Question: Design a binary Ascending / Descending counter, from 0 to 5 and from 5 to 0 according to an input variable D ( Direction )

Design a binary Ascending/Descending counter, from 0 to 5 and from 5 to 0 according to an input variable D (Direction), if D=0 it counts upwards and if D=1 it counts downwards. Use J-K Flip Flops for your design. Give me the state diagram, the state table, the characteristic equations and the circuit to implement.

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