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Question 4: (20 points) Design a synchronous counter having the count sequence given by the following table. Use negative edge-triggered T flip-flops provided with a clock. 0 0 0 (i) Draw the state diagram of the counter. (i) Build the counter's state table showing the synchronous inputs of the T flip-flops (ii) Using Karnaugh maps, find the minimal sum-of-products form of the equations as well. for the inputs to the flip-flops; assume the next states of the unused combinations to be "don't care states" Draw the logic diagram of the counter (iv)