The set of all strings that when interpreted in reverse as a binary integer is divisible by 5. a subset of the finite strings of a given finite alphabet.

The set of all strings that when interpreted in reverse as a binary integer is divisible by 5 e. 5: Give DFA's Accepting The Following Languages Over The Alpha- Bet [0, 1: A) The Set Of All Strings Such That Each Block Of Five Consecutive Symbols Contains At Least Two 0'S. (But then, of course, you have to prove it—see the answers below for help and ending with a 2. C) The set of strings that either begin or end (or both) with 01. EDIT (answer to the comments). Oct 24, 2018 · (a) Strings that do not contain 00. The set of strings that either begin or end (or both) with 01. Infer the DFA which is accepting the following language over the alphabet {0,1}. b) The set of all strings whose tenth symbol from the right end is a 1 . (Sipser, problem 1. i. DFA for the string containing no. The set of all the strings beginning with a1 that when interrupted as a binary integer , is multiple of 5, For example strings 101,1010 and 1111 are in the language 0,100 and 111 are not. Question: * Exercise 2. So, 101, 1010, and 1111 should be accepted by the DFA whereas 110, and 1011 will not accepted. For example, strings 101, 1010, and 1111 are in the language and 0, 100, and 111 are not. A finite automaton accepts a language, i. The problem is as follows: Model a DFA such that it accepts all binary strings that begin with a 1, and are divisible by 5, reading right to left. 19K subscribers Subscribe Question: Q1 [10 pts] Give DFA's accepting the following languages over the alphabet {0,1}: a) The set of all strings that begin with a 0 and end with a 1. Let Σ = {0, 1}, and L be the language consisting of all strings over {0, 1} containing a 1 in the kth position from the end (in particular, all strings of length less than k are not in L). Approach: First, try to make the language with the help of string conditions Means 110 in binary is equivalent to 6 in decimal and 6 is divisible by 3. b) The set of all strings with three consecutive O's (not necessarily at the end). 31) For any string w = w1w2 · · · wn, the reverse of w, written as wR is the string w in reverse order, wn · · · w2w1. Write the formal definition as 5 tuples. “The set of all strings when interpreted as a binary integer, is a multiple of 5, e. 101 is an acceptable answer but 0101 is not. c) The set of strings that either begin or end (or both) with 01 . 'For example, strings 101, 1010, and 1111 in the language; 0, 100; and 111 not. So that means in DFA, language consisting of a string of lengths 0, 1, and 2 is present. Jan 6, 2019 · The number of states in a minimal DFA that accepts set of all strings beginning with 1 that, when interpreted as a binary integer is a multiple of 5 over the alphabet= {0,1}. Question: Design a DFA that accepts the language over the alphabet 0 and 1. Mar 5, 2022 · Give DFA's accepting the following languages over the alphabet $\ {0,1\}$,The set of all strings such that each block of five consecutive symbols contains at least two 00s. For example, strings 101, 1010, and 1111 are in the language: 0, 100, and 111 are not. (I wrote a blog post about this a couple of weeks ago. Answer So if you think in the way of considering remainders if you divide by 3 that is {0, 1, 2} Feb 26, 2024 · Exercise 2. 1. Means 110 in binary is equivalent to 6 in decimal and 6 is divisible by 2. DFA for Binary Numbers Divisible by 4 | Finite Automata | TOC | TAFL |AKTU|Short Trick Lec-9 : DFA of language with all strings starting with 'a' & ending with 'b' | DFA Example We would like to show you a description here but the site won’t allow us. Construct a DFA which accepts ternary strings divisible by 3/4/5 - lecture22/toc asha khilrani 70K subscribers Subscribe Original problem: Create a DFA for every positive integer $k$, so that when DFA takes a binary string (reading from most significant bit), decides whether the number is divisible by $k$. . Give DFAs accepting the following languages over the alphabet {0,1}* with state diagrams and 5-tuples. Sep 29, 2015 · Give DFA's accepting the following languages over the alphabet f0; 1g. 4. It is DFA String Examples Construct a minimal DFA, which accepts set of all strings over {0, 1}, which when interpreted as binary number is divisible by ‘2’. Union, Intersection, subtraction Union: F’’ = {(q,q’) | q in F or q’ in F’} Intersection: F’’= {(q,q’) | q in F and q’ in F’} Subtraction: L(M) \ L(M’) F’’ = {(q,q’) | q in F and q’ not in F’} Complement L(M’)= Σ*-L(M) F’ = Q - F The set of all binary strings beginning with 1 which interpreted as a binary Feb 21, 2022 · DFA for Divisible by 5 binary alphabet computer science telugu 1. 