Ex4: Design a counter with 7 flip-flops that goes through the following binary repeated sequence: 0, 1, 3, 7, 6, 4. Show that when binary states 010 and 101 are considered as don't care conditions, the counter may not operate properly. Find a way to correct the design.

Please help me with the questions below based on the data give

The logic diagram on the right shows a "T-D flip- flop" that can function as a T-type flip-flop or a D-type flip-flop. i) Derive the next state equation for the T-D flip flop circuits. ii) Implement the circuit using D-type flip-flop as your memory element. iii) Implement your circuit using R-S flip-flop. Clock C(CONTROL) M (MODE) T_D LATCH K 2 2 b QBAR