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 of 0s and 1s. You will then notice that the accepting DFA does not need to be very large. You may even want to first figure out what are all the possible states before you add any specific transitions.
- Complete the DFA with the missing transitions and states.
Homework Answers
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Draw a DFA which accepts the following language over the
alphabet of {0,1}: the set of...
Part B - Automata Construction Draw a DFA which accepts the following language over the alphabet...
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...
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...
Design a DFA with 2 states that accepts the language of all binary numbers that are...
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.
Automata Question. Over the alphabet Σ = {0, 1}: 1) Give a DFA, M1, that accepts...
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
1. Construct a Finite Automata over Σ={0,1} that recognizes the language {w | w ∈ {0,1}*...
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.
Build a DFA that accepts the described language: The set of strings over {a, b} in...
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.
Construct an DFA automaton that recognizes the following language of strings over the alphabet {a,b}: the...
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 deterministic finite automata that accepts the following language over the alphabet Σ = {a, b}...
Build deterministic finite automata that accepts the following language over the alphabet Σ = {a, b} L= {all strings that end with b}
Question 1: Design a DFA with at most 5 states for the language L1 = {w...
Question 1: Design a DFA with at most 5 states for the language L1 = {w ∈ {0, 1}∗ | w contains at most one 1 and |w| is odd}. Provide a state diagram for your DFA. Approaching the Solution --since we haven’t really practiced this type of assignment (i.e. had to define our machine based on only having the language given; not the formal 5 tuples), I am providing the steps for how to work through this; you are...
Construct a Turing Machine (TM) that accepts the following language, defined over the alphabet Σ =...
Construct a Turing Machine (TM) that accepts the following language, defined over the alphabet Σ = {0,1): at accepts the tollowing language, define [10] Give the transition diagram and explain the algorithm implemented by your TM.
Construct a Turing Machine (TM) that accepts the following language, defined over the alphabet Σ = {0,1): at accepts the tollowing language, define [10] Give the transition diagram and explain the algorithm implemented by your TM.
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