Give a DFA which will accept all strings of length 3n; n =0, 1. 2. ,,, over ∑ = {a.b}*
Give a DFA which will accept all strings of length 3n; n =0, 1. 2. ,,,...
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.
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.
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
Give a DFA for the following language over the alphabet Σ = {0, 1}: L={ w | w starts with 0 and has odd length, or starts with 1 and has even length }. E.g., strings 0010100, 111010 are in L, while 0100 and 11110 are not in L.
Give the DFA for each sub-problem and the product DFA for the following: {strings that have a 0 and the # of 1’s is odd}.
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.
Draw a DFA that accepts all binary strings of length 4 modulo 7.
Submit a DFA whose language is the set of strings over {a, b} of odd length in which every symbol is the same.
Let Σ = {0, 1). (a) Give a recursive definition of Σ., the set of strings from the alphabet Σ. (b) Prove that for every n E N there are 2" strings of length n in '. (c) Give a recursive definition of I(s), the length of a string s E Σ For a bitstring s, let O(s) and I(s) be number of zeroes and ones, respectively, that occur in s. So for example if s = 01001, then 0(s)...
Give a DFA withoutε-transitionthat acceptsthe set of strings over {a, b}that contain at least one b if its length is at least four: