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CEC 220 Digital Circuit Design Sequential Circuits and Counter Design

CEC 220 Digital Circuit Design Sequential Circuits and Counter Design. Lecture Outline. Further Design of Counters. Sequential Circuits and Counter Design. Design a modulo-8 counter using D-type FFs. State Transition Graph. State Transition Table. 000. 111. 001. 010. 110. 101. 011.

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CEC 220 Digital Circuit Design Sequential Circuits and Counter Design

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  1. CEC 220 Digital Circuit DesignSequential Circuits and Counter Design CEC 220 Digital Circuit Design

  2. Lecture Outline • Further Design of Counters CEC 220 Digital Circuit Design

  3. Sequential Circuits and Counter Design • Design a modulo-8 counter using D-type FFs State Transition Graph State Transition Table • 000 • 111 • 001 • 010 • 110 • 101 • 011 • 100 CEC 220 Digital Circuit Design

  4. Sequential Circuits and Counter Design • Design a modulo-8 counter using D-type FFs • FF input equations (Notation: AQA, BQB, CQC) CEC 220 Digital Circuit Design

  5. Sequential Circuits and Counter Design • Design a modulo-8 counter using D-type FFs • Circuit design Combinational Logic FF’s Notation: AQA, BQB, CQC Clk CEC 220 Digital Circuit Design

  6. Sequential Circuits and Counter Design • Design a modulo-8 counter • Comparison between D-Type FF and T-Type FF designs T-Type Flip-Flop Design D-Type Flip-Flop Design CEC 220 Digital Circuit Design

  7. Sequential Circuits and Counter Design Let’s use D-Type FFs • Counters With Other Sequences • Design a “counter” which follows the sequence: 0, 4, 7, 2, 3, 0, …. State Transition Table We will need 3 FFs CEC 220 Digital Circuit Design

  8. Sequential Circuits and Counter Design • Counters With Other Sequences • Develop the FF eqns CEC 220 Digital Circuit Design

  9. Sequential Circuits and Counter Design • Counters With Other Sequences • Where so states 1, 5, and 6 go? CEC 220 Digital Circuit Design

  10. Sequential Circuits and Counter Design • Counters With Other Sequences • Where so states 1, 5, and 6 go? • 110 • 001 • 000 • 011 • 100 • 010 • 111 • 101 The counter is self starting!! CEC 220 Digital Circuit Design

  11. Sequential Circuits and Counter Design • Design a modulo-8 Up/Down counter • Count up when UD = 1 & down when UD = 0 State of FFs UD Inputs Combinational Logic Flip-Flops Q’s FF Inputs Clock The external input(s) effects the FF inputs!! CEC 220 Digital Circuit Design

  12. Sequential Circuits and Counter Design • Design a modulo-8 Up/Down counter • Count up when UD = 1 & down when UD = 0 • 000 • 111 • 001 • UD = 1 • 010 • 110 • UD = 0 • 101 • 011 • 100 CEC 220 Digital Circuit Design

  13. Sequential Circuits and Counter Design • Use K-maps to determine combo logic for FF inputs UD … CEC 220 Digital Circuit Design

  14. Next Lecture • A multi-Function Shift-Register • Counter Design Using S-R & J-K FFs CEC 220 Digital Circuit Design

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