1. Flip-Flops

2. RS Flip-flop S R OutputsInputs X X

3. RS Flip-flop - definition InputsOutput SR 00Unchanged 10 01 11Not allowed

4. RS Flip-flop waveforms

5. RS Flip-flop Types of flip-flops: a) dynamic b) synchronized

6. ExampleExample

7. Example continuation

8. RS flip-flop formed by cross-coupling NOR gates

9. RS flip-flop formed by cross-coupling NAND gates

10. Transfer circuit

11. RS latch

12. D latch

13. Shift register

14. The progression of states by the counter X3X3 X2X2 X1X1 000 001 010 011 100 101 110 111 000 ………

15. Example: Binary counter

16. Example: Gated-clock binary counter

17. JK flip-flop

18. Example: Binary counter made with JK flip-flops

19. Example: Up-down counter

20. Integrated circuits

21. Counter design: Design rule for RS flip-flops The present state The next stateSR 000d 11d0 0110 1001

22. Counter design: Exercise (RS version) Design a counter using three RS Flip-Flops to sequence as follows ABC 000 111 101 110 001 010 000 111 101...

23. Solution: (RS version)

24. Solution: Counter with RS flip-flops A S R B S R S R C

25. Counter design: Design rule for JK flip-flops The present state The next stateJK 000d 11d0 011d 10d1

26. Counter design: Exercise (JK version) Design a counter using three JK Flip-Flops to sequence as follows ABC 000 111 101 110 001 010 000 111 101...

27. Solution: (JK version) Counter with JK flip-flops