Can you please thoroughly explain part B?

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Can you please thoroughly explain part B? Let Σ {0,1} be an alphabet. Suppose the language...
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 | 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...
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
Please explain the answer shortly! :)
The language of the regular expression (0+10)* is the set of all strings of O's and 1's such that every 1 is immediately followed by a 0. Describe the complement of this language (with respect to the alphabet {0,1}) and identify in the list below the regular expression whose language is the complement of L((0+10)*). (0+1)*11(0+1)* (1+01)* (0+11)* (0+1)*1(8+1(0+1)*)
2. Let Σ={0,1}be the alphabet for this part. Draw an FSM bubble diagram which accepts the language of all binary strings which represent integers evenly divisible by 3. Thus, your machine should accept 0, 11, 110, 1001, 1100, 1111, 10010, etc. We won't be fussy about leading 0's on your integers, so you have the option to accept or reject 00, 011, and also empty string {?}.
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 contain two or three symbols.
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).
Create Regular Expression for the following language: Σ = { 0, 1 } All strings that optionally start with 1111 and must end with 0000.
discrete math box answers do A and B please
2. For this problem, all strings are in the set (0,1) a) Design a Finite State Machine that accepts all and only the strings that (start with 0 and end with 1) or (start with 1 and end with 0). E.g. The following strings would be accepted: 010101, 001, 100, 101010, The following strings would not be accepted: 0110, 1010101, 1,0,.. b) Express the set of strings described above as a...
John Doe claims that the language L, of all strings over the alphabet Σ = { a, b } that contain an even number of occurrences of the letter ‘a’, is not a regular language. He offers the following “pumping lemma proof”. Explain what is wrong with the “proof” given below. “Pumping Lemma Proof” We assume that L is regular. Then, according to the pumping lemma, every long string in L (of length m or more) must be “pumpable”. We...