e. Suppose you are given a finite state automaton in the form of a state change...
e. Suppose you are given a finite state automaton in the form of a state change diagram. Explain, using graph theoretic terminology, how to find the minimum length input that the automaton accepts.
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e. Suppose you are given a finite state automaton in the form of
a state change...
discrete math a. For the finite state automaton given by the transition diagram, find the states,...
discrete math
a. For the finite state automaton given by the transition diagram, find the states, the input symbols, the initial state, the accepting states and write the annotated next-state table (inspired by Johnsonbaugh, 1997, p. 560). (4 marks) 02 (Johnsonbaugh, 1997, p. 560) a. Prove that k () = n(" - 1) for integers n and k with 1 Sks n, using a i. combinatorial proof; (3 marks) I ii. algebraic proof. (3 marks)
Please help me... 5. (a) Consider the deterministic finite automaton M with states S := {80,...
Please help me...
5. (a) Consider the deterministic finite automaton M with states S := {80, 81, 82, 83}, start state so, single accepting state $3, and alphabet E = {0,1}. The following table describes the transition function T:S xHS. State 0 1 So So S1 So S1 S2 So $1 82 S3 S3 82 Draw the transition diagram for M. Let U = {01110,011100}. For each u EU describe the run for input u to M. Does M accept...
discrete mathematics Leavening question 4 solve others 4. Let be the automaton with the following input set A, state set S and accepting or final ("yes") state set F : A-t, b },s-b"11&...
discrete mathematics
Leavening question 4 solve others
4. Let be the automaton with the following input set A, state set S and accepting or final ("yes") state set F : A-t, b },s-b"11":2},7-bl } . Suppose s, is the initial state of M , and next state function F of M is given by the table B. Draw the state diagram D D() of the automaton 4 5. Construct the state diagram for the finite-state machine with the state table...
discrete mathematics Leavening question 4 solve others 4. Let be the automaton with the following input...
discrete mathematics
Leavening question 4 solve others
4. Let be the automaton with the following input set A, state set S and accepting or final ("yes") state set F : A-t, b },s-b"11":2},7-bl } . Suppose s, is the initial state of M , and next state function F of M is given by the table B. Draw the state diagram D D() of the automaton 4 5. Construct the state diagram for the finite-state machine with the state table...
For each part below, find a finite automaton M which satisfies the given description. Describe M...
For each part below, find a finite automaton M which satisfies the given description. Describe M using both a state diagram and a formal 5-tuple in each part. (a) The language accepted by M is the set of all binary strings which contain exactly 3 1’s. (b) The language accepted by M is the set of all binary strings which contain at least 3 1’s. (c) The language accepted by M is the set of all binary strings which contain...
Thanks very much. State labels do not need to be like So and can in fact be anything you like. This can be quite useful...
Thanks very much.
State labels do not need to be like So and can in fact be anything you like. This can be quite useful for keeping track of the meaning of states if there are a lot of them. In some sense, in modern computers the state labels are given by the bit string which is the contents of the memory, and the operations that the computer does are operations on the state labels finite state automaton that recognises...
QUESTION 1 The following finite state machine is designed to produce an output which toggles continuously...
QUESTION 1 The following finite state machine is designed to produce an output which toggles continuously while its input a is high. A simple circuit implements this finite state machine using the controller model, but no additional hardware. a Off On F=0 F=1 Assuming that circuit starts off with F=0, as shown, fill out the timing diagram for its operation below: clk a O F clk a F clk O a F QUESTION 2 Take a moment to consider the...
Given the following non-deterministic finite state machine: (c) a σ0 o1 σ2 b Find the input...
Given the following non-deterministic finite state machine: (c) a σ0 o1 σ2 b Find the input set V, the accepting states set T, the states set S, and initial (i) state for the machine. (10/100) Write the transition table for the machine (ii) (10/100) (iii) Write the simplest phrase structure grammar, G=(V,T,S,P), for the machine (10/100) Rewrite the grammar you found in question 4(c)(iii) in BNF notation (iv) (10/100) (v) Is the string aabaaba an accepted string by the finite-state...
