Design a counter with T flip flops that goes through the following binary repeated sequence 0,1,3,7,6,4. Show that when the states 010 and 101 are considered as don't care conditions the counter may not operate properly.

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Present Next state state ABC ABC 000 001 010 011 100 101 110 111 Flip-flop inputs TB TB Tc 1 0 XXX 111 000 TA 001 0 011 0 X 1 1 XXX X 100 0 110 0 0 1 X 1 1 X 0 0 X X 1 0 0 1