Consider a vocabulary consisting of the nucleotide bases V = {A, T, G, C}.Construct a DFA to recognize strings which end in AAGT .(a) Draw the DFA with clear markings of all states including start and acceptance state(s).(b) Simulate the DFA to show that string T GAAGT will be accepted by the DFA.(c) Simulate the DFA to show that string T AAGT G will not be accepted by the DFA.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.7: Introduction To Coding Theory (optional)
Problem 4E
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Consider a vocabulary consisting of the nucleotide bases V = {A, T, G, C}.
Construct a DFA to recognize strings which end in AAGT .
(a) Draw the DFA with clear markings of all states including start and acceptance state(s).
(b) Simulate the DFA to show that string T GAAGT will be accepted by the DFA.
(c) Simulate the DFA to show that string T AAGT G will not be accepted by the DFA. 

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