ECE 301 – Digital Electronics Introduction to Sequential Logic Circuits (aka. Finite State Machines) and FSM Analysis (Lecture #17)

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Presentation transcript:

ECE 301 – Digital Electronics Introduction to Sequential Logic Circuits (aka. Finite State Machines) and FSM Analysis (Lecture #17)

ECE Digital Electronics2 Combinational vs. Sequential Combinational Logic Circuit  Output is a function of the inputs.  Does not have state information.  Does not require memory. Sequential Logic Circuit  Output is a function of the present state (and of the inputs).  Has state information  Requires memory.  Uses Flip-Flops to implement memory.

ECE Digital Electronics3 Synchronous vs. Asynchronous Synchronous Sequential Circuit  Clocked  All Flip-Flops use the same clock and change state on the same triggering edge. Asynchronous Sequential Circuit  No clock  Can change state at any instance in time.  Faster but more complex than synchronous sequential circuits.

ECE Digital Electronics4 Finite State Machine: Models Moore Machine  Outputs are a function of the present state.  Outputs are independent of the inputs.  State diagram includes an output value for each state. Mealy Machine  Outputs are a function of the present state and the input.  State diagram includes an input and output value for each transition (between states). There is an equivalent Mealy machine for each Moore machine.

ECE Digital Electronics5 Finite State Machine: Models

ECE Digital Electronics6 FSM: State Diagram (Moore) State Output Input A B C

ECE Digital Electronics7 FSM: State Diagram (Mealy) State Output Input

ECE Digital Electronics8 Finite State Machine Analysis

ECE Digital Electronics9 FSM Analysis: Procedure Determine the Flip-Flop input equations  In terms of the present state and input variables Determine the FSM output equation(s) Determine the next state values in the state table  Assume binary encoding  Use Flip-Flop Characteristic Equation Construct the state table  Assign a state to each binary state assignment Draw the corresponding state diagram Determine the behavior of the FSM

ECE Digital Electronics10 Example: FSM using D Flip-Flops FSM Analysis

ECE Digital Electronics11 FSM Analysis: Example (D FF) input state output What type of FSM is this?

ECE Digital Electronics12 FSM Analysis: Example (D FF) Determine the FF input equations and the FSM output equation(s)

ECE Digital Electronics13 FSM Analysis: Example (D FF)

ECE Digital Electronics14 FSM Analysis: Example (D FF)

ECE Digital Electronics15 FSM Analysis: Example (D FF)

ECE Digital Electronics16 Example: FSM using JK Flip-Flops FSM Analysis

ECE Digital Electronics17 FSM Analysis: Example (JK FF) input state What type of FSM is this?

ECE Digital Electronics18 FSM Analysis: Example (JK FF) Determine the FF input equations and the FSM output equation(s)

ECE Digital Electronics19 FSM Analysis: Example (JK FF)

ECE Digital Electronics20 FSM Analysis: Example (JK FF)

ECE Digital Electronics21 Example: FSM using T Flip-Flops FSM Analysis

ECE Digital Electronics22 FSM Analysis: Example (T FF) input state output What type of FSM is this?

ECE Digital Electronics23 FSM Analysis: Example (T FF) Determine the FF input equations and the FSM output equation(s)

ECE Digital Electronics24 FSM Analysis: Example (T FF)

ECE Digital Electronics25 FSM Analysis: Example (T FF)

ECE Digital Electronics26 Acknowledgments The slides used in this lecture were taken, with permission, from those provided by Pearson Prentice Hall for Digital Design (4 th Edition). They are the property of and are copyrighted by Pearson Education.