Consider the following recognising Finite State Machine (FSM) S3 1,0 1,0 S2 S4 So State which of the following strings will be accepted by the FSM a) 11 b) 1001 c) 10001
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- Consider the following language assuming ∑ = {a, b} The total number of a's are even including null The a's can be either consecutive or non-consecutive The number of b's are not restricted, i.e. any number of b's Build an FA using minimum number of states. Write a regular expression. Justify your answers with examples (abbabaa, aaaa, abababab bbb are acceptd; bababbba and bbbaaa, aaa are NOT accepted).Describe a multitape Turing machine with k + 1 tapes that recognizes the language L = {xxh...x n > 1}, E = {x₁, x2,..., xk}. You need to use all tapes in your solution. Do not design the TM. Describe the steps in needs to take.Q#2.(a): Using the FAs corresponding to r1=(a+b)*(aaa+bbb)(a+b)* and r2=aa(a+b)*, build an NFA corresponding to r1+r2 (b): Using the FAs corresponding to r1=(a+b)*(aaa+bbb)(a+b)* and r2=aa(a+b)*, build an NFA equivalent to FA1FA2 NOTE:SUBJECT:THEORY OF AUTOMATA
- For each part, describe whether the following information is easier to remember or difficult to remember, give a proper justification? Similarly, for each part show whether this information is in correct format and also give proper justification that how the following information can increase short term memory? ANY OUC HUNKT HESEL ETTE RSIN TOWO RDSO NLY C Issabrinagoingtogetanewiosphone 1962001199503221879219402010a) What is a Finite State Automaton (FSA)? b) State which of the following sets of input to Finite State Automata(FSA) given in Figure 4 will end on the accepting state? i) ARSDCSDK ii) BBFK iii) ARSEDF iv) BFCSDKK v) FCSDC vi) BBARSEDDraw diagram of a Finite State Machine that accept words defined by the following regular expression: a(a|b)∗a Remember, a machine accepts a word if sequence of transitions will lead to an accepting state. Hint: from start, machine reads characters and stays in undecided state or moves to accepted state.
- Design a finite state machine that accepts the language of all binary strings which starts with 0, and has exactly one occurrence of 010. For example, strings such as 01101011, 010, 00010 should be accepted by the finite state machine. Strings such as 1010, 0111, 010010 should be rejected by the finite state machine.Computer Science State whether the languages over binary strings below are Regular, Context-Free or Turing-recognizable. Use the simplest type. Explain. {ww^r} where w^r is the reverse of string w. And {ww} for any binary string w And {w : w is not a palindrome}I need a proper explanation of the step .. Solution must be in typed form That's a given Alphabet Σ = {a, b, c} and the context sensitive language: L := {wbw ∈ Σ ∗ | w ∈ {a, c} ∗ } , 1. Construct a deterministic, one-volume Turing machine M with T(M) = L graphically. 2. Specify a configuration sequence that accepts input acbac
- Given the state diagram for the deterministic finite state automaton shown below: a. Construct the state table and then determine whether or not this state machine accepts the strings: b. 110011 specify why or why not c. 100100. specify why or why not Note: final states are shown in squares.Reduce the proposition using laws Simplify q∨(w∧¬w) to q Select a law from below to apply to: q∨(w∧¬w) Laws Distributive (a∧b)∨(a∧c)≡a∧(b∨c) (a∨b)∧(a∨c)≡a∨(b∧c) Commutative a∨b≡b∨a a∧b≡b∧a Complement a∨¬a≡T a∧¬a≡F Identity a∧T≡a a∨F≡a Double negation ¬¬a≡aSuppose you have a finite state machine that accepts bit strings divisible by 11. The FSM has 11 states R0, R1, ... , R10, each corresponding to the remainder when dividing by 11. Input is fed to the FSM one bit at a time from left to right, the same way we did in our in-class examples. If the machine is currently in state R7, an input of 1 should transition it to which state? Type the subscript only of the new state. Your answer should be an integer between 0 and 10, inclusive.