I have n inputs and n corresponding outputs, the state of output N° i depends on the state of the input N° 1 to n, EXCEPT N° i.
To be more precise, if any of the input 1 to n except i is true, then the corresponding output is true; If all of the input 1 to n except i is false, then the corresponding output is false.
Is it possible to construct such circuit via basic logic gates when n becomes infinite?