# The circuit you design will have two inputs, A and B, and one output, Z. A and B are single-bit inpu

The circuit you design will have two inputs, A and B, and one output, Z. A and B are single-bit inputs;   Z is the single-bit output.    The output will cycle through a repeating sequence of four bits. The particular sequence produced will depend on the value of the inputs, according to the following table:

B

Z

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00

0000000100000001….

01

0000011100000111….

10

0001111100011111….

11

0111111101111111….

For example, if the input pair (A,B) = (1,0), Z will output a sequence of 0, 0, 0, 1, 1, 1, 1, 1 over eight clock cycles. If the pair of the inputs (A,B) = (0,1), the circuit will generate a sequence of 0, 0, 0, 0, 0, 1, 1, 1 over eight clock cycles. Your circuit must produce the four sequences above, with correct duty cycles.

The requirements for your design are that it must be a synchronous sequential circuit, that the states must be stored in 7474 D flip-flops, and that the state logic and output logic must be produced using logic components available in your parts kit. (In addition, we have obtained 74151 and 74153 MUX components for your use. You may include these components in your design if you wish.) Finally, the clock signal must be produced by a 555 timer circuit. Draw a state transition diagram for your design, showing the next state for each combination of the present state and the input signals. Which edge of the clock will cause the output Z to change? How many states are needed in your implementation? How many state bits? Draw the state transition table.