Test: Applications of DFA - Computer Science Engineering (CSE) MCQ

The DFA for the given language can be constructed as follows:

 If the string is divisible by four, it surely ends with the substring ‘100’ while a binary string divisible by 2 would surely end with the substring ‘10’.

If L leads to FA1, then for L^c, the FA can be obtained by exchanging the final and non-final states.

It the closure property of Regular language which lays down the following statement:
If L1, L2 are 2- regular languages, then L1 U L2, L1 ∩ L2, L1^C, L1 – L2 are regular language.

When set operation ‘-‘ is performed between two sets, it points to those values of prior set which belongs to it but not to the latter set analogous to basic subtraction operation.

The NFA accepts all binary strings such that the third bit from right end is 1 and if not, is send to Dumping state. Note: It is assumed that the input is given from the right end bit by bit.

While the machine runs on some input string, if it has the choice to split, it goes in all possible way and each one is different copy of the machine. The machine takes subsequent choice to split further giving rise to more copies of the machine getting each copy run parallel. If any one copy of the machine accepts the strings, then NFA accepts, otherwise it rejects.

 If K is the number of states in NFA, the DFA simulating the same language would have states equal to or less than 2^k.

All the optioned mentioned are the instruction formats of how to convert a NFA to a DFA.

The maximum number of states an equivalent DFA can comprise for its respective NFA with k states will be 2^k.