Draw a DFA that accepts all binary strings of length 4 modulo 7.
Design a DFA with 2 states that accepts the language of all binary numbers that are divisible by 3. Demonstrate it with a two-state DFA and a proof that the accepted language is precisely binary strings representing numbers divisible by 3. Otherwise, prove that such a two-state DFA is impossible.
For ∑ = {a, b}, construct a dfa that accepts the set consisting of all strings with exactly one a
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.
For ∑ = {a, b}, construct a dfa that accepts the set consisting of all strings with at least one b and exactly two a’s
Design a DFA that accepts the set of all strings with 3 consecutive zeros at anywhere?
2. a. Draw a NFA that accepts all strings over Σ = {?, ?} that either end in ?? or contain the substring ??. b. Then convert the NFA in the previous exercise to a DFA
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...
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...
Draw a dfa for a given language For Σ={a,b), draw a dfa that accepts the language. Clearly mark your start and final states. We were unable to transcribe this image
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.