Design up/down modulo-16 counter with grey code state assignment

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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.
 
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.