![Recall, a DFA is described using a 5-tuple (Σ s, so, δ, F) Consider the following description of DFA: S - (s, s, s2) F (s2) [15 points] Draw the corresponding DFA](http://img.homeworklib.com/questions/ef50e600-5ac8-11eb-992a-f90a0a72b5cf.png?x-oss-process=image/resize,w_560)
Homework Answers
Acc. to the given transitions, initial state, and final state, the DFA can be drawn as follows:
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Recall, a DFA is described using a 5-tuple (Σ s, so, δ, F) Consider the following...
you're given an DFA M=(Q, Σ, δ, q0, F). show how to construct the 5-tuple for...
you're given an DFA M=(Q, Σ, δ, q0, F). show how to construct the 5-tuple for a new NFA N with L(N)=L(M)⋃{ε}
Any answer that involves a design for a Finite Automaton (DFA or NFA) should contain information...
Any answer that involves a design for a Finite Automaton (DFA or NFA) should contain information about the following five components of the FA (corresponding to the 5-tuple description): i) The set of states Q; ii) the alphabet Σ; iii) the start state; iv) the set of final states F; v) the set of transitions δ, which can be either shown in the form of a state diagram (preferred) or a transition table. You can either present the answer in...
Question 5. Let Σ = {a, b}, and consider the language L = {a n :...
Question 5. Let Σ = {a, b}, and consider the language L = {a n : n is even} ∪ {b n : n is odd}. Draw a graph representing a DFA (not NFA) that accepts this language. Question 6. Give a brief description of the language generated by the following production rules. S → abc S → aXbc Xb → bX Xc → Ybcc bY → Yb aY → aa aY → aaX
I need help with that 5. Let Σ-ta, b). Write the δ function for the following...
I need help with that
5. Let Σ-ta, b). Write the δ function for the following (1) dfa (δου'Qu Σ-Q) and (2) nfa (5,ra : Q x (BU {λ)) → P(D) respectively. 92 92 6. Give the languages accepted by the dfa and nfa in the above 6 (1) and 6(2), respectively 7. (1) When is a language L called as regular? (2) (i) Prove language L = {а"wb: we {a, b) *,n2 O} įs regular by design an nfa...
Solve the following Deterministic Finite Automata ( DFA ). For Σ = {0, 1} Construct a...
Solve the following Deterministic Finite Automata ( DFA ). For Σ = {0, 1} Construct a DFA M such that L(M) = { w : w ends with 101 followed by an ODD number of 0's} Draw the state diagram and transition table..... 1) Given A Formal Definition M = (Q, Σ, ? , q, F) 2) Trace the Path (Listing States) taken by words state whether each word is accepted or rejected. w = 101010 v = 1010100 u...
dy(D), 5) Consider a causal LTI system S described by the following differential equation: 2 +...
dy(D), 5) Consider a causal LTI system S described by the following differential equation: 2 + 3y(t) = x(t). Draw a block digram representation for S. Then, convert this differential equation into an integral equation, and draw a corresponding block diagram representation. dt
Problem 2. Consider the following CFG G-(V. Σ' R, S) where V-(S, U, W), Σ- {a,...
Problem 2. Consider the following CFG G-(V. Σ' R, S) where V-(S, U, W), Σ- {a, b), the start variable is S, and the rules R are: Convert G to an equivalent PDA using the construction described in Lemma 2.21
4. (5 points) Conversion form NFA to equivalent DFA Convert the following NFA into an equivalent...
4. (5 points) Conversion form NFA to equivalent DFA Convert the following NFA into an equivalent DFA by using the Powerset-Construction. Write the transition table and draw the final DFA. start — 9o
Using the properties of the δ-function a) Evaluate6(az - b) f(x) dx for a 0; consider both a > 0 ...
Using the properties of the δ-function a) Evaluate6(az - b) f(x) dx for a 0; consider both a > 0 and a <0. b) Evaluate eiaz δ(x) c) Show for any continuous function f(x) that f(ξ) δ(z_ξμέ f(S) δ(S-x) dE and oO use this to deduce that the Dirac-delta operates as an even function, i.e., δ(x-ξ) δίξ_x). La(n-cme-b)dE-6(-b) d) Show that
Using the properties of the δ-function a) Evaluate6(az - b) f(x) dx for a 0; consider both a >...
(5) Consider the following discrete time signal zln-S[n] + δ[n-1] + a[n-2] + δ n-3] a)...
(5) Consider the following discrete time signal zln-S[n] + δ[n-1] + a[n-2] + δ n-3] a) Compute the DTFT of n b) Compute the DFT4 (DFT with N 4) coefficients for zn], i.e., Xk for k 0,1,2,3. c) Compute the DFTs (DFT with N-8) coefficients for r[n], i.e., Xk for k 0,1,...,7.
I need help with that
5. Let Σ-ta, b). Write the δ function for the following (1) dfa (δου'Qu Σ-Q) and (2) nfa (5,ra : Q x (BU {λ)) → P(D) respectively. 92 92 6. Give the languages accepted by the dfa and nfa in the above 6 (1) and 6(2), respectively 7. (1) When is a language L called as regular? (2) (i) Prove language L = {а"wb: we {a, b) *,n2 O} įs regular by design an nfa...
dy(D), 5) Consider a causal LTI system S described by the following differential equation: 2 + 3y(t) = x(t). Draw a block digram representation for S. Then, convert this differential equation into an integral equation, and draw a corresponding block diagram representation. dt
Problem 2. Consider the following CFG G-(V. Σ' R, S) where V-(S, U, W), Σ- {a, b), the start variable is S, and the rules R are: Convert G to an equivalent PDA using the construction described in Lemma 2.21
4. (5 points) Conversion form NFA to equivalent DFA Convert the following NFA into an equivalent DFA by using the Powerset-Construction. Write the transition table and draw the final DFA. start — 9o
Using the properties of the δ-function a) Evaluate6(az - b) f(x) dx for a 0; consider both a > 0 and a <0. b) Evaluate eiaz δ(x) c) Show for any continuous function f(x) that f(ξ) δ(z_ξμέ f(S) δ(S-x) dE and oO use this to deduce that the Dirac-delta operates as an even function, i.e., δ(x-ξ) δίξ_x). La(n-cme-b)dE-6(-b) d) Show that
Using the properties of the δ-function a) Evaluate6(az - b) f(x) dx for a 0; consider both a >...
(5) Consider the following discrete time signal zln-S[n] + δ[n-1] + a[n-2] + δ n-3] a) Compute the DTFT of n b) Compute the DFT4 (DFT with N 4) coefficients for zn], i.e., Xk for k 0,1,2,3. c) Compute the DFTs (DFT with N-8) coefficients for r[n], i.e., Xk for k 0,1,...,7.
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