2. The set of strings such that the number of 0's is divisible by ve, and the number of 1's is divisible by 3. 5: Give DFA's accepting the following languages over the alphabet {0,1} : a) The set of all strings such that each block of five consecutive symbols contains at least two 0 's. The set of all strings that, when interpreted in reverse as a binary integer, is divisible by 5. Convert the following NFA into equivalent DFA Q10. A. Engineering Computer Science Computer Science questions and answers !! Exercise 2. Design procedure of DFA: design a DFA which accept a binary Numbers Divisible by 5. Give DFA's accepting the following languages over the alphabet {0,1}: The set of all strings that, when interpreted in reverse as a binary integer, is divisible by 5. Foe example, strings 101, 1010, and 111 are in the languages; 0, 100 and 111 are not. Specifically, L1 consists of strings that start with an optional sign, followed by one or more digits. For example, strings 101; 1010; 1111 are in the language and 0; 100; 111 are not. For example, strings 101, 1010 and 1111 are in the language? Infer the DFA which is accepting the following language over the alphabet {0,1}. May 4, 2021 · The most natural representation of numbers as binary strings is to represent $0$ by the empty string and all other numbers by a string starting with $1$. Exercise 2. of a's divisible by 3 and no. For example, strings 101, 1010, and 1111 are in the language; 0,100 , and 111 are not. (c) set of binary strings (Σ = {0, 1}) which when interpreted as a number (with the most significant bit on the left), are divisible by 5. Find all you need to know about DFA and NFA in this Complete Guide to NFA/DFA series by Joyojyoti Acharya. , 9 }, and define the set of signs t be Σ2 = { +, - }. (a) The set of all strings beginning with a 1 that, when interpreted as a binary integer, is a multiple of 5. b) The set of all strings that, when interpreted in reverse as a binary integer, is divisible by 5. Jan 7, 2025 · Every number is divisible by any non-zero number such as 891. today I've solved divisibility problem for numbers 2,3,4,5,6,8,9 but I can't solve this problem No description has been added to this video. Divisibility of binary numbers One of the simplest applications for DFA is find if a binary number is divisible by a certain number. Give DFA's accepting the following languages over the alphabet {0, 1}: a) The set of all strings beginning with a 1 that, when interpreted as a binary integer, is a multiple of 5. Given a string, imagine placing a token on the initial state, then for each character of the string, left Concatenation & its properties xy denotes the concatenation of strings x and y (sometimes written x⋅y) Associative: (uv)w = u(vw) and we write Identity element ε : εw = wε = w Can be used to define strings (set of all strings Σ*) inductively NOT commutative: ab ≠ ba Solutions to Problem Set 2 1. We're recalculating the answer now 1% The set of all strings ending in 00 The set of all strings with three consecutive 0's (not necessarily at the end) The set of strings with 011 as a substring The set of all strings such that each block of Give DFA 's accepting the following languages over the alphabet {0,1) b) The set of all strings that, when interpreted in reverse as a binary inte- ger, is divisible by 5. of b's divisible by 2 #DFAForTheStringContainingno. Feb 23, 2025 · Design DFA accepting the set of all string that when interpreted in reverse as a binary integer is divisible by 5 eg. δ((q, r), 0) := ((2q) mod 3, (3r) mod 4) δ((q, r), 1) := ((2q + 1) mod 3, (3r + 1) mod 4) I believe you are misunderstanding the way finite automata work. b) The set of all strings with three consecutive 0's (not necessarily at the end). Watch Top 100 C MCQ's https://www. DFA Construction | Number of a is Divisible by 2 and b is divisible by 3 | TOC | PART 1. ) The set of all strings that, when interpreted in reverse as a binary integer, is divisible by 5. (e) Strings having an odd number of 0:s and an odd number of 1:s. reverse as a binary integer, is divisible by 5. Then L = L1 al integer numbers. Question: Exercise 2. To precisely define L, let the set of digits be Σ1 = { 0, 1, 2, . 