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What is the regular expression for the following DFA?

What is the regular expression for the following DFA?

Discussion Forum

Que. The regular expression for the following DFA is
b. a*b(b + aa*b)*
c. a*b(b* + aa*b)
d. a*b(b * + aa*b)*
Answer:a*b(b * + aa*b)*

Can a DFA is derived from regular expression?

One approach to converting a DFA into an equivalent RE is to successively replace states and transitions in the DFA graph with transitions labeled with the equivalent regular expressions. Note that initially, every transition in the DFA is de facto labeled with a regular expression.

What will be the number of final states after converting this DFA into regex?

There must exist only one final state in the DFA.

Which is more powerful NFA vs DFA?

(i) NFA is more powerful than DFA but DFA is more efficient than NFA. (ii) NFA will respond for only valid inputs and no need to respond for invalid inputs. (iii) There is no concept of dead states and complement in NFA. (iv) NFA is a parallel computing system where we can run multiple threads concurrently.

What will be the regular expression for the language starting with A but not having consecutive B’s?

Write the regular expression for the language starting with a but not having consecutive b’s. Solution: The regular expression has to be built for the language: L = {a, aba, aab, aba, aaa, abab…}

What the following DFA accepts * 1 point?

What the following DFA accepts? Explanation: Strings such as {1101,101,10101} are being accepted while {1001,11001} are not. Thus, this conclusion leads to option a. 5.

How to find the regular expression for a DFA?

In this article, we will discuss State Elimination Method. This method involves the following steps in finding the regular expression for any given DFA- The initial state of the DFA must not have any incoming edge. If there exists any incoming edge to the initial state, then create a new initial state having no incoming edge to it.

How to write Arden’s theorem for DFA and NFA?

Add ‘∈’ in the equation of initial state. Bring final state in the form R = Q + RP to get the required regular expression. Arden’s Theorem can be used to find a regular expression for both DFA and NFA. Write a regular expression for each final state separately.

When to convert one final state to another in DFA?

If there exists any incoming edge to the initial state, then create a new initial state having no incoming edge to it. There must exist only one final state in the DFA. If there exists multiple final states in the DFA, then convert all the final states into non-final states and create a new single final state.

How to use the thumb rule in DFA?

State Elimination Method- This method involves the following steps in finding the regular expression for any given DFA- Step-01: Thumb Rule. The initial state of the DFA must not have any incoming edge. If there exists any incoming edge to the initial state, then create a new initial state having no incoming edge to it.