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Answered: - Design a 3-bite counter that has 2 modules 8 counter (0-7


Design a 3-bite counter that has 2 modules 8 counter (0-7 decimal). One counter uses 3 bite binary but the other one gray code.

The counter should be able to count up and down.

With a signal you should be able to allow count or stop the countin, syncronous or asyncronous

Every time the counting is stopped the counter jumps automatically to 1d (001)

So far I have only got the truth table:?
E= enable, R= count up or down, M=module (grey or binary)

? ? ? Countdown grey/binary Current state Next state
? ? E R M Qa Qb Qc Qa+1 Qb+1 Qc+1
Binary ? 0 x x x x x 0 0 1
Count up 1 0 0 0 0 0 0 0 1
1 0 0 0 0 1 0 1 0
1 0 0 0 1 0 0 1 1
1 0 0 0 1 1 1 0 0
1 0 0 1 0 0 1 0 1
1 0 0 1 0 1 1 1 0
1 0 0 1 1 0 1 1 1
1 0 0 1 1 1 0 0 0
? ? ? ? ? ? ? ? ? ?
Count Down 1 1 0 0 0 0 1 1 1
1 1 0 0 0 1 0 0 0
1 1 0 0 1 0 0 0 1
1 1 0 0 1 1 0 1 0
1 1 0 1 0 0 0 1 1
1 1 0 1 0 1 1 0 0
1 1 0 1 1 0 1 0 1
1 1 0 1 1 1 1 1 0
Grey Code ? ? ? ? ? ? ? ? ? ?
Count up 1 0 1 0 0 0 0 0 1
1 0 1 0 0 1 0 1 1
1 0 1 0 1 1 0 1 0
1 0 1 0 1 0 1 1 0
1 0 1 1 1 0 1 1 1
1 0 1 1 1 1 1 0 1
1 0 1 1 0 1 1 0 0
1 0 1 1 0 0 0 0 0
? ? ? ? ? ? ? ? ? ?
Count Down 1 1 1 0 0 0 1 0 0
1 1 1 0 0 1 0 0 0
1 1 1 0 1 1 0 0 1
1 1 1 0 1 0 0 1 1
1 1 1 1 1 0 0 1 0
1 1 1 1 1 1 1 1 1
1 1 1 1 0 1 1 1 1
1 1 1 1 0 0 0 0

0

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