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.
--------------------------------------
Multiple questions are posted. Answered one. Please
post one at a time. Policy of Chegg.
1. Construct a Finite Automata over Σ={0,1} that recognizes the language {w | w ∈ {0,1}*...
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...
Build deterministic finite automata that accepts the following language over the alphabet Σ = {a, b} L= {all strings that end with b}
Find a finite automata that recognizes the language composed a set of strings containing one or more zeros followed by an equal number of ones? Justify your answer.
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 A) Construct an NFA (non-deterministic finite automata) for the following language. Part B) Convert the NFA from the part A into a DFA L- E a, b | 3y, z such that yz, y has an odd number of 'b' symbols, and z begins with the string 'aa') (Examples of strings in the language: x = babbaa, and x = abaabbaa. However, x-bbaababaa is not in the language.) L- E a, b | 3y, z such that yz, y...
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...
Solve the following Deterministic Finite Automata ( DFA ). For Σ = {0, 1} Construct a DFA M such that L(M) = { w : w ends with 101 followed by an ODD number of 0's} Draw the state diagram and transition table..... 1) Given A Formal Definition M = (Q, Σ, ? , q, F) 2) Trace the Path (Listing States) taken by words state whether each word is accepted or rejected. w = 101010 v = 1010100 u...
I need to construct a deterministic finite automata, DFA M, such that language of M, L(M), is the set of all strings over the alphabet {a,b} in which every substring of length four has at least one b. Note: every substring with length less than four is in this language. For example, aba is in L(M) because there are no substrings of at least 4 so every substring of at least 4 contains at least one b. abaaab is in...
Construct a regular expression that recognizes the following language of strings over the alphabet {0 1}: The language consisting of the set of all bit strings that start with 00 or end with 101 (or both). Syntax The union is expressed as R|R, star as R*, plus as R+, concatenation as RR. Epsilon is not supported but you can write R? for the regex (R|epsilon).
1. Consider the alphabet {a,b,c}. Construct a finite automaton that accepts the language described by the following regular expression. 6* (ab U bc)(aa)* ccb* Which of the following strings are in the language: bccc, babbcaacc, cbcaaaaccbb, and bbbbaaaaccccbbb (Give reasons for why the string are or are not in the language). 2. Let G be a context free grammar in Chomsky normal form. Let w be a string produced by that grammar with W = n 1. Prove that the...