Question: Design, construct, and test a counter that goes through the following sequence of binary states: 0 , 1 , 2 , 3 , 6 ,

Design, construct, and test a counter that goes through the following sequence of binary states:

0, 1, 2, 3, 6, 7, 10, 11, 12, 13, 14, 15,

and back to

0

to repeat. Note that binary states

4, 5, 8,

and

9

are not used. The counter must be self

-

starting; that is

,

if the circuit starts from any one of the four invalid states, the count pulses must transfer the circuit to one of the valid states to continue the count correctly. Use JK flip

-

flops.

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