Finite Automata

This quiz contains MCQs on finite automata, Moore and Mealy machines, processing strings, transition functions, epsilon transitions, uses and closures, and DFA and NFA's applications and language.

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Assume the R is a relation on a set A, aRb is partially ordered such that a and b are

Reflexive

Transitive

Symmetric

Reflexive and transitive

The non-Kleene Star operation accepts the following string of finite length over set A = {0,1}, where string s contains even numbers of 0 and 1

01,0011,010101

0011,11001100

ε,0011,11001100

ε,0011,11001100

A regular language over an alphabet ∑ cannot be obtained from the basic languages using the operation

Union

Concatenation

Kleene*

All of the above

The minimum number of states required to recognize an octal number divisible by three is

1

3

5

7

Which of the following is not a part of 5-tuple finite automata?

Input alphabet

Transition function

Initial state

Output alphabet

Which among the following is represented by ∑= {a, b}L= {xϵ∑*|x is a string combination}∑4?

{aa, ab, ba, bb}

{aaaa, abab, ε, abaa, aabb}

{aaa, aab, aba, bbb}

All of the above

Which of the following codes is an incorrect option for the following change of state in FA?

δ (m, 1) = n

δ (0, n) = m

δ (m,0) = ε

The number of elements in the set for the language L={xϵ(∑r) *|length if x is at most 2} and ∑={0,1} is

7

6

8

5

What does the O/P of a Mealy machine depend on?

State

Previous state

State and iput

Only input

Which of the following formats can accurately represent the O/P of a Mealy machine?

Op(t)= δ(Op(t))

Op(t)= δ(Op(t)i(t))

Op(t): ∑

None of the above

The Mealy and Moore machines are classified as

Inducers

Transducers

Turing machines

Linearly bounder automata

The significant difference between the Mealy and Moore machines is their

Output variations

Input variations

All of the above

None of the above

A Mealy machine

Produces a language

Produces grammar

Can be converted to NFA

Has less circuit delays

Statement 1: Mealy machine reacts faster to inputs.

Statement 2: Moore machine has more circuit delays.

Choose the correct option out of the following:

Both statements are true

Statement 1 is true but statement 2 is false

Statement 1 is false and statement 2 is true

Both statements are false

Statement 1: A finite automata can be represented graphically

Statement 2: The nodes can be their states

Statement 3: The edges or arcs can be used for transitions (Hint: Nodes and edges are for trees and forests too)

Which of the following make the correct combination?

Statement 1 is false but statements 2 and 3 are true

Statements 1 and 2 are true while statement 3 is false

Both statements are true

Both statements are false

Quiz/Test Summary
Title: Finite Automata
Questions: 15
Contributed by:
Ivan