You may remind or remember: such combinations of switches can be found in the household, the one at the ends of a longer corridor, the other by fuse and lamp switch (or as safety switch at an electric garden tool to prevent from cutting-off your own fingers).
Instead of up and down, on and off we now use short `'abstract' symbols - I suggest line and circle, and the switches may become A and B, the lamps D and E. Thus we get a handsome table:

A B D E
O O O O
O I O I
I O O I
I I I O

Please don't tell my secret now - these symbols circle and line are similar to the cyphersymbols 0 and 1 - but it is really not important what I take, the two signs only must be different.

An important hint

move on