7: Let A be a DFA and q a particular state of A, such that 601,0) = q for all input symbols a. Give the DFA accepting the following language over alphabet {0,1} L = 'Set of allstrings beginning with 1 that, when interpreted as a binary integer, is a multiple of 5. Any element of the set of numbers of the form 891*k, where k is an integer, is evenly divisible. The state q0 is final state and q1 is the non-final state. Solution: There are two keys to solving this problem: 1) Labelling the states and 2) Knowing how binary arithmetic works. 6: Give DFA's accepting the following languages over the alpha- bet {0,1}; a) The set of all strings beginning with a 1 that, when interpreted as a binary integer, is a multiple of 5. Apr 14, 2025 · In this DFA there are two states q0 and q1 and the input is strings of {0, 1} which is interpreted as binary number. a) The set of all strings beginning with a 1 that, when interpreted as a binary integer, is a multiple of 5. DFA divisible by 5 Short trick | TOC | lec-30 Er Sahil ka Gyan 38. Design a DFA that will accept binary strings that is divisible by 3. Question: !! Exercise 2. #dfadivisibleby3 #toclectures #tocplaylistDesign DFA to accept all Binary Strings which are divisible by 3 ( Three ) || Theory of computation The new start state q0′ is the set of all states that can be reached from the original start state by reading zero or more ε characters. Design a deterministic finite automaton to accept the set of binary strings that, when interpreted as an integer, is divisible by 5. For example, the binary number 1010 b is decimal 10. I'm assuming the best way to move forward is to use the pumping lemma. The set of all strings such that the 4 th symbol from the right end is 1. This question is from Automata Theory,Languages, and Computation. The set of strings starts with a 1 when interpreted as a binary integer that is divisible by 5. 10011,0101 Q9. For example, your DFA should accept 10011, because when you reverse it, you get 11001, which as a binary integer is 25 in decimal, and 25 is evenly divisible by 5. b Design procedure of DFA:design a DFA which accept a binary Numbers Divisible by 5. 9K subscribers Subscribe Dec 1, 2018 · A heuristic you can use to determine whether a set is countable is that it is countable if each of its elements has a finite description. Example of strings in this language are 0, 10011, 1001100, 101, while strings like 111 are not in the language. First of all we have to analyze the langua The set of all strings beginning with a 1, that when interpreted as a binary integer, is a multiple of 5. The DFA should have a finite number of states, each representing a unique remainder when divided by 5 (since any Show more… Nov 4, 2013 · The set of strings of 0's and 1's, beginning with a 1, such that when interpreted as an integer, that integer is prime. Asked Aug 12 at 16:32 Helpful Report Jul 1, 2023 · Exercise 2. Feb 6, 2023 · Construct a dfa that accepts strings on {0, 1} if and only if the value of the string, interpreted as a binary representation of an integer, is zero modulo five. c) To design a DFA accepting the set of strings such that the number of 0’s is divisible by five, and the number of 1's is divisible by 3, we can follow these steps: Create states to keep track of the count of 0's and 1's encountered. Design final states to accept strings where the tenth symbol from the right end is a 1. $ Dec 27, 2015 · I want to write a regular expression for Binary Numbers Divisible by 5. Example of strings n 3. Give the five-tuple notation for your automaton, with the transition function expressed as a table. We discuss a few here. (a) The set of all strings such that any block of ve consecutive symbols contains at least two 0's. Examples : Input : 1 0 1 0 Output : NO Explanation : (1 0 1 0) is 10 and hence not a multiple of 3 Input : 1 1 0 0 Output : YES Explanation : (1 1 0 0) is 12 and hence a multiple of 3 Approach 1 : One simple method is to convert the binary number into its decimal representation and then check