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.

 

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