1. Write regular expression for the following languages, alphabet {0,1} a. The set of strings that do not end with 11 b. The set of strings that do not contain substring 01 c. The set of strings having 0 at every 3rd position. d. Describe the language given by the regular expression 0*10*10*1(1|0)* e. Set of all strings that are at least of length 4 and contains an even number of l's.

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. Write regular expression for the following languages, alphabet {0,1}
a. The set of strings that do not end with 11
b. The set of strings that do not contain substring 01
c. The set of strings having 0 at every 3rd position.
d. Describe the language given by the regular expression 0*10*10*1(1|0)* e. Set of
all strings that are at least of length 4 and contains an even number of 1's.
2. Draw the DFA for the following languages
a. L = {w]w contains substring "aba" and has b in the second last position} b. L =
{w[ every 3rd symbol in w is 0} e.g. 110100, 000110001. But 101 won't be
accepted since the 3rd symbol is 1.
c. Set of all strings that are at least of length 4 and contain an even number of 1's
d. L= {w| The 3rd last symbol in w is 0}
Transcribed Image Text:1. Write regular expression for the following languages, alphabet {0,1} a. The set of strings that do not end with 11 b. The set of strings that do not contain substring 01 c. The set of strings having 0 at every 3rd position. d. Describe the language given by the regular expression 0*10*10*1(1|0)* e. Set of all strings that are at least of length 4 and contains an even number of 1's. 2. Draw the DFA for the following languages a. L = {w]w contains substring "aba" and has b in the second last position} b. L = {w[ every 3rd symbol in w is 0} e.g. 110100, 000110001. But 101 won't be accepted since the 3rd symbol is 1. c. Set of all strings that are at least of length 4 and contain an even number of 1's d. L= {w| The 3rd last symbol in w is 0}
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