Construct Finite Automata equivalent to the Regular expression. L = ab + (aa + bb)(a+b)*

Q: Construct Pushdown Automata (PDA) for the language {a2nbn‒2} for n=2,3,4,…  defined over ∑={a,b}.

A: The language given

Q: Give a high-level description of a Turing machine that accepts the following language: E = {#x, #x,…

A: Given To check the following language that accepts by the Tuning machine.…

Q: 4.c Lineal Algebra Please provide a well explained solution for the following. which statements…

A: The given statement is, " A is invertible." Since, A is invertible, then A-1 exists and A≠0.  Hence,…

Q: What is the cardinality of the set of 2 x 2 matrices over N? Prove your answer.  Note: a 2 x 2…

A:

Q: 3. Give an example of two languages A and B that are not regular such that their union AUB is…

A: The union of two not regular languages is regular.

Q: (c) Let L be the language of all equations + a1Xd-1 +...+ ad-1X + ad = 0, with unknown X and integer…

A: Given: a0Xd+a1Xd-1+...+ad-1X+ad=0 To find: 1) L is semi-decidable. 2) Algorithm.

Q: [2 Let A = |3 1 1 1] 3 2 1] 1 1 2 2 3 2 1 and B 1 Compute AB 3 1

A: Using Matrix Multiplication.

Q: Find the null space for A. 2 -6 A = -3 1 -3 null(A) = spane

A:

Q: Show that gcd(a, bc) = 1 if and only if gcd(a, b) = 1 and gcd(a, c) = 1.

A: Consider, gcd(a, b) =1 and gcd(a, c) = 1. If gcd(a, b) =1 then there exist integers m and n such…

Q: .

A:

Q: (a) The following are equivalent in a Boolean algebra: (1)a + b = b.(2)a * b = a.(3)a' + b = 1,(4)a…

A: (1) The given equation is: a+b=b

Q: A−1 in the block form.

A:

Q: 2. Determine the language L over the alphabet A = {a, b} accepted by the finite state automaton…

A: We can clearly see φ∈L The required Language accepted by the above finite Automator

Q: if X = N = { 1, 2, ... 3 and A = EACX, A is infinit?? A is algebra?

A: Given  X=N=1, 2, 3, ..........   And A=A⊂ X, A is finit

Q: Derive a formula for E-1 Qiwhere Qi represents number of edges of n-dimensional cube and prove the…

A: As indicated, we shall use mathematical induction.

Q: Provide an appropriate response. %3D 5 -3

A: We have to do matrix multiplucation.

Q: Given an arithmetic function Y = 4A – B. Design a module that can perform the computation for the…

A:

Q: Mbps) from a particular network. Find Qg. 0.2 0.2 13 2.3 2.4 3.9 5.1 5.5 7.9 10.2 11.2 15.6 27.5 Q3…

A: Step-by-step procedure to obtain Quartile using Excel is given below: In Excel sheet, enter Data in…

Q: Question is Theory of Automata Convert FA To RE (Regular Expression

A: Given:

Q: ) Use the matrix form of the Euclidean algorithm to find integers (3) 8, t such that s(131) + t(150)…

A:

Q: Write a regular expression to describe inputs over the alphabet {a,b,c} 1. That are in sorted order…

A: a)since we want the strings in sorted order, a should be followed by b, and b should be followed by…

Q: consider the following arrays defined in Matlab's workspace z=[2 9 0 ; 7 5 6] Retrieve or create…

A: Given,

Q: (a) Describe completely by short exact sequence the binary linear code in perspective of F2(X;Zo].…

A: Binary linear codes consist of 2k codewords, each codeword is a binary y vector of length N Any two…

Q: The_____ of A and B consists of all elements in either A or B or both.

A: The_____ of A and B consists of all elements in either A or B or both.   The answer of the above…

Q: 7.21 A set of five codewords for a vector quantization algorithm is shown below. Draw the cells…

A:

Q: 7. Let H = {3,2} and two operations * and *' on H defined as follow: 3 ** 3 2 3 3 3 2 2 2 Is (H, *,…

A: This question is about application of Boolean algebra

Q: State and Prove Pick’s Theorem.

A: Let P⊂ℝ2 be a polygon with all vertices on lattice points on the grid Z2. Let  I be the number of…

Q: Design a Turing Machine to compute fxy)= 3x+ 2y where x and y are positive integers %3D represented…

A: The input to our tape will be u(x) + u(y) and the output will be u(3x + 2y). First, mark all the 1s…

Q: 1. Simplify the given Boolean expressions to a minimum number of literals a. (X + Y)' (X' + Y')

A: Let's find.

Q: 2. a) b) c) Let M be the pushdown automata (PDA) defined as: M = ({90, 91, 92]}, {a, b, c}, {A}, 8,…

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Q: One of the following is an axiom of 2 points the definition of the Pre-Hilbert space =- =+ O =-i

A:

Q: Find the null space for A. 1 A = -3 -4 -1 6 -6 null(A) = span 2.

A:

Q: 7. Let A = Compute A? and A³ . What will A" turn out to be?

A: Given the matrix A

Q: Design a deterministic finite automaton that accepts all binary strings that correspond to a value…

A:

Q: 9. For the three-part question that follows, provide your answer to each part in the given…

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Q: Propose a Turing Machine that :accepts the following language L = {02n1n: n > 0} k=2 and check it…

A: In the question it is provided a language: L=02n1n:n≥0 The objective is to propose a Turing…

Q: Determine whether the statement, '(AB)-1 = A-1 B-1, assuming A, B, and AB are invertible', is true…

A: AB-1=A-1B-1, assuming A, B and AB are invertible.

Q: Find the elements in the third row first column of matC. matC = 3matA - mat B -1 5] 5| тatB 3] 3 1…

A:

Q: 7. solve the equaHon: vax-9 -1=X write answerls) as a list of #S, using commas tö seperate values.

A:

Q: et B represent a Boolean algebra with operations + an

A: We have to prove that a,b∈B,a·b+a=a

Q: Every Boolean algebra (B, tiplication by the formulas a +b- (a A b') V (a' A b), a b a Ab, be B

A: Given a+b=a∧b'∨(a'∧b), a.b=a∧b, for all a,b∈B

Q: M/a = np, for a

A: Given ,  M/a = np  We have to solve for a  Then ,  Cross multiply

Q: (b) Show that if m < n, then any m x n such array can be extended to a (m + 1) x n array satisfying…

A:

Q: Construct a finite state machine that models a vending machine accepting only quarters that…

A: The inputs are quarters and button. The outputs are nothing, orange juice and a quarter. The machine…

Q: What is the Boolean expression corresponding to the shown digital circuits? A B OF = A(B+C) F= ABC'…

A: The solution is given below

Q: 28. Find the Boolean product of A and B, where [1 0 0 17 A =0 1 01 1 1 and B =

A: A=100101011111B=10011110To find A⊙B

Q: (a) Prove that the product of two even permutations is even.

A: please post the multiple question separately. Here I answered 1st question only as per our policy.

Q: Consider Deg the lattice of ll positive divisors of 63 under the partial order of divisibility. (a)…

A: A Lattice is called a Boolean algebra if each element has exactly on complement and Distributive.…

Q: Find the generalized union and intersection: 1. A = {1,2,3,...} 2+1 Q-(무)

A: Let us find the generalized union and intersection of the given indexed set in the next step.