Automata Theory Questions and Answers – Extended Transition Function

This set of Automata Theory Multiple Choice Questions & Answers (MCQs) focuses on “Extended Transition Function”.

1. The number of tuples in an extended Non Deterministic Finite Automaton:
a) 5
b) 6
c) 7
d) 4
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2. Choose the correct option for the given statement:
Statement: The DFA shown represents all strings which has 1 at second last position.

a) Correct
b) Incorrect, Incomplete DFA
c) Wrong proposition
d) May be correct
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3. What is wrong in the given definition?
Def: ({q0, q1, q2}, {0,1}, δ, q3, {q3})
a) The definition does not satisfy 5 Tuple definition of NFA
b) There are no transition definition
c) Initial and Final states do not belong to the Graph
d) Initial and final states can’t be same
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4. If δ is the transition function for a given NFA, then we define the δ’ for the DFA accepting the same language would be:
Note: S is a subset of Q and a is a symbol.
a) δ’ (S, a) =U_pϵs δ (p, a)
b) δ’ (S, a) =U_p≠s δ (p, a)
c) δ’ (S, a) =U_pϵs δ(p)
d) δ’ (S) =U_p≠s δ(p)
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5. What is the relation between DFA and NFA on the basis of computational power?
a) DFA > NFA
b) NFA > DFA
c) Equal
d) Can’t be said
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6. If a string S is accepted by a finite state automaton, S=s₁s₂s₃……s_n where s_iϵ∑ and there exists a sequence of states r0, r1, r2…… rn such that δ(r(i), s_i+1) =r_i+1 for each 0, 1, …n-1, then r(n) is:
a) initial state
b) transition symbol
c) accepting state
d) intermediate state
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7. According to the given table, compute the number of transitions with 1 as its symbol but not 0:

a) 4
b) 3
c) 2
d) 1
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8. From the given table, δ*(q0, 011) =?

a) {q0}
b) {q1} U {q0, q1, q2}
c) {q2, q1}
d) {q3, q1, q2, q0}
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9. Number of times the state q3 or q2 is being a part of extended 6 transition state is

a) 6
b) 5
c) 4
d) 7
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10. Predict the missing procedure:

i.Δ(Q0, ε) ={Q0},
ii.Δ(Q0, 01) = {Q0, Q1}
iii.δ(Q0, 010) =?
a) {Q0, Q1, Q2}
b) {Q0, Q1}
c) {Q0, Q2}
d) {Q1, Q2}
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