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Statement 1: A Finite automata can be represented graphically; Statement 2: The nodes can be its states; Statement 3: The edges or arcs can be used for transitions
Hint: Nodes and Edges are for trees and forests too.
Which of the following make the correct combination?
Hint: Nodes and Edges are for trees and forests too.
Which of the following make the correct combination?
- a)Statement 1 is false but Statement 2 and 3 are correct
- b)Statement 1 and 2 are correct while 3 is wrong
- c)None of the mentioned statements are correct
- d)All of the mentioned
Correct answer is option 'D'. Can you explain this answer?
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Statement 1: A Finite automata can be represented graphically; Stateme...
It is possible to represent a finite automaton graphically, with nodes for states, and arcs for transitions.
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Statement 1: A Finite automata can be represented graphically; Stateme...
Representing Finite Automata Graphically
Statement 1: A finite automata can be represented graphically.
Statement 2: The nodes can be its states.
Statement 3: The edges or arcs can be used for transitions.
Explanation:
Finite Automata is a mathematical model used to recognize patterns within input sequences. It consists of a set of states, input alphabet, transition function, initial state, and final states. It is possible to represent a finite automata graphically.
- Statement 1: A finite automata can be represented graphically.
This statement is true. Finite Automata can be represented graphically using directed graphs. It helps in visualizing the model and understanding its behavior quickly. The graphical representation of finite automata is called state diagrams.
- Statement 2: The nodes can be its states.
This statement is also true. In a state diagram, the states of the finite automata are represented by nodes. Each node represents a state, and it is labeled to indicate the name of the state.
- Statement 3: The edges or arcs can be used for transitions.
This statement is also correct. Transitions between states are represented by edges or arcs in a state diagram. The edges are labeled with input symbols that cause the transition from one state to another. If the input symbol does not cause any transition, then there is no edge labeled with that input symbol.
- Correct combination:
All of the statements are correct. Therefore, the correct combination is option 'D.'
Statement 1: A finite automata can be represented graphically.
Statement 2: The nodes can be its states.
Statement 3: The edges or arcs can be used for transitions.
Explanation:
Finite Automata is a mathematical model used to recognize patterns within input sequences. It consists of a set of states, input alphabet, transition function, initial state, and final states. It is possible to represent a finite automata graphically.
- Statement 1: A finite automata can be represented graphically.
This statement is true. Finite Automata can be represented graphically using directed graphs. It helps in visualizing the model and understanding its behavior quickly. The graphical representation of finite automata is called state diagrams.
- Statement 2: The nodes can be its states.
This statement is also true. In a state diagram, the states of the finite automata are represented by nodes. Each node represents a state, and it is labeled to indicate the name of the state.
- Statement 3: The edges or arcs can be used for transitions.
This statement is also correct. Transitions between states are represented by edges or arcs in a state diagram. The edges are labeled with input symbols that cause the transition from one state to another. If the input symbol does not cause any transition, then there is no edge labeled with that input symbol.
- Correct combination:
All of the statements are correct. Therefore, the correct combination is option 'D.'
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Statement 1: A Finite automata can be represented graphically; Statement 2: The nodes can be its states; Statement 3: The edges or arcs can be used for transitionsHint: Nodes and Edges are for trees and forests too.Which of the following make the correct combination?a)Statement 1 is false but Statement 2 and 3 are correctb)Statement 1 and 2 are correct while 3 is wrongc)None of the mentioned statements are correctd)All of the mentionedCorrect answer is option 'D'. Can you explain this answer?
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