Deterministic Finite Automata ( DFA ) with (Type 1: Strings ending with) Examples | 017
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video series "Theoretical Computer Science(TCS)", Automata theory - DFA, NFA Problems with Solutions SET 1 (Concepts, Tricks & ShortCut), Theory of Computation lecture in hindi, tutorial, lecture, iit, DFA NFA Problem SET-Theory of Computation-Video lecture for gate exam preparation computer science, Solution to Problem Set, dfa and nfa examples, DFA which accepts set of all strings starting with a. Find DFA’s which accepts the following languages:
(i) Strings over {a, b} ending in aa.
(ii) String over {a, b} containing three consecutive a’s (that is, contains the substring aaa).
(iii) Strings over {a, b} not containing the substring aaa.
(iv) All strings over {a, b} where each string of length 5 contains at least two a’s.
(v) The set of strings over {a, b} where each pair of a’s immediately succeeds a pair of b’s.
(vi) The strings ε, 001 and 000101.
(vii) Strings over {0, 1} beginning with a 1 and which, if interpreted as a binary number, is a multiple of 5. As an example, the string 1010 should be accepted since 1010, which is a multiple of 5. On the other hand, the string 1110 should not be accepted, since 1110
which is not a multiple of 5.
(viii) {w ∈{a, b}∗ ||w|
a
=2n, |w|
=2m, m, n ∈ N}
(ix) {w ∈{a, b}
∗
||w|
a
b
=3n, n ∈ N} and w doesn’t contain the substring aba.
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