Question: Q 3 . Use JK flip - flops and external gates to design a 3 - bit synchronous binary state machine that has two modes

3 .

Use JK flip

-

flops and external gates to design a

3 -

bit synchronous binary state machine that has two modes of operation depending on its initial state.

Assume the two modes will run autonomously depending on their initial state. To simplify the design in this exam, there is no external control circuits or initial settings required but two modes must be operated by using ONE circuit block only. Using two separate circuits to operate each mode separately will NOT receive marks.

Show the design procedure, give the state table and logic functions, and sketch the logic diagram. Use the minimum number of flip

-

flops and external gates.

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