Expandable XOR gate

[Azor_Ahai]

The most common interpretation of an XOR that uses more than 2 inputs is an odd parity. That's usually the case due to using the same cascading logic we apply to other logic gates, when we talk about multiple inputs. If you don't understand what I mean by cascading, I mean using 2 input Xors you put the output of the previous Xor into one of the next Xor's inputs and the other input is the Nth input.

Example lets say ^ = Xor, (A ^ B) = (A Xor B)

(A ^ B) ^ C
((A ^ B) ^ C) ^ D

But does that necessarily make it correct? I dont think so...