# Finite State Machines

Learning Goal: I’m working on a software engineering exercise and need a reference to help me learn.

Assignment Create a finite state machine that recognizes the input strings “rat” and “tar” by outputting a 1 (otherwise output 0). The input alphabet is {a, r, t}. The output alphabet is {0, 1}. The input stream may be any length, beginning with any arbitrary sequence of the input alphabet. The FSM should be completely specified. The FSM must include both inputs and outputs for each transition. The state transition tables should specify both outputs and next states. The FSM should not terminate. The FSM should recognize overlapping tokens (input strings). a) Draw the FSM. b) Create the state transition table. Grading Rubric 1. Parts a and b are worth a maximum of 50 points each. 2. Your FSM in part a need not be minimal. It must recognize all tokens rat and tar (-25 points if it fails to recognize a valid token) and cannot recognize any incorrect tokens (-25 points if it does). 3. The state transition table in part b should match the diagram – errors from the design of the diagram do not count against the table, just consistency with the diagram. -5 points for each inconsistency. Deliverables • You can use case tools like draw.io to model the FSM • https://personal.utdallas.edu/~gxa120930/fsm/ – You can also try this for drawing because this is just for drawing FSM. That tool has all instructions. You can export as an *.svg file (to the downloads directory) by clicking on the button or you can copy the image (as a *.jpg) from the context menu. • Paper should have each question with number and answer below

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