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Let L consist of all binary strings beginning with a 1 such that its value when converted to decimal is divisible by 5. Which of the following is true?
  • a)
    L can be recognized by a deterministic finite state automaton.
  • b)
    L can be recognized by a non-deterministic finite state automaton but not by a deterministic finite state automaton.
  • c)
    L can be recognized by a deterministic push-down automaton but not by a non-deterministic finite state automaton.
  • d)
    L can be recognized by a non-deterministic push-down automaton but not by a deterministi push-down automaton.
  • e)
    L cannot be recognized by any push-down automaton.
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Let L consist of all binary strings beginning with a 1 such that its v...
l can be recognized by a dfa. we have a dfa to accept all such strings which when interpretated as decimal number are
divisible by n. where n can be anything the dfa of such can be made by a trick.
states are equal to possible remainders
if u can see the symmetry in it. write states and make fill like q0 q1 q2 q3 ...
now it is saying that it has to always start with 1 which the above dfa will not satisfy so make it a nfa by making a
transition from q0 on zero to a new dead state. now you have a nfa reduce it which will result in a deterministic dfa .
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Let L consist of all binary strings beginning with a 1 such that its value when converted to decimal is divisible by 5. Which of the following is true?a)L can be recognized by a deterministic finite state automaton.b)L can be recognized by a non-deterministic finite state automaton but not by a deterministic finite state automaton.c)L can be recognized by a deterministic push-down automaton but not by a non-deterministic finite state automaton.d)L can be recognized by a non-deterministic push-down automaton but not by a deterministi push-down automaton.e)L cannot be recognized by any push-down automaton.Correct answer is option 'B'. Can you explain this answer?
Question Description
Let L consist of all binary strings beginning with a 1 such that its value when converted to decimal is divisible by 5. Which of the following is true?a)L can be recognized by a deterministic finite state automaton.b)L can be recognized by a non-deterministic finite state automaton but not by a deterministic finite state automaton.c)L can be recognized by a deterministic push-down automaton but not by a non-deterministic finite state automaton.d)L can be recognized by a non-deterministic push-down automaton but not by a deterministi push-down automaton.e)L cannot be recognized by any push-down automaton.Correct answer is option 'B'. Can you explain this answer? for Computer Science Engineering (CSE) 2024 is part of Computer Science Engineering (CSE) preparation. The Question and answers have been prepared according to the Computer Science Engineering (CSE) exam syllabus. Information about Let L consist of all binary strings beginning with a 1 such that its value when converted to decimal is divisible by 5. Which of the following is true?a)L can be recognized by a deterministic finite state automaton.b)L can be recognized by a non-deterministic finite state automaton but not by a deterministic finite state automaton.c)L can be recognized by a deterministic push-down automaton but not by a non-deterministic finite state automaton.d)L can be recognized by a non-deterministic push-down automaton but not by a deterministi push-down automaton.e)L cannot be recognized by any push-down automaton.Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Computer Science Engineering (CSE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let L consist of all binary strings beginning with a 1 such that its value when converted to decimal is divisible by 5. Which of the following is true?a)L can be recognized by a deterministic finite state automaton.b)L can be recognized by a non-deterministic finite state automaton but not by a deterministic finite state automaton.c)L can be recognized by a deterministic push-down automaton but not by a non-deterministic finite state automaton.d)L can be recognized by a non-deterministic push-down automaton but not by a deterministi push-down automaton.e)L cannot be recognized by any push-down automaton.Correct answer is option 'B'. Can you explain this answer?.
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