What is the minimum number of states required to represent the language {0^n1^n | n ≥ 1} using a DFA?a.1b.2c.Infinited.3
Question
What is the minimum number of states required to represent the language {0^n1^n | n ≥ 1} using a DFA?a.1b.2c.Infinited.3
Solution
The language {0^n1^n | n ≥ 1} represents all strings of 0's followed by an equal number of 1's. This language is not regular, and therefore, it cannot be represented by a deterministic finite automaton (DFA).
A DFA has a finite number of states and it cannot keep track of an arbitrary number of 0's to ensure that there are an equal number of 1's following. This is because the DFA has no memory of past inputs and cannot count the number of 0's and 1's.
Therefore, the answer is c. Infinite.
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