Can a Turing Machine have fewer states? I am currently learning about Turing Machines, I am curious if a Turing Machine can have fewer states ?  Can it be done like a Transition Graph where you can have multiple states at once ? 

I got this TM off of a youtube video sorry for bad hand writing, but could I just merge some of the states like you would do in Transition Graph, so instead of having 5 states it would have 4 states ? TM are more advanced so I don't know if you are even able to do this...thanks! 



how could I make this into 4 states TM instead of 5 states ? in TG if would take 5 seconds do it...
It is undecidable to check whether a turing maching has a smaller encoding than a given one.  Hence there cannot be any such concept as a transition graph.

If you simply want a smaller turing maching for your example, I would guess no, from a quick glance of it.