1. a) Define finite automaton. Design a five-state machine which accepts all strings that start and end with the same symbol. b) 1. Construct a DFA that accepts all the strings on (0, 1} except those containing the substring 101. 2. a) Give the formal definition of the following NFA: a 6 a 2 3 b) Construct an NFA that accepts all the strings over (0, 1} containing a 1 in the third position from the end. Use it to construct a DFA accepting the same set of strings.

Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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1. а)
Define finite automaton. Design a five-state machine which accepts all strings that start and
end with the same symbol.
b)
Construct a DFA that acccpts all the strings on (0, 1} cxcept those containing the substring
101.
2. a)
Give the formal definition of the following NFA:
a
6
7
1
2
3
b) Construct an NFA that accepts all the strings over (0, 1} containing a 1 in the third position
from the end. Use it to construct a DFA accepting the same set of strings.
Transcribed Image Text:1. а) Define finite automaton. Design a five-state machine which accepts all strings that start and end with the same symbol. b) Construct a DFA that acccpts all the strings on (0, 1} cxcept those containing the substring 101. 2. a) Give the formal definition of the following NFA: a 6 7 1 2 3 b) Construct an NFA that accepts all the strings over (0, 1} containing a 1 in the third position from the end. Use it to construct a DFA accepting the same set of strings.
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