Let M = ({go. 91.q2. 93. 94. gs}, {a, b, c, d}, go. fe {q4. qs})be the Deterministic Finite Automaton (DFA) with state transition function, f: defined as follows: f(g0. a) = q1 f(qo. b) = q3 f(q0. c) = q2 f(qo, d) = q3 f(q1, a) = q1 f(q1, b) = q4 f(q1, c) = q1 f(q1, d) = q1 f(q2, a) = q2 f(q2, b) = q2 f(q2. c) = q2 f(q2, d) = qs f(qs, a) = q3 f(qs, b) = q3 f(qs, c) = q3 f(qs, d) = q3 f(q4, a) = q1 f(q4, b) = q4 f(q4, c) = q1 f(q4, d) = q1 f(qs, a) = q2 f(qs, b) = q2 f(qs, c) = q? f(as, d) = q5 i. Draw the transition diagram for the machine, M. ii. Describe the set of strings that accepted by M.

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Discrete Structure 

1. Let M = ({qo. q1, q2, 93, 94. 9s}. {a, b, c, d}, qo, fs, {q4, qs})be the Deterministic
Finite Automaton (DFA) with state transition function, f. defined as follows:
f(g0, a) = q1
f(q0, b) = q3
f(qo, c) = q2
f(qo, d) = qs
f(q1, a) = q1
f(q1, b) = q4
f(q1, c) = q1
f(q1, d) = q1
f(q2, a) = q2
f(q2, b) = q2
f(q2, c) = q2
f(q2, d) = q5
f(qs, a) = q3
f(q3, b) = q3
f(qs, c) = 93
f(q3, d) = q3
f(q4, a) = q1
f(q4, b) = q4
f(q4, c) = q1
f(q4, d) = q1
f(qs, a) = q2
f(as, b) = q2
f(qs, c) = q2
f(qs, d) = q5
i. Draw the transition diagram for the machine, M.
ii. Describe the set of strings that accepted by M.
Transcribed Image Text:1. Let M = ({qo. q1, q2, 93, 94. 9s}. {a, b, c, d}, qo, fs, {q4, qs})be the Deterministic Finite Automaton (DFA) with state transition function, f. defined as follows: f(g0, a) = q1 f(q0, b) = q3 f(qo, c) = q2 f(qo, d) = qs f(q1, a) = q1 f(q1, b) = q4 f(q1, c) = q1 f(q1, d) = q1 f(q2, a) = q2 f(q2, b) = q2 f(q2, c) = q2 f(q2, d) = q5 f(qs, a) = q3 f(q3, b) = q3 f(qs, c) = 93 f(q3, d) = q3 f(q4, a) = q1 f(q4, b) = q4 f(q4, c) = q1 f(q4, d) = q1 f(qs, a) = q2 f(as, b) = q2 f(qs, c) = q2 f(qs, d) = q5 i. Draw the transition diagram for the machine, M. ii. Describe the set of strings that accepted by M.
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