Give a DFA over {a,b} that accepts all strings containing a total of exactly 4 'a's (and any number of 'b's).
For each state in your automaton, give a brief description of the strings associated with that state.
Give a DFA over {a,b} that accepts all strings containing a total of exactly 4 'a's...
Part B - Automata Construction Draw a DFA which accepts the following language over the alphabet of {0,1}: the set of all strings such that the number of 0s is divisible by 2 and the number of 1s is divisible by 5. Your DFA must handle all intput strings in {0,1}*. Here is a methodical way to do this: Figure out all the final states and label each with the shortest string it accepts, work backwards from these states to...
For ∑ = {a, b}, construct a dfa that accepts the set consisting of all strings with exactly one a
For ∑ = {a, b}, construct a dfa that accepts the set consisting of all strings with at least one b and exactly two a’s
1.A: Let Sigma be {a,b}. Draw a DFA that will accept the set of all strings x in which the last letter of x occurs exactly twice in a row. That is, this DFA should accept bbabbbaa (because there are two a's at the end), and aaabb (two b's), but should not accept aaa (3 a's in a row, and 3 is not exactly 2), nor single letter words such as 'b', nor baba, etc.
Automata Question. Over the alphabet Σ = {0, 1}: 1) Give a DFA, M1, that accepts a Language L1 = {all strings that contain 00} 2) Give a DFA, M2, that accepts a Language L2 = {all strings that end with 01} 3) Give acceptor for L1 intersection L2 4) Give acceptor for L1 - L2
Draw a DFA which accepts the following language over the alphabet of {0,1}: the set of all strings such that there are no consecutive 0s, and the number of 1s is divisible by 5. Your DFA must handle all intput strings in {0,1}*. Here is a way to approach the problem: First focus only building the DFA which accepts the language: As you build your DFA, label your states with an explanation of what the state actually represents in terms...
Construct an DFA automaton that recognizes the following language of strings over the alphabet {a,b}: the set of all strings over alphabet {a,b} that contain aa, but do not contain aba.
Build a DFA that accepts the described language: The set of strings over {a, b} in which every a is either immediately preceded or immediately followed by b, for example, baab, aba, and b.
1) Assume ∑ = {a, b}, construct a DFA to recognize: {w | number of a's in w ≥ 2 and number of b's in w ≤ 1}. (seven states) 2) Assume ∑ = {a, b}, construct a DFA to recognize: {w || w | ≥ 2, second to the last symbol of w is b}. (four states) 3) Write a regular expression for: All bit strings that contain at least three 1's.
For Σ = {a, b}, construct a DFA that accept the sets consisting of all strings with at least one b and exactly two a's. Note: provide input to thoroughly test the DFA.