Design a finite state machine for a traffic light at the intersection of north-south traffic and...
Design a finite state machine for a traffic light at the intersection of north-south traffic and east-west traffic. The light can be red, green or yellow. Assume a 30 second clock. Assume that the light will change only if a car is coming in the other direction. If cars are in both north-south and east-west, the light will change from one direction to the other. What are the machine states? What are the inputs? What are the outputs? Draw state...
1. Given the following wavefunction for the ground state of a finite quantum well of width 2nm, g...
1. Given the following wavefunction for the ground state of a finite quantum well of width 2nm, ground state energy of E1=0.05eV -A cos(kx) and ψ,-Beax A.) Find the values of k and a (remember to keep the wavefunction continuous and smooth)[10ptsl B.) Find the normalization constants A and B (you will need to find k first of course) [10pts] C.) Determine the barrier energy from the decay constant a? [5pts D.)If the well were replaced with a semi-infinite well...
discrete math
a. For the finite state automaton given by the transition diagram, find the states, the input symbols, the initial state, the accepting states and write the annotated next-state table (inspired by Johnsonbaugh, 1997, p. 560). (4 marks) 02 (Johnsonbaugh, 1997, p. 560) a. Prove that k () = n(" - 1) for integers n and k with 1 Sks n, using a i. combinatorial proof; (3 marks) I ii. algebraic proof. (3 marks)
Please help me...
5. (a) Consider the deterministic finite automaton M with states S := {80, 81, 82, 83}, start state so, single accepting state $3, and alphabet E = {0,1}. The following table describes the transition function T:S xHS. State 0 1 So So S1 So S1 S2 So $1 82 S3 S3 82 Draw the transition diagram for M. Let U = {01110,011100}. For each u EU describe the run for input u to M. Does M accept...
discrete mathematics
Leavening question 4 solve others
4. Let be the automaton with the following input set A, state set S and accepting or final ("yes") state set F : A-t, b },s-b"11":2},7-bl } . Suppose s, is the initial state of M , and next state function F of M is given by the table B. Draw the state diagram D D() of the automaton 4 5. Construct the state diagram for the finite-state machine with the state table...
discrete mathematics
Leavening question 4 solve others
4. Let be the automaton with the following input set A, state set S and accepting or final ("yes") state set F : A-t, b },s-b"11":2},7-bl } . Suppose s, is the initial state of M , and next state function F of M is given by the table B. Draw the state diagram D D() of the automaton 4 5. Construct the state diagram for the finite-state machine with the state table...
Thanks very much.
State labels do not need to be like So and can in fact be anything you like. This can be quite useful for keeping track of the meaning of states if there are a lot of them. In some sense, in modern computers the state labels are given by the bit string which is the contents of the memory, and the operations that the computer does are operations on the state labels finite state automaton that recognises...
QUESTION 1 The following finite state machine is designed to produce an output which toggles continuously while its input a is high. A simple circuit implements this finite state machine using the controller model, but no additional hardware. a Off On F=0 F=1 Assuming that circuit starts off with F=0, as shown, fill out the timing diagram for its operation below: clk a O F clk a F clk O a F QUESTION 2 Take a moment to consider the...
Given the following non-deterministic finite state machine: (c) a σ0 o1 σ2 b Find the input set V, the accepting states set T, the states set S, and initial (i) state for the machine. (10/100) Write the transition table for the machine (ii) (10/100) (iii) Write the simplest phrase structure grammar, G=(V,T,S,P), for the machine (10/100) Rewrite the grammar you found in question 4(c)(iii) in BNF notation (iv) (10/100) (v) Is the string aabaaba an accepted string by the finite-state...
1. Given the following wavefunction for the ground state of a finite quantum well of width 2nm, ground state energy of E1=0.05eV -A cos(kx) and ψ,-Beax A.) Find the values of k and a (remember to keep the wavefunction continuous and smooth)[10ptsl B.) Find the normalization constants A and B (you will need to find k first of course) [10pts] C.) Determine the barrier energy from the decay constant a? [5pts D.)If the well were replaced with a semi-infinite well...
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