1. The problem statement, all variables and given/known data I was having a casual chat with one of my professors and he presented me with a problem that after 4 hours of attempting I believe is unsolvable. the set up is pretty simple. you have 3 inputs x,y,z that go into a system, the output is ~x,~y,~z. However you are only allowed to use 2 inverters. I can get very close but there are a few instances where I cant get things to jive, specifically where x=0 y=0 and z=0. Basically I want to know if this problem is solvable, I have looked into quantum gates to see if there is some way to hybrid this but my knowledge of them is limited.