In this assignment you will translate a system description into a FSM state diagram and

then transform it into a FSM controller circuit in Logisim by utilizing a truth table and

Boolean equations.

It is heavily recommended to watch the supplemental video and work on the optional

assignment before you attempt this assignment. The video shows step$-$by$-$step how

this process works using a complex example.

System Description & State Diagram

Transform the following system description into a FSM state diagram $($you can use any

tool to create this diagram, which allows you to draw circles and connect arrows

between them; hand$-$drawn diagrams will not be accepted$).$ Make sure you are using

the correct notation for the state diagram. Use the given labels for everything, don$$t

pick your own labels. Everything is defined and you don$$t have to choose your own

labels at any point during this assignment.

Use minterms for every transition event in the state diagram $($each event must be a

specific configuration of all inputs$)$ to avoid incomplete and non$-$exclusive transitions. If

the state does not change for certain events, make sure to model this behavior with an

appropriate transition.

In this system you will implement a counter that counts $5$ different numbers in a

repeating pattern depending on the x input. Flip flop outputs are used as encoded

states since you are designing a counter. The counting sequences are different for

each student as listed below.