Designing a Modulo-16 Up/Down 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.
 
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.