For the regular expression 1*+(10)*+(100)*, draw a reduced finite-state machine which accepts the same language.
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Question for Discrete Math Structures
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For the regular expression 1*+(10)*+(100)*, draw a reduced finite-state machine which accepts the same language. Show...
(1) Write a regular expression for the language. (2) Define a finite state machine (FSM) that recognizes words in the language (input alphabet, states, start state, state transition table, and accept states). Include a state digraph for the FSM. A: For alphabet {p,q,r}, all strings that contain the substring rqr or end with pp.
Build a deterministic finite-state machine that accepts all bit strings in which the first and last bits are not the same, and that rejects all other bit strings. This problem requires at least five states. Here are three examples of strings that should be accepted: 01 0010011 11110 Here are three strings that should be rejected: 01010 1 11101
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...
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...
Discrete Math!!!! Construct a finite state automaton (show the answer in a state machine diagram), where V = { S, A, B, 0, 1, λ}, T = { 0, 1 }, and G = ( V, T, S, P }, when the set of productions consists of: S → 0A, S → 1B, A → 0, B → 0. S → 1A, S → 0, S → λ, A → 0B , B → 1B, B → 1. S →...
01.7) (13 pts) Modeling using a finite state machine. (a) (10 pts) Design and Draw a Vending Machine (VM) that accepts only I AED and selection of user input such as (Cola, or Masafa, or Cancel) and outputs COLA and MASAF bottles in addition to AEDs and Messages as needed The VM works as follows: It only starts providing COLA after all MASAFI are consumed. The price of MASAFI is 1 AED and the price of COLA is 2 AED....
1. (10 points) (i) Draw a finite automaton M (deterministic or nondeterministic) that accepts the set of all binary numbers with an odd number of I's and ending in 101. Leading zeroes are allowed. (i) Is your machine M deterministic? Why or why not?
a. Draw the transition diagram for the DFA b. Construct a regular expression for the language of the DFA by computing all the R_ij^(k) regular expressions. Consider the following DFA: 1 A В C B A C В
The following finite state machine circuit is a sequence detector, where the state is Y2Y1Y0 and the output is Z. Determine the sequence that will take the finite state machine from the reset state to an output of 0. Show the following information to determine the answer.a. (10 points) The expression for the inputs to the TFFs. b. (20 points) The state table. c. (15 points) The state diagram. d. (10 points) The sequence, from reset, which produces the output of 0.
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...