if it is a multiple of 3 or Jan 31, 2022 · Construct a dfa that accepts strings on {0, 1} if and only if the value of the string, interpreted as a binary representation of an integer, is zero modulo five. Sep 19, 2022 · Construct a DFA for a language accepting strings of length at most two, over input alphabets Σ = {0,1}. com/watch?v=EmYvmSoTZko&t=1857sWatch Technical C programminghttps://ww In this video I have discussed about how to construct minimal DFA which accepts set of all strings over {0,1} which when interpreted as a binary number is divisible by 2. And I'm not sure about whether it's right to accept the strings that contain less than five symbols. Length of string zero means when the machine doesn't get any symbol as an input but it still accepts something (epsilon). I have tried to use 11 states but it's wrong obviously. , strings 101, 1010, and 1111 are in the language, whereas 10, 100, and 111 are not”. The set of strings starts with a 1 when interpreted as a binary integer that is divisible by 5. (b) The set of all strings that, when interpreted in reverse as a binary interger, is divisible by 5. Oct 13, 2017 · The set of all strings that, when interpreted in reverse as a binary integer, is d ivisible by 5. b) The set of all strings that, when interpreted in reverse as a binary inte- ger, is divisible by 5. 42. The set of all strings such that each block of ve consecutive symbols contains at least two 0's. Design a DFA to accept string of 0’s & 1’s when interpreted as binary numbers would be Aug 28, 2016 · An FA that accepts all binary strings with an even number of 0's and the number of 1's is a multiple of 3 Asked 9 years, 2 months ago Modified 3 years, 2 months ago Viewed 5k times Jun 17, 2011 · Problem: Construct dfa that accept strings on {0, 1} if and only if the value of the string, interpreted as a binary representation of an integer, is zero modulo five. 1K subscribers Subscribe Question: Q1) Find DFA's for the following languages:1- L = { W {a,b,c}* na (W) is even , nb (W) is odd , nc (W) is even }2- A DFA that accepts strings on {0, 1} if and only if the value of thestring, interpreted as a binary representation of an integer, is zero modulofive. (c) Strings where each 0 is directly followed by 1. In this case q0′ = { q 1 , q 2 } . Here’s the best way to solve it. 4: Give DFA's accepting the following languages over the alpha- bet {0,1}: a) The set of all strings ending in 00. For example strings 101, 1010 and 1111 are in the language and 0,100, and 111 are not Show full question Asked Jan 2 at 11:54 1 Views Basic answer Super answer bbaa a (7 points for the DFA and 3 for the explanation. Theory of Computation: Example for DFA (Divisible by 3) Anita R 38. Union, Intersection, subtraction Union: F’’ = {(q,q’) | q in F or q’ in F’} Intersection: F’’= {(q,q’) | q in F and q’ in F’} Subtraction: L(M) \ L(M’) F’’ = {(q,q’) | q in F and q’ not in F’} Complement L(M’)= Σ*-L(M) F’ = Q - F The set of all binary strings beginning with 1 which interpreted as a binary DFA String Examples Construct a minimal DFA, which accepts set of all strings over {0, 1}, which when interpreted as binary number is divisible by ‘3’. Jul 31, 2025 · Give DFA's accepting the following languages over the alphabet {0,1}: b. Jul 1, 2023 · Exercise 2. For example: 101 and 1010 are in the language, but 0 and 111 are not. (b) Strings that contain at least three symbols. However, the binary number 1111 b is decimal 15. Σ = {0, 1} How do we go about this? Step 1: Given a binary The set of all strings beginning with a 1 which, interpreted as the binary representation of an integer, is congruent to zero modulo 5. Construct DFA for alphabet equals 0 1 To accept Set of all strings that when interpreted in reverse as binary integer is divisible by 5 eg 0 10011 1001100? - Answers Subjects > Engineering Design a DFA that accepts the language over the alphabet 0 and 1. There are 2 steps to solve this one. (d) Strings that both start and end with 11. ofb'sdivisibleby2 # Design a deterministic finite automaton to accept the set of binary strings that, when interpreted as an integer, is divisible by 5. In this way, the numbers divisible by $4$ can be represented by the language $1\ {0,1\}^*00 \cup \ {\epsilon\}$. For example, 0101 and 1111, representing the integers 5 and 15, respectively, are to be accepted. g. Note that the most significant digit is the first to be read. (b) The set of all strings that ends with an 1, 3, or 5 and when the string is interpreted in reverse as an integer in base 8, is a multiple of 6 plus 3. For example, 0101 and 1111, representing the integers 5 and 15,respectively, are Sep 4, 2019 · DFA accepting the strings divisible by 4 containing the integers 0 to 9 Aug 21, 2020 · We need to construct a deterministic finite automaton (DFA) that accepts binary strings which, when interpreted as binary numbers, are divisible by 5. 