Determine the Main Cycle of a Counter (JK flip-flops)

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SUMMARY

The discussion focuses on determining the main cycle of a counter using JK flip-flops, specifically analyzing the behavior of the counter based on the provided state diagram. The relevant equations for the JK flip-flops are established as JA = QB', KA = 1, JB = QC', KB = QC, JC = QA, and KC = QA. The participants seek clarification on the outcomes of various input combinations during clock cycles, particularly when certain flip-flops are active or inactive.

PREREQUISITES
  • Understanding of JK flip-flop operation
  • Familiarity with state diagrams in digital circuits
  • Knowledge of clock cycle behavior in sequential circuits
  • Basic concepts of binary counting and state transitions
NEXT STEPS
  • Study the timing diagrams for JK flip-flops to understand state transitions
  • Learn about state minimization techniques for sequential circuits
  • Explore the design of counters using different types of flip-flops
  • Investigate the impact of unused states in digital circuit design
USEFUL FOR

Students studying digital electronics, engineers designing sequential circuits, and anyone interested in understanding the operation of JK flip-flops in counter applications.

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Homework Statement
For the counter shown below, determine the main cycle, and for each of the unused states, show what happens if it starts up there.

http://i45.tinypic.com/33l1lhc.jpg

Relevant equations
N/AThe attempt at a solution
Based on the diagram in the link I provided, I know that:

JA = QB'
KA = 1
JB = QC'
KB = QC
JC = QA
KC = QA

The problem is I do not know what to do after that. Can anyone explain to me how to do this? Thanks.
 
Physics news on Phys.org
Do you know how a JK flip-flop works?

What happens if A,B,C are active and we get the next clock cycle?
What happens if A,B,C' are active?
What happens for all other combinations?
 

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