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FLIP-FLOPS CS147 Presentation

Dive into the fundamentals of flip-flops and finite state machines (FSMs) in digital design. This presentation covers the essence of sequential circuits, explaining how storage elements function to bridge the gap between current and previous inputs. Learn about different types of flip-flops, including D, T, JK, and SR types, and their roles in state transition tables. Discover Moore and Mealy machines and their unique characteristics. This foundational knowledge is crucial for designing robust sequential circuits in various digital applications.

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FLIP-FLOPS CS147 Presentation

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  1. FLIP-FLOPSCS147 Presentation CS 147 Ying Zuo

  2. FLIP-FLOPS • The simplest finite state machine • Storage element - compensates the weakness of combination circuits - outputs depend on both current and previous inputs. (Sequential Circuit) • Edge triggered (latch: level triggered)

  3. FINITE MACHINE • A computational model consisting of a finite number of states and transitions between those states, possibly with accompanying actions.

  4. Outputs of FSM 1. Moore Finite State Machine • Associate output with each state • Function of current state

  5. 2. Mealy Finite State Machine • Associate output with each transaction • Function of current state and its input

  6. CHARACTERISTIC TABLES D flip-flops T flip-flops JK flip-flops SR flip-flops

  7. State Transition Table • Also known as characteristic table. • In sequential logic, a state transition table is a table showing what state a finite state machine will move to, based on the current state and other inputs. • Four columns: current state, input, output, and next state.

  8. Example

  9. Implementing this FSM using a T Flip-Flop Q(t+1) Input of T in order to get to Q(t+1) T=X*Q*+XQ

  10. Sequential Circuit X T=Q*X*+QX Y=Q Q* Clk

  11. Implementing this FSM using a D Flip-Flop Q(t+1) D D=X*

  12. Sequential Circuit X D=X* Y=Q Q* Clk

  13. Implementing JK Flip-Flop using a T Flip-Flop JK flip-flops T FFs T=JQ*+KQ

  14. Practice: Draw the Sequential Circuit

  15. Implementing T Flip-Flop using a JK Flip-Flop T FFs

  16. Cont. J=T K=T*

  17. How to draw the Sequential Circuit ?

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