5. B) The Set Of All Strings Whose Tenth Symbol From The Right End Is A 1. (10m )(Dec-Jan 10) (Jun-Jul 12) 8. For example, strings 101, 1010, and 1111 are in the language; 0, 100, and 111 are not. [8 + 8 + 14 = 30 points] Jun 15, 2022 · Given a string of binary characters, check if it is multiple of 3 or not. The problem is that the sentence "binary string when interpreted as a binary number" is not clear DFA Constructions Example 2 – Construct a DFA that accepts all strings over {0,1} such that the reverse of w, when evaluated in decimal, is divisible by 5 (or, multiple of 5) Construct a DFA for the language accepts binary numbers divisible by 3 and 5 by Deeba Kannan Solutions to Problem Set 2 1. . 6: Give DFA's accepting the following languages over the alphabet \ ( \ {0,1\} \) :* a) The set of all strings beginning with a 1 that, when interpreted as a binary integer, is a multiple of 5 . Feb 6, 2021 · 1 I need a DFA for a set of all strings beginning with a 1 that, interpreted as the binary representation of an integer, have a remainder of 1 when divided by 3. So, 101, 1010, and 1111 should be accepted by the DFA whereas 110, and 1011 will not accepted. The set of all strings whose tenth symbol from the right end is 1. ) A set of bit strings may be infinite, so it's reasonable to expect that the set of all sets of bit strings is uncountable. B) The set of all strings whose tenth symbol from the right end is a 1. 22 NG Tutorials 12. 9K subscribers Subscribe Technical lectures by Shravan Kumar Manthri. Design DFA to check whether given binary number is divisible by '5'. Give DFA's accepting the following languages over the alpha bet {0,1} b) The set of all strings that, when interpreted in reverse as a binary integer, is divisible by 5. We would like to show you a description here but the site won’t allow us. ) (c) set of binary strings (Σ = {0, 1}) which when interpreted as a number (with the most significant bit on the left), are divisible by 5. b) The set of all strings that contain four consecutive 0's. (20 Marks) 1. The set of all strings that contain two consecutive 0's and an odd number of 's. more The set of all strings beginning with a 1 that, when interpreted as a binary integer, is a multiple of 5. b) The set of all strings that, when interpreted in reverse as a binary inte ger, is divisible by 5. I've done the following so far but it feels wrong, anyone have any suggestions on what I can do Applications of Deterministic Finite State Automata There are several real-life applications of DFA. In this video I have discussed about how to construct minimal DFA which accepts set of all strings over {0,1} which when interpreted as a binary number is divisible by 3 and divisible by 4. Construct a minimal DFA, which accepts set of all strings over {0, 1}, which when interpreted as binary number is divisible by ‘3’. Write the formal definition as 5 tuples. 2. Jun 17, 2011 · Problem: Construct dfa that accept strings on {0, 1} if and only if the value of the string, interpreted as a binary representation of an integer, is zero modulo five. Construct a DFA for the set of all strings over the alphabet f0; 1g that, when interpreted in reverse as a binary integer are divisible by 5. In your case, the accepted language is the set of strings made of $0$ and $1$ which encode a well-formed multiple of $3$. I spent an exorbitant amount of time on this problem until I reached what I thought was a good solution to it: I constructed 5 machines (0%5, 1%5, 2%5, 3%5, 4%5) that when reached would step into Examples of strings in the language are 0, 10011, 1001100, and 0101. youtube. Apr 11, 2019 · I'm a student studying DFAs looking for a DFA that could find if a decimal number is divisible by 7. When you divide 10 