In Section A.13, D flip-flops were used in the design of synchronous sequential circuits. This is the simplest choice in the sense that the logic function values for a D input are directly determined by the desired next-state values in the state table. Suppose that JK flip-flops are to be used instead of D flip-flops. Describe, by the construction of a table, how to determine the binary value for each of the J and K inputs for a flip-flop as a function of each possible required transition from present state to next state for that flip-flop. (Hint: The table should have four rows, one for each of the transitions 0 0, 01, 10, and 1 1; and each J and K entry is to be 0, 1, or "don't care," as required.) Apply the information in your table to the design of individual combinational logic functions for each J and K input for each of the two flip-flops of the 2-bit binary counter of Problem A.33. How does the simplicity of the logic required compare to that needed for the design of the counter using D flip-flops?

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