The XOR function performs what is called "exclusive OR". With two logical statements, XOR returns TRUE if either statement is TRUE, but returns FALSE if both statements are TRUE. If neither is TRUE, XOR also returns FALSE.
Perform exclusive OR
TRUE or FALSE
=XOR (logical1, [logical2], ...)
logical1 - An expression, constant, or reference that evaluates to TRUE or FALSE.
logical2 - [optional] An expression, constant, or reference that evaluates to TRUE or FALSE.
The XOR function performs what is called "exclusive OR", in contrast to the "inclusive OR" performed by the OR function. Whereas the OR function returns true if any input is TRUE, XOR only returns TRUE in specific cases. In the simplest case, with just two logical statements, XOR returns TRUE only if one of the logicals is TRUE. If both values are TRUE, XOR returns FALSE.
The concept of exclusive OR is more common in the world of programming. In plain English, you can think of a sentence like this: "I'm either going to visit New York or San Francisco this summer". Nothing prevents the speaker from visiting both, but the meaning is clearly that they plan to visit only one or the other. If they visit one or the other, the original statement is TRUE. If they visit neither or both, the original statement is FALSE.
Example #1 - two values
In the example shown, the formula in D5, copied down, is:
The Excel OR function returns TRUE if any given argument evaluates to TRUE, and returns FALSE if all supplied arguments evaluate to FALSE. For example, to test A1 for either "x" or "y", use =OR(A1="x",A1="y"). The OR function...
The Excel NOT function returns the opposite of a given logical or Boolean value. When given TRUE, NOT returns FALSE. When given FALSE, NOT returns TRUE. Use the NOT function to reverse a logical value.
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