Computer Science Engineering (CSE) Exam > Computer Science Engineering (CSE) Questions > An FSM witha)M can be transformed to Numeral ...
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An FSM with
- a)M can be transformed to Numeral relabeling its states
- b)M can be transformed to N, merely relabeling its edges
- c)Both of the mentioned
- d)None of the mentioned
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
An FSM witha)M can be transformed to Numeral relabeling its statesb)M ...
A finite-state machine (FSM) or finite-state automaton (FSA, plural: automata), finite automaton, or simply a state machine, is a mathematical model of computation. ... An FSM is defined by a list of its states, its initial state, and the conditions for each transition.
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An FSM witha)M can be transformed to Numeral relabeling its statesb)M ...
Explanation:
Relabeling means renaming or assigning new labels to the states or edges of the Finite State Machine (FSM). It is a technique used to simplify or modify the FSM without changing its behavior. In this question, we are given an FSM M and we need to transform it to another FSM N by relabeling its states or edges.
a) M can be transformed to N by numeral relabeling its states:
In numeral relabeling, we assign numbers as labels to the states of FSM. For example, we can rename state q0 as 0, q1 as 1, q2 as 2, and so on. This technique is useful when we want to reduce the number of characters used to represent the states. However, it does not change the behavior of the FSM. Therefore, if we relabel the states of FSM M using numeral relabeling, we can obtain FSM N with the same behavior as M.
b) M can be transformed to N by merely relabeling its edges:
In edge relabeling, we assign new labels to the edges of FSM. For example, we can rename the transition from state q0 to q1 on input 'a' as 'x', and the transition from state q1 to q2 on input 'b' as 'y'. This technique is useful when we want to modify the FSM behavior without changing its structure. However, it may not be possible to transform FSM M to N by merely relabeling its edges, as some transitions may need to be added or removed to change the behavior.
c) Both of the mentioned:
From the above explanations, we can see that both numeral relabeling and edge relabeling can be used to transform FSM M to N, but the technique used depends on the desired modification. Therefore, the correct answer is option 'C' - both of the mentioned.
Relabeling means renaming or assigning new labels to the states or edges of the Finite State Machine (FSM). It is a technique used to simplify or modify the FSM without changing its behavior. In this question, we are given an FSM M and we need to transform it to another FSM N by relabeling its states or edges.
a) M can be transformed to N by numeral relabeling its states:
In numeral relabeling, we assign numbers as labels to the states of FSM. For example, we can rename state q0 as 0, q1 as 1, q2 as 2, and so on. This technique is useful when we want to reduce the number of characters used to represent the states. However, it does not change the behavior of the FSM. Therefore, if we relabel the states of FSM M using numeral relabeling, we can obtain FSM N with the same behavior as M.
b) M can be transformed to N by merely relabeling its edges:
In edge relabeling, we assign new labels to the edges of FSM. For example, we can rename the transition from state q0 to q1 on input 'a' as 'x', and the transition from state q1 to q2 on input 'b' as 'y'. This technique is useful when we want to modify the FSM behavior without changing its structure. However, it may not be possible to transform FSM M to N by merely relabeling its edges, as some transitions may need to be added or removed to change the behavior.
c) Both of the mentioned:
From the above explanations, we can see that both numeral relabeling and edge relabeling can be used to transform FSM M to N, but the technique used depends on the desired modification. Therefore, the correct answer is option 'C' - both of the mentioned.
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An FSM witha)M can be transformed to Numeral relabeling its statesb)M can be transformed to N, merely relabeling its edgesc)Both of the mentionedd)None of the mentionedCorrect answer is option 'C'. Can you explain this answer?
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An FSM witha)M can be transformed to Numeral relabeling its statesb)M can be transformed to N, merely relabeling its edgesc)Both of the mentionedd)None of the mentionedCorrect answer is option 'C'. Can you explain this answer? for Computer Science Engineering (CSE) 2025 is part of Computer Science Engineering (CSE) preparation. The Question and answers have been prepared according to the Computer Science Engineering (CSE) exam syllabus. Information about An FSM witha)M can be transformed to Numeral relabeling its statesb)M can be transformed to N, merely relabeling its edgesc)Both of the mentionedd)None of the mentionedCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Computer Science Engineering (CSE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An FSM witha)M can be transformed to Numeral relabeling its statesb)M can be transformed to N, merely relabeling its edgesc)Both of the mentionedd)None of the mentionedCorrect answer is option 'C'. Can you explain this answer?.
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