Anyone noticed any error on Finite State Machine Vol_4 / Chap_11 ?

http://www.allaboutcircuits.com/vol_4/chpt_11/5.html#44006.png

Hint: finding Y output's Boolean Logic F(x).

Cheers.

 

I happened to write that article, so my eye isn't the best suited to spot the mistake. Could you point where exactly you found it? A step number and paragraph would help.

Thank you.