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Transition Diagram, State Machine

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I need to design a control unit for a simple hand held video game in which a character on the display catches objects. I only need to show the transition diagram...NOT A CIRCUIT! The input to the control unit is a two-bit vector in which 00 means "move left", 01 means "move right", 10 means "do not move" and 11 means "halt." The output Z is 11 if the machine is halted, and is 00, 01, or 10 otherwise, corresponding to the input patterns. Once the machine is halted, it must remain in the halted state indefinitely.

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I need to design a control unit for a simple hand held video game in which a character on the display catches objects. I only need to show the transition diagram.

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