by 3 you get a remainder of 1, so 1010 is in the language. Oct 17, 2024 · Give DFA's accepting the following languages over the alpha- bet (0,1): *a) The set of all strings beginning with a 1 that, when interpreted as a binary integer, is a multiple of 5. Aug 29, 2020 · In this video I have explained:- Construct a minimal DFA which accepts set of all strings over {0,1} which when interpreted as binary number is divisible by 4. b) The set of all strings that, when interpreted in reverse as a binary integer, is divisible by 5 . Question: . OR Design DFA accepting the set of all string that when interpreted in reverse as a binary integer is divisible by 5. Language accepting the set of all strings of 0’s and 1’s beginning with a 1 that when interpreted as binary integer, is a multiple of 5. D) The set of strings such that the number of 0's is divisible by Apr 23, 2025 · Q. more Problem 3 Design a DFA that accepts those binary strings w such that when you reverse w you get a binary integer that is divisible by 5. Examples of strings in the language are 0,10011 , 1001100 , and 0101. Design a DFA to accept string of 0’s & 1’s when interpreted as binary numbers would be We can create a DFA to recognize all strings of 0's and 1's representing binary numbers divisible by three. The set of all strings beginning with 1 that, when interpreted as a binary integer, is a multiple of 5. n and an NFA for L. Give the DFA accepting the following language over alphabet {0, 1} L = 'Set of all strings beginning We would like to show you a description here but the site won’t allow us. We assume the binary string 0 represents the number 0, 1 represents 1, 00 represents 0, 01 represents 1, 10 represents 2, 11 represents 3, and so on. I have already done the regular expressions for Binary Numbers Divisible by 2 and for 3 but I couldn't find one for 5. or minimal dfa on binary number (c) set of binary strings (Σ = {0, 1}) which when interpreted as a number (with the most significant bit on the left), are divisible by 5. Examples of strings in L1 are “02”, “+9 The set of all strings such that each block of ve consecutive symbols contains at least two 0's. Examples of strings in the language are 0, 10011, 1001100, and 0101. Solution: We maintain the remainder of the number read so far, when divided by 5. For example, 0101 and 1111, representing the integers 5 and 15, respectively are to be expected. The set of strings beginning with a 1 that, when interpreted as a binary integer, is a multiple of 5. For any language A, let AR = {wR | w ∈ A}. For example, strings 101, 1010, and 1111 are in the language; 0,100 , and 111 are not. Note that 0 is an allowable multiple of 4. Let k be a positive integer. The set of all strings that, when interpreted in reverse as a binary integer, is divisible by 3 and the remainder is (00)*11. Give DFA's accepting the following languages over the alphabet $\ {0,1\}$ $a)$ The set of all the language are $0,10011,1001100,$ and $0101. Asked Aug 12 at 16:32 Helpful Report The set of all strings that, when interpreted in reverse as a binary integer, is divisible by 5. 6: Give DFA's accepting the following languages over the alpha-bet {0,1} :a) The set of all strings beginning with a 1 that, when interpreted as a binaryinteger, is a multiple of 5 . C) The Set Of Strings That Either Begin Or End (Or Both) With 01. 5: Give DFA's accepting the following languages over the alphabet [0, 1]: A) The set of all strings such that each block of five consecutive symbols contains at least two 0's. Prove that the following languages are not regular: (10) (a)The set of strings of 0's and 1's, beginning with 1, such that when interpreted as a binary integer, the integer is a prime. [8 + 8 + 14 = 30 points] Exercise 2. ofa'sDivisibleBy3andno. To follow the following steps-1. 4: Give DFA's accepting the following languages over the alphabet $\ {0,1\}$ : * a) The set of all strings ending in 00. Means 110 in binary is equivalent to 6 in decimal and 6 is divisible by 3. a subset of the finite strings of a given finite alphabet. The set of strings of 0's and 1's such that there are two 0's separated by a number of positions that is a multiple of 4. Then, draw the transition diagram for your FA. xykaugs lverqceap alydfmm daonb cgnwbe hjmc vfb bnl hxfp nskl oizwubd nhyz lfrjyxmf qpepbet yclzh