I would like to conduct a 2-level fractional factorial experimental design on 8 factors. I used the FrF2 package in R to do so. I have capacity to do roughly 30 experiments, so I selected a resolution IV 2^(8-3) with one center-point. Repeats aren't necessary for reasons related to the quasi-computational nature of the experiment. Upon inputting the values to the machine controlling the experiment I realized the following. Two of the factors, call them A and B, would normally have (A,B) permutations equal to (False,False), (False,True), (True,False), (True,True). However, the (True,False) combination does not make physical sense - it is impossible. But the other three combinations do make sense and I would like to test them. I am unable to find information on how to properly account for this case to design an efficient experiment with few aliases. Any help with this would be greatly appreciated.