(Solved): Three containers C1,C2, and C3 as displayed in the figure below are ...

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Three containers $$C_1,C_2$$, and $$C_3$$ as displayed in the figure below are supplemented by some material. The containers are equipped with sensors $${\mathrm{X}}_1,{\mathrm{X}}_2$$, and $${\mathrm{X}}_3$$, indicating the level of material in particular containers. Logical 1 signalizes the low amount of material and thus the demand for service. Design a circuit (Moore FSM) controlling the operation of trolley developing material to the containers. Block scheme of a sample sequential logics in a factory. The controller operates as per the following enabling logic: If every container indicates low amount of material, service should be provided in the order: $${\mathrm{C}}_1,{\mathrm{C}}_2,{\mathrm{C}}_3,{\mathrm{C}}_1,{\mathrm{C}}_2,{\mathrm{C}}_3$$, and $${\mathrm{C}}_1\dots$$ If two of the three containers are empty, service is provided alternately: $${\mathrm{C}}_{\mathrm{a}},{\mathrm{C}}_{\mathrm{b}},{\mathrm{C}}_{\mathrm{a}},{\mathrm{C}}_{\mathrm{b}}$$, and $$\mathrm{Ca}\dots$$ If one of the three boxes is empty, provide the service to it. If no sensor is active, there is no action. $${\mathrm{C}}_1$$ has higher priority than $${\mathrm{C}}_3$$. Use Gray state assignment, D flip-flops and NAND gates for your design.