Logical
XOR Function in Excel
Returns TRUE if an odd number of arguments are TRUE (exclusive OR).
Syntax
- =XOR(logical1, [logical2], ...)
Arguments
- logical1 (required): First condition
- logical2 (optional): Additional conditions
Examples
- =XOR(TRUE, FALSE) - One TRUE - Result: TRUE
- =XOR(TRUE, TRUE) - Both TRUE - Result: FALSE
Using XOR in business rules
- Build logical tests that return clear outcomes (Yes/No, Pass/Fail, tier labels).
- Combine with [AND](/functions/and/) and [OR](/functions/or/) for multi-condition rules.
- For many branches prefer [IFS](/functions/ifs/) over deeply nested IF.
- Compare patterns in [IF vs IFS](/compare/if-vs-ifs/).
Common errors
- Different from OR - returns FALSE if all are TRUE
Use cases
- Exclusive conditions
- Toggle logic
- Validation rules
Frequently asked questions
- What is the difference between XOR and OR? OR returns TRUE if ANY argument is TRUE. XOR returns TRUE only if an ODD number of arguments are TRUE. XOR(TRUE, TRUE) = FALSE (both true), but OR(TRUE, TRUE) = TRUE. XOR is 'exclusive or' - one or the other, but not both.
- When would I use XOR in real scenarios? Use XOR for mutually exclusive options: =XOR(HasDiscount, HasCoupon) ensures customer uses only one promotion. Or for toggle states: =XOR(CurrentState, Toggle) flips a boolean. Also useful in checksum/parity calculations.
- How does XOR work with more than 2 arguments? XOR returns TRUE if an ODD number of arguments are TRUE. XOR(T,T,T) = TRUE (3 is odd), XOR(T,T,F) = FALSE (2 is even), XOR(T,F,F) = TRUE (1 is odd). Think of it as counting TRUE values and checking if the count is odd.
Editorial review
- Reviewed by Excel.Directory Editorial Team. Updated May 2026.