Draw a DFA which accepts the following language over the
alphabet of {0,1}: the set of all strings such that there are two
consecutive 0s or the number of 1s is not divisible by 5. Your DFA
must handle all intput strings in {0,1}*.
(Hint: look at solution of previous question)
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Draw a DFA which accepts the following language over the alphabet of {0,1}: the set of...
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...
1(a)Draw the state diagram for a DFA for accepting the following language over alphabet {0,1}: {w | the length of w is at least 2 and has the same symbol in its 2nd and last positions} (b)Draw the state diagram for an NFA for accepting the following language over alphabet {0,1} (Use as few states as possible): {w | w is of the form 1*(01 ∪ 10*)*} (c)If A is a language with alphabet Σ, the complement of A is...
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
thank you
Design an NFA over the alphabet <={0,1,2,3,4,5,6,7,8,9} such that it accepts strings which correspond to a number divisible by 3. Hint: String can be of any length. Look up the rule for divisibility by 3 if you need. Give the formal definition of the automaton and draw its transition diagram.
1. Construct a Finite Automata over Σ={0,1} that recognizes the language {w | w ∈ {0,1}* contains a number of 0s divisible by four and exactly three 1s} 2. Construct a Finite Automata that recognizes telephone numbers from strings in the alphabet Σ={1,2,3,4,5,6,7,8,9, ,-,(,),*,#,}. Allow the 1 and area code prefixing a phone number to be optional. Allow for the segments of a number to be separated by spaces (denote with a _ character), no separation, or – symbols.
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.
4. Determine the language recognized by the DFA shown below over the alphabet = {0,1}. Figure 3: DFA for Problem 4.
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.
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.