Designing counters using J-K, S-R, and T flip flops?

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SUMMARY

This discussion focuses on designing counters using J-K, S-R, and T flip flops, specifically addressing the challenge of determining the upper and lower halves of Karnaugh maps for a 4-bit state table. The user has successfully created next state maps and separate J and K maps (J_a, J_b, J_c, J_d, and K_a, K_b, K_c, K_d) but is confused about how to differentiate the upper and lower halves of these maps. The inquiry emphasizes the need for clarity on whether the halves are uniform across all flip flops or vary based on the significance of the bits involved.

PREREQUISITES
  • Understanding of flip flop types: J-K, S-R, and T flip flops
  • Familiarity with Karnaugh maps and their application in digital design
  • Knowledge of state tables and next state mapping for counters
  • Basic principles of binary counting and significance of bits
NEXT STEPS
  • Study the design principles of J-K flip flops in counter applications
  • Learn how to construct and interpret Karnaugh maps for multiple variables
  • Explore examples of state tables and their corresponding next state maps
  • Investigate the differences in behavior between J-K and S-R flip flops in counter designs
USEFUL FOR

Digital design engineers, electronics students, and anyone involved in designing counters using flip flops will benefit from this discussion.

sirclash
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I'm having a problem determining the upper and lower halves of a karnaugh map when trying to design a counter using flip flops. So where I am at is, taking a 4 bit table with the next state included, putting it into a next state map and then in the J-K, and S-R flip flops tables. I know the rules for converting each table into separate J and K maps(J_a,J_b,J_c,J_d, and K_a,K_b,K_c,K_d maps) however I am stuck on determining how the upper and lowers halves of each map are determined. Are the all the same based on the significance of the bit? or is each flip flop different? Please explain.
 
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sirclash said:
I'm having a problem determining the upper and lower halves of a karnaugh map when trying to design a counter using flip flops. So where I am at is, taking a 4 bit table with the next state included, putting it into a next state map and then in the J-K, and S-R flip flops tables. I know the rules for converting each table into separate J and K maps(J_a,J_b,J_c,J_d, and K_a,K_b,K_c,K_d maps) however I am stuck on determining how the upper and lowers halves of each map are determined. Are the all the same based on the significance of the bit? or is each flip flop different? Please explain.

Could you post an example problem with your work so far? That would be helpful in trying to figure out where the confusion is. Thanks.
 

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