Oh no, that looks rather complicated and it cannot be done with normal toggle switches. You would need packed switches.
But though it would be the (not unsurpassable) peak of madness - 1023 switches which would control a pattern of 10 lamps - nothing of 'intelligent' calculating, only a lot of copper wiring and such stuff!
Mechanics becomes confusing. As we want to explain the working of a computer to all but do not want to raise technicians^*), we should leave here.


A transition has to be made,
in practice and by description.

move on

^*) You should read "Die Laien als erste Zielgruppe..." by Martin Wagenschein [PDF]