSE FALSE =XOR(A11,B11)

12 TRUE TRUE FALSE =XOR(A12,B12)

13 0 1 TRUE =XOR(A13,B13)

14 1 5 FALSE =XOR(A14,B14)

A B

17 Result Formula

18 FALSE =XOR(A12,B13)

19 FALSE =XOR(B11,B12,B13)

20 TRUE =XOR(B11,B14)

Related functions

OR: The OR function returns true if any of the provided arguments are logically true, and false if all of the provided arguments are logically false.
AND: The AND function returns true if all of the provided arguments are logically true, and false if any of the provided arguments are logically false.