1.6 Give state diagrams of DFAs recognizing the following languages. In all parts, the alphabet is {0,1}. a. {w w begins with a 1 and ends with a 0} b. {w w contains at least three 1s} c. {w w contains the substring 0101 (i.e., w = x0101y for some x and y)} d. {w w has length at least 3 and its third symbol is a 0} e. {w w starts with 0 and has odd length, or starts with 1 and has even length} f. {w w doesn't contain the substring 110} g. {w the length of w is at most 5} h. {w w is any string except 11 and 111} i. {w every odd position of w is a 1} j. {w w contains at least two Os and at most one 1} k. {ɛ,0} 1. {w w contains an even number of Os, or contains exactly two 1s} m. The empty set n. All strings except the empty string

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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Hi,

I'm facing difficulties with this problem as I find it challenging to grasp. I require assistance specifically with sections G and h, and I'm struggling to comprehend them. Kindly review these parts attentively. The problem involves a state diagram, and it would be greatly helpful if you could incorporate visual aids like circles to enhance my understanding. I'm seeking guidance specifically for sections G and h, and I would appreciate it if you could label those parts for clarity.

1.6 Give state diagrams of DFAs recognizing the following languages. In all parts, the
alphabet is {0,1}.
a. {w w begins with a 1 and ends with a 0}
b. {w w contains at least three 1s}
c. {w w contains the substring 0101 (i.e., w = x0101y for some x and y)}
d. {w w has length at least 3 and its third symbol is a 0}
e. {w w starts with 0 and has odd length, or starts with 1 and has even length}
f. {w w doesn't contain the substring 110}
g. {w the length of w is at most 5}
h. {w w is any string except 11 and 111}
i. {w every odd position of w is a 1}
j. {w w contains at least two Os and at most one 1}
k. {e, 0}
1. {w w contains an even number of Os, or contains exactly two 1s}
m. The empty set
n. All strings except the empty string
Transcribed Image Text:1.6 Give state diagrams of DFAs recognizing the following languages. In all parts, the alphabet is {0,1}. a. {w w begins with a 1 and ends with a 0} b. {w w contains at least three 1s} c. {w w contains the substring 0101 (i.e., w = x0101y for some x and y)} d. {w w has length at least 3 and its third symbol is a 0} e. {w w starts with 0 and has odd length, or starts with 1 and has even length} f. {w w doesn't contain the substring 110} g. {w the length of w is at most 5} h. {w w is any string except 11 and 111} i. {w every odd position of w is a 1} j. {w w contains at least two Os and at most one 1} k. {e, 0} 1. {w w contains an even number of Os, or contains exactly two 1s} m. The empty set n. All strings except the empty string
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