Question about binary counter with jk flip-flops

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Discussion Overview

The discussion revolves around designing a binary counter using JK flip-flops that counts in a specific sequence (1, 3, 5, 7, 1...). Participants explore the use of excitation tables and Karnaugh maps for minimizing the inputs for the JK flip-flops.

Discussion Character

  • Technical explanation, Debate/contested, Mathematical reasoning

Main Points Raised

  • One participant suggests using the excitation table for JK flip-flops to determine the next state in the binary counter design.
  • Another participant asserts that both J and K will not be zero simultaneously, indicating that the Karnaugh map can be recorded based on inputs that yield "zero," "one," or "don't care (X)" values.
  • A follow-up question is posed regarding whether columns in the Karnaugh map can be ignored if they contain only "don't care" or "zero" values.
  • One participant emphasizes that a "1" will appear at some point in the process and expresses skepticism about encountering a situation with only "0" or "X" values.

Areas of Agreement / Disagreement

Participants do not reach a consensus on how to handle the Karnaugh map entries, particularly regarding the treatment of "don't care" and "zero" values for J and K inputs.

Contextual Notes

There is uncertainty regarding the conditions under which "don't care" or "zero" values may appear in the Karnaugh map, as well as the implications for the design of the binary counter.

James889
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Hi,

Let's say i want to make a binary counter using jk-flip-flops that counts 1,3,5,7,1...

Then i'd use the excitation table for the jk-flip-flop to determine the next state.

The next step would be to use karnaugh-maps to minimize the j and k columns.

My question is: Do i need to record, in the karnaugh-maps, when j or k is zero or only when they are at logic 1 ?
 
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you won't get zero for both j and k.. You will have either "zero" or "one" or "dont care(X)"..
So therefore you can record k-map according to i/p's.. I hope you know, that we can pair,quad,octal "1" with "X".
 
jerin_007 said:
you won't get zero for both j and k.. You will have either "zero" or "one" or "dont care(X)"..
So therefore you can record k-map according to i/p's.. I hope you know, that we can pair,quad,octal "1" with "X".

Hi,

So if one column for either J or K turn out to have only don't care or zero, i can just ignore it?
 
You will get a 1 at some point for sure.. Try solving one problem!
I haven't encountered having only 0 or X situation.
 

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