Wrong DFA from NFA. String Does not contains 110
I don't think you did the conversion correctly.  You don't show your steps so I can't tell where you went wrong, but check your work again.  If the NFA is in state A and it receives a 1, what states might it go to?  If the NFA is in state C and it receives a 1, what states might it go to?  So what state should the DFA (FSA) go to if it is in state AC and receives a 1?

There appear to be multiple errors in the conversion.  For instance, the edge out of AB also looks incorrect.

Try applying the standard algorithm and running it by hand, one step at a time.