Problem 5: 7-43.*(a) Design a synchronous counter using J-K FFs that has the following sequence: 000, 010, 101, 110, and repeat. The undesired (unused) states 001, 011, 100, and 111 must always go to 000 on the next clock pulse.

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Up-down counter

In digital logic and computing, a counter is a device that stores (and sometimes displays) the number of times a particular event or process has occurred, often in relationship to a clock. A sequential digital logic circuit is the most common type with an input line or clock and multiple output lines. In the binary or binary-coded decimal (BCD) number system, the values on the input line represents a number by several flip-flops connected in a cascaded manner. They are manufactured as separate integrated circuits and are widely used components in digital circuits. These are also a part of larger integrated circuits. These are a specific type of sequential circuit like registers or the value of the flip-flops serving as the output.