Our goal is to design a traffic-light controller with the following properties; it lights up the green light (output G) for 15 seconds, followed by the yellow light (output Y) for 9 seconds, then the red light (output R) for 12 seconds. The controller will repeat this pattern forever. Our system will have a clock signal with a period of 3 seconds. 1. How many states, N, are needed in a FSM to implement this controller

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Answer:

There will be three (3) states that will be needed in-order to implement the FSM controller.

Explanation:

FSM stands for  Finite-State Machine. This is an example of a model used in  mathematical computation. The FSM is an abstract machine that can be in exactly one of a finite number of states at any given time.

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The number of states, N required to make this happen in a Finite State Machine controller ls three (3).

Finite State machine allows the occurence of exactly one state or event at any given point in time.

The number, n represents the number of possible states in the situation to be modeled. Since, the number of states are Red, Yellow and Green. Thus the controller will require 3 states to make a successful implementation.

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