Designing a Modulo-16 Up/Down Counter with Grey Code State Assignment

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Discussion Overview

The discussion revolves around designing a modulo-16 up/down counter using Grey code state assignment. Participants are addressing the requirements for the counter's behavior based on input conditions and are sharing their approaches to the design process, including the use of Karnaugh maps (K-maps) for simplification.

Discussion Character

  • Homework-related, Technical explanation, Debate/contested

Main Points Raised

  • One participant presents a homework statement requiring the design of a modulo-16 counter that counts up when x=1 and down when x=0, with specific terminal count conditions.
  • Another participant requests that the original poster show their work to better understand their knowledge and identify gaps.
  • A participant claims to have completed the design using a five-variable K-map.
  • Another participant insists that the design must be done using a four-variable K-map instead.
  • One participant expresses a need for guidance on deriving JK flip-flop equations after using a four-variable K-map.
  • A participant critiques the lack of specific details in the original poster's contributions, suggesting that merely mentioning K-maps does not provide enough context for assistance.

Areas of Agreement / Disagreement

There appears to be disagreement regarding the appropriate number of variables for the K-map, with some participants advocating for a five-variable approach while others insist on a four-variable method. The discussion remains unresolved as participants express differing views on the design process and requirements.

Contextual Notes

There are limitations in the discussion due to the lack of specific details regarding the original poster's progress and understanding, as well as the ambiguity surrounding the use of K-maps in this context.

rvce
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Homework Statement



design an up down modulo-16 counter. use grey code state assignment, when x=1 the counter is to count up. when x=0 the counter is to count down. when the terminal cont of 15 is detected and the unit is counting up or when the terminal count of 0 is reached and the unit is counting down,causing the terminal count (tc)'=0.

Homework Equations





The Attempt at a Solution

 
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You need to show some work so we can get a sense of what you know and what you might be missing. If you expect someone here to just do your work for you, your on the wrong forum.
 
done it with using 5 variable kmap.
 
have to be done with four variable k map
 
just need a little idea after getting the jk flip flops equations using four variable kmap
 
You have not posted anything specific as to what you have done so far. Just mentioning k maps doesn't tell us anything other than that you are probably on the wrong track.
 

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