Question

Each of the following languages is the union or intersection of two simpler languages. In each...

Each of the following languages is the union or intersection of two simpler languages. In each part, construct DFAs for the simpler languages, then combine them using the construction discussed in class to give the state diagram of a DFA for the language given. In all parts, Σ = {0,1}.

1. {w|w starts with an 0 and has at most one 1}

Engineering   Computer-Science   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

DFA for the language is:-

Explanation:-

  • If the word start with 1 then it will go in trap state because every word will start with 0.
  • After, receiving any number of 0s DFA will check for 1 and if there are atmost one 1 then string is accepted else if there are more than one 1 then it will go in the trap state.
  • Two final states since, if string consist of only 0's then it needs to be accepted and if it consists of atmost one 1 then it is also accepted.
0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Draw the state diagram of DFAs recognizing the following languages. a. A = {w|w starts with...
Draw the state diagram of DFAs recognizing the following languages. a. A = {w|w starts with 0 and has odd length, or starts with 1 and has even length} b. B = {w|w is any string except 11 and 111} c. C = {, 0} Example of set difference: A = {0, 01}, and B = {0, 11}. Then, A − B = {01}. Prove that regular languages are closed under the set difference operation. That is, if A and...
3. (15 pt.) Prove that the class of regular languages is closed under intersection. That is,...
3. (15 pt.) Prove that the class of regular languages is closed under intersection. That is, show that if ? and ? are regular languages, then ? ∩ ? = {? | ? ∈ ? ??? ? ∈ ?} is also regular. Hint: given a DFA ?1 = (?1 , Σ, ?1 , ?1 , ?1) that recognizes ? and a DFA ?2 = (?2 , Σ, ?2 , ?2 , ?2) that recognizes ?, construct a new DFA ?...
1.2 Which of the following statements is wrong?        a). A set is a subset of itself...
1.2 Which of the following statements is wrong?        a). A set is a subset of itself        b). Emptyset is a subset of any set        c). A set is a subset of its powerset        d). The cardinality of emptyset is 0 1.3. Which of the following statements is correct?        a). A string is a set of symbols from an alphabet        b). The length of the concatenation of two strings can           be the same as one of them        c). The length of...
Compute each of the following probabilities. Label each problem clearly and show all your work. Use...
Compute each of the following probabilities. Label each problem clearly and show all your work. Use the numbers you computed in earlier parts of the project based on the class data set. Problem 1: Suppose all of the Skittles in the class data set are combined into one large bowl and you are going to randomly select one Skittle. (a) What is the probability that you select a green Skittle? (4 points) (b) What is the probability that you select...
As you saw from the lab PowerPoint slides last week, you will be doing a research...
As you saw from the lab PowerPoint slides last week, you will be doing a research study looking at ‘Aggression Priming” for your first paper. For this week’s discussion, I want you to discuss with your group what you think this study is about. What is the hypothesis? What theory does it come from? What do you predict will happen (do you expect something different than the hypothesis in the researcher instructions? If so, what and why?)? Do you think...
1) Describe an example of each of the following that may be found of your kitchen:...
1) Describe an example of each of the following that may be found of your kitchen: Explain how your choice falls into this category, and if there is a chemical name or symbol for it, provide that as well. Provide a photo of your example with your ID card in it. a) a compound b) a heterogeneous mixture c) an element (symbol) Moving to the Caves… Lechuguilla Caves specifically. Check out this picture of crystals of gypsum left behind in...
ECO 101-S70: Final Quiz 2 CHAPTER 3: Demand, Supply and Equilibrium 1. Which of the following...
ECO 101-S70: Final Quiz 2 CHAPTER 3: Demand, Supply and Equilibrium 1. Which of the following could cause a decrease in consumer demand for product X? a.   a decrease in consumer income b.   an increase in the prices of goods which are good substitutes for product X c. an increase in the price which consumers expect will prevail for product X in the future d. a decrease in the supply of product X 2. If two goods are substitutes for...
1.    Observations are all of the following, as an assessment technique, except a.    completed in informal...
1.    Observations are all of the following, as an assessment technique, except a.    completed in informal and formal (e.g., laboratory) settings b.    useful in providing information that may not be obtained through other assessment techniques c.    difficult to complete under some circumstances d.    useless in providing information that is of clinical relevance 2.    The MMPI-2 is what? a.    an IQ test b.    a projective test c.    an objective test d.    a blood test                            ...
Please review the following below and provide , one-page reaction to this budget proposal. 1. Budget...
Please review the following below and provide , one-page reaction to this budget proposal. 1. Budget The President’s Budget and Health Care While the president’s budget is not likely to be acted upon by Congress, it does signal what the administration’s priorities are—as well as what policy initiatives they might push. Repeal the Affordable Care Act: The administration’s budget includes a plan that is based upon the plan put forward by Sens. Lindsey Graham (R-SC) and Bill Cassidy (R-LA) last...
Plagiarism Certification Tests for Undergraduate College Students and Advanced High School Students These tests are intended...
Plagiarism Certification Tests for Undergraduate College Students and Advanced High School Students These tests are intended for undergraduate students in college or those under 18 years of age. Read these directions carefully! The below test includes 10 questions, randomly selected from a large inventory. Most questions will be different each time you take the test, You must answer at least 9 out of 10 questions correctly to receive your Certificate. You have 40 minutes to complete each test, and you...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT