Question

You are to design, build and test a 3-bit counter that will cycle through the prime numbers that can be represented by 3 bits. Treat all non-prime numbers as don't care states.

Answer question 3 please

3) Provide a complete state diagram for your counter showing the mapping of all State diagram:

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Answer #1

The design steps and state diagram is shown below.

3-6,t Princ Numb〈Ys are 2. 3,5 and 7 Main <ount Seque nce s 2, 3 5, 7 .. Step 1 a coanter fo> Maio count squence cotん all unuThe k- Maps a*e For p Step 2. Unused states state, 〈arrent state Next state 0 Man Statesthe Wosked oatusn Ene - Alcx* state boolcan cxpxe ssions designea above nce wie Cocld Sce the Unasc^ states leads into the MaNote: The K Map cells are filled using the Present State column and the Prime symbol ( eg. A') used to differentiate Present state variable (A, B, C) and Next state column variables ( A', B', C').

Kindly let me know if any clarifications are required. Thanks!!

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