An automaton that presents output based on previous state or current input:a)Acceptorb)Classifierc)Transducerd)None of the mentioned.Correct answer is option 'C'. Can you explain this answer?

Question

Answer

Transducer

Transducer is an automaton that presents output based on previous state or current input. Let's break down this concept further:

Definition:
- A transducer is a device that converts one form of energy into another. In the context of automata theory, a transducer is a type of machine that transforms input symbols into output symbols.

Functionality:
- Transducers have the ability to remember previous states, which allows them to produce output based on both the current input and the history of inputs.
- They can be seen as a combination of a finite state machine and a function that maps input symbols to output symbols.

Example:
- An example of a transducer is a Mealy machine, which is a finite state machine that produces output based on both the current state and the input symbol.
- For instance, in a vending machine, the transducer would consider the current state (e.g. the amount of money inserted) as well as the input (e.g. the selected item) to produce an output (e.g. dispensing the item).

In conclusion, a transducer is an automaton that considers both the current input and previous states to generate an output. It plays a crucial role in various applications where complex behavior based on history and current input is required.

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