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Construct the minimum state dfa equivalent to given dfa

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Reference no: EM133655156

Question 1 Construct the minimum state DFA equivalent to given DFA.


 0 1
q0 q1 q0
q1 q0 q2
q2 q3 q1
q3 q3 q0
q4 q3 q5
q5 q6 q4
q6 q5 q6
q7 q6 q3

Q.1 Design Mealy machine:

If input ends with 100 output x

If input ends with 110 output y

Otherwise o/p z.

Question 2 Explain in detail closure properties of Regular languages.

Q.2 Design FA for following Regular Expression:

a) 10 (0 + 10)* + 1 (1 + 10)* b) 0*1 (0 + 11) + 10

Question 3 What is ambiguous grammar? Find out following CFG is ambiguos

S → aS|∈
S → aS bS

Q.3 a) Find the CFL associated with the CFG given below:
S → aB +bA
A → a|aS|bAA
B → b|bS|aBB

b) Write a grammar for generating string ∑ = (a) containing any number of a's.

Question 4 Construct PDA accepting language consisting of even palindromes string a's and b's.

Q.4 Design PDA for accepting following language

L = {anbn|n≥ 1)

Question 5 What is Turing machine? Design Turing machine for 2's complement of given binary number 01010101.

Q.5 Construct Turing machine for checking well formedness of parenthesis.

Question 6 Explain the applications of CFG in syntax analyzer phase of compiler with suitable example.

Reference no: EM133655156

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