1. Build a Finite Automaton to generate all strings with any combinations of 0's and 1's except for an empty string, i.e. empty string is not generated.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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1. Build a Finite Automaton to generate all strings
with any combinations of 0's and 1's except for
an empty string, i.e. empty string is not
generated.
2. Build a Finite Automaton to generate all strings
of the form 1m0n1k, where m, n, k are odd.
3. Build a Finite Automaton to generate all strings
of the form 1m0n1k, where m, n and k are
greater than 0 and divisible by 3.
4. Build a Finite Automaton with four states
generating just one string
5. Build a Finite Automaton with four states
generating just two strings
6. Build a Finite Automaton with four states
generating
Infinitely many strings.
7. Please convert the following Finite Automaton
into DFA (a is a start state and d is a final
state)
▪a,1 => b
▪a,0=>d
▪b,0=>c
▪c, 1=>c
- C,0=>d
▪d,0=>a
■
8. Please convert the
owing Finite Automaton into
DFA (a is a start state, while d and e are final states)
1. a,1 => b
2. a, 1=>c
3. b,0=>d
4. C,0=>e
9. Limitation Question. Using the idea of Pumping
Lemma, please explain, why we can't build a Finite
Automaton to generate all and only strings of the
form 13n0n where n>=0.
Transcribed Image Text:1. Build a Finite Automaton to generate all strings with any combinations of 0's and 1's except for an empty string, i.e. empty string is not generated. 2. Build a Finite Automaton to generate all strings of the form 1m0n1k, where m, n, k are odd. 3. Build a Finite Automaton to generate all strings of the form 1m0n1k, where m, n and k are greater than 0 and divisible by 3. 4. Build a Finite Automaton with four states generating just one string 5. Build a Finite Automaton with four states generating just two strings 6. Build a Finite Automaton with four states generating Infinitely many strings. 7. Please convert the following Finite Automaton into DFA (a is a start state and d is a final state) ▪a,1 => b ▪a,0=>d ▪b,0=>c ▪c, 1=>c - C,0=>d ▪d,0=>a ■ 8. Please convert the owing Finite Automaton into DFA (a is a start state, while d and e are final states) 1. a,1 => b 2. a, 1=>c 3. b,0=>d 4. C,0=>e 9. Limitation Question. Using the idea of Pumping Lemma, please explain, why we can't build a Finite Automaton to generate all and only strings of the form 13n0n where n>=0.
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