You are an engineer working for NASA. They want you to design a FSM that will test their

newest rover Fido on the MIT campus. NASA wirelessly transmits the travel plans to Fido, and

then Fido moves according to that information.

To design your FSM$,$ you first select the following locations around the MIT campus and assign

each location with a state in $3-$bit binary representation: Killian$[000],$ Kresge$[001],$ ZCenter$[010],$

$$yd$-$Pac$[011],$ Student Center$[100],$ Building $34[101],6\mathrm{.}111$ Lab$[110],$ and the StataCenter$[111].$