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Case: A TV set has an off-on button. When the TV is turned on both image and sound are turned on by default. There is a single change-channel button, which can be used to adjust the channel. Assume there are only 4 channels available for this particular TV. Pressing the change-channel button increases the channel by 1. When it reaches channel 4, it rolls back to 1. The sound volume of the TV can be one of only 3 settings - "low", "medium", or "high". A sound adjustment button cycles among these 3 settings similarly to the change-channel button. A mute button is provided to totally mute the sound. When pressed once the mute button mutes the sound; when pressed again it returns the sound to the same level as before the sound was muted. When the TV is turned on for the first time the channel should be 1 and the sound level should be "medium". After the first time, the TV remembers the channel and sound settings from when it was turned off the last time.
Question 1. Draw a hierarchical FSM to model the behavior of this TV. Describe in words below your diagram what each state (including both regular states and super-states) represents.
Question 2. Is non-determinism a potential problem in this system? Answer yes or no and explain your choice.
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