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Design a 4 bit sequential circuit that can either count up or perform a circular left...

Design a 4 bit sequential circuit that can either count up or perform a circular left shift operation. You have to accept one input from the user, which decides if the counter is counting down or shifting. Note that the circuit should be able to change the operation from counting down and shifting without skipping any numbers. You can use at most 4 flip flops in the circuit.

For example, the user can choose to count up from 0 to 10, and the user can choose to left shift when the circuit hits 10. In this case, the circuit should follow the sequence: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 (1010), 5 (0101), 10 (1010), and so on.

In previous assignments, you only considered the past state of the flip flop as inputs to the circuit you are developing. For this circuit, you can consider both the user input and the past state of the flip flops as inputs to the circuit. In this case, K-map will include 3 variables on the rows (or columns). To build such a k-map, you would use the following sequence of labels 000 001 011 010 110 111 101 100.

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