Design DFA accepting binary strings divisible by a number 'n' Ask Question ... Just see the properties of binary numbers. So I decided to solve the first part of the problem: Accept a string whose number of 'a' is a multiple of 3. I think both of your DFA are correct, a binary number divisible by 2 must not end with 1 i.e (1110,10100.. etc all divisible by 2), and both of your dfa are working correctly for it. The tutorial explains how to use COUNTIFS and COUNTIF formulas with multiple criteria in Excel based on AND as well as OR logic. I am brand new to DFA's and my first exercise requires me to create a DFA instance such that the number of a's in the string is a multiple of 3. Viewed 9k times 1 ... \text{length of w is a multiple of 2 or 3}\}$. Multiples of 27 are 3 and 9 2. If sum of digits in a number is multiple of 3 then number is multiple of 3 e.g., for 612 sum of digits is 9 so it’s a multiple of 3. DFA based division can be useful if we have a binary stream as input and we want to check for divisibility of the decimal value of stream at any time. A two-way deterministic finite automaton (2DFA) is an abstract machine, a generalized version of the deterministic finite automaton (DFA) which can revisit characters already processed. We only have two types of symbols: a, b. But this solution is not efficient. When the number is divisible by 2, then it will go from state q1 to q0 or if it was initially in q0 then it will accept it. To my Multiples of 30 are 3, 5,6,10, 15 * * * * * No, those are FACTORS of the numbers, not multiples! For a number, say 8 (which is 2^3), all its multiples will have the last 3 bits as 0. Related Articles: Check divisibility in a binary stream Check if a stream is Multiple of 3. Problem-2: Construct DFA, which accepts set of all strings over {0, 1} which interpreted as binary number is divisible by 3. Explanation: Refer for solution: Binary … Active 4 years, 1 month ago. Calculator Use. A nondeterministic finite automaton (NFA), or nondeterministic finite-state machine, does not need to obey these restrictions. This is quite easy, you just need 3 states: 1,2,3 with 1 as the start state, if there is an input 'a', you go to the next one, if it's 'b' you stay at that state, and the start state is also the finishing state. In automata theory, a finite-state machine is called a deterministic finite automaton (DFA), if . A two-way deterministic finite automaton (2DFA) is an abstract machine, a generalized version of the deterministic finite automaton (DFA) which can revisit characters already processed. Two-way deterministic finite automaton. answered May 8, 2015 by stblue Loyal ( 7.8k points) The multiples of 27 and 30 are 270 and all its multiples. each of its transitions is uniquely determined by its source state and input symbol, and; reading an input symbol is required for each state transition. The very first solution that comes to our mind is the one that we learned in school. Approach : One simple method is to convert the binary number into its decimal representation and then check if it is a multiple of 3 or not.Now, when it comes to DFA (Deterministic Finite Automata), there is no concept of memory i.e.