QUESTION 5 The sequence 1, 7, 25, 79, 241, 727 ... has a simple formula for {an} is OAn2-2 OB (-3)n +4 OC 3n+1-2 O D.3n - 2

Q: 2. Prove the following in SDE. A V B, A → C, B →→C - C

A:

Q: Simplify the following in sum of products: F(A,B,C,D) = N(4,5,6,7,12,13,14,15) d(A,B,C,D) =…

A: We are given here the Product of Sums and Don't care's. We have to find the Sum of Products from the…

Q: Question 5 Consider the following recognising Finite State Machine (FSM) S3 1,0 1,0 S1 S2 S4 So…

A: for a follow the path S0 -> S1 -> S3 for b follow the path S0 -> S1 -> S2 -> S1 ->…

Q: Question 41 Given the problem of basic multiplication: Input: Two n-digit nonnegative integers, x…

A: Time Complexity: Overall effectiveness of any multiplication or addition can be determined by its…

Q: Simplify the following equation Y=E(12, 8, 2, 6,10,5,7,) With d (0,4,14)

A: A)  AB\CD 00 01 11 10 00 x     1 01 x 1 1 1 11 1     x 10 1     1   Thus output =…

Q: Construct the minimum state DFAS equivalent to the following DFAS using Hopcroft's algorithm. ...i..…

A: Given: HOP Craoft's Algorithm

Q: A. Let U = {1,2,3,4,5,6,7,8,9,10}. A = (1,2,3,4,5,6). B = (1,2,3,5,7), C = (2,4,6,8,10} Determine…

A: Here in this question we have given some sets A B C  and we have asked to do some operation on these…

Q: QUESTION 3 Solve the following system of equations, using the A\b construct, as well as the…

A: Answer : The given system of equation is  12 x1 - 3 x2 + 4 x3 - 2 x4 = 12 x1 + 10 x2 - x3 - 20 x4 =…

Q: Simplify (maw)v(m^-w) to m 1. Select a law from the right to apply Laws Distributive (maw)v(ma¬w)…

A: Law used   (a ∧ b) ∨ (a ∧ c) ≡ a ∧ (b ∨ c) a ∨ ¬a ≡ T a ∧ T ≡ a

Q: 1. Given the following reads; Find the shortest common superstring using greedy algorithm 1- ABCD,…

A: The Answer is

Q: Question 1 7x+x+6r+9r²+4x+5 Let S(x) - 6r + Sx2+2x-7 1. Use Ad-hoc calculations to prove that f(x)…

A: Answer's

Q: Make a BST for the following sequence of numbers 45,32,90,21,55,63,98,22,95,74,99,89

A: BST or binary search tree is a data structure in which the values of the left subtree are less than…

Q: 0 2 6 If M =-1 2 4 Find 3 1 ol 1. M2 2. 2M2 - 13x3 3. det(M")

A: Given:

Q: 1) Give the definition of the big U! What is the Big-O of the following functions: f(n) = 4n2 +3n…

A: As per our guidelines, we are supposed to answer only 1st three parts. Kindly repost the remaining…

Q: 2. Let M₂ be the PDA below: M₂: a λ/A bλ/B a A/λ b B/7. 88 22/2 a) Give the transition table of M₂.…

A: The Answer is in step2

Q: Construct the minimum state DFAS equivalent to the following DFAS using Hopcroft's algorithm. i.…

A: Initial State = q0 Final State = q2 No of state 8 (q0 - q7) Input =  a, b

Q: FIGURE 1,48 Construction of N to recognize Aj o Ay

A: Explanation has been given in the image. See below steps.

Q: Given the matrix below, find AB. 21 o and B = 0 11 ... A =5 4 3 li 3 Choose your answer here. 3 -2 1…

A: We have two matrices A and B.  A has dimension 2×3 that is two rows and three columns.  Similarly B…

Q: 16.SHR AX,4 performs: а. АX/2 b. AX/4 с. АX/8 d. AX/16

A: Given :          SHR AX,4 Shift and Rotate commands are used to convert a number to another form…

Q: 1.• Simplify to POS and expand to canonical POS (product of maxterms). f(x,y,z) = xy+x’z

A: *In case of multiple question we are supposed to answer only the 1st question. Please re-upload the…

Q: Q6 In what follows, let i =V-T denote the imaginary unit. (a) " z = 4 + 5i and w = 2+4i, find 3z +4w…

A: In questions with many questions, we must answer the first one.

Q: c) Apply permutation OI AES on thne following matrix. F2 11 7. 10 D3 4 3 12 A4 B6 10 14 E4 2 B2 E5

A: ANSWER:-

Q: Prove that C = { |M(w) goes into state q4 during its computation} is undecidable.

A: Introduction   Prove that C = { < M,w > |M(w) goes into state q4 during its computation} is…

Q: Let U=(2,-7,1),V=(-3,0,4) and W=(0,5,-8) then 3U-4V is: O (5,-13,-71) O (8,-5,-22) O (18, -21 ,-13)…

A: given U=(2,-7,1) V=(-3,0,4) 3U=3(2,-7,1)=    (6,-21,3) 4V= 4(-3,0,4)= (-12,0,16) 3U-4V =…

Q: Question 7 In model M/G/ /GD/ /00 with A = 15 and u = 30 compute 75 Oa. N5 = 1.3 Ob.ns-0 O. N5-0.5…

A: The solution for the above given question is given below;

Q: answer the following.   A) *Trace the FFT followed by the IFFT on the following polynomial: 2x3 -…

A: Use recursion, FFT: The FFT's core concept is to control and predominate. They partition the…

Q: Consider the following solution to the critical-section problem of two-processes: turn:= 0, busy :=…

A: Mutual exclusion is satisfied only when critical section is accessed by only 1 process at a time…

Q: A given system of linear equations Ax = b can be solved using Gaussian elimination. For the…

A: ANSWER:-

Q: Prove that the following are logically equivalent: 1. qv~ (¬p A q) = r 2. (рАq) V (p А -9) 3D р

A:

Q: Assume you have the following Mealy machine: (0.1.go.6.4.A) Where = (0.1} is the input alphabet set,…

A: Please find your solution below in second step:-

Q: 1 + 3 + 5 + ....... + (2n-1) = n^2 P(k+1) Prove the induction

A: Induction Proof: It is used to prove the particular sequence is true. There are three steps in this…

Q: Question 5 Let P = 2ax + 5ay - 3az, Q = 3ax - 4ay, and R = ax + ay + az. Determine | P - 5R|. А)…

A: As per given information:- P = 2ax + 5ay - 3az Q = 3ax - 4ay R = ax + ay + az

Q: Consider F(w, x, y, z) = E(1,2, 7,8)

A: Solution - In the given question, we have to find the correct answer among the given options.

Q: (b). Determine the asymptotic growth rate of the following expressions and justify your answers:…

A: Find the answer with reason given as below :

Q: 3. a) Give an example of a w E LRN. Explain. b) Show that LRN is decidable. Let LRN = {(R, N) | R is…

A: Answer is given below-

Q: [Problem 4] Assuming that n ≥ 1, formally prove or disprove the following claims a) n²-6n +3 is O(n)…

A: We are asked prove or disprove the given claims where we are assuming that n >=1. Big Oh (O) is…

Q: • If x = -0.8 , then [x – 1] = 1. -2 2. -1 3. -0.8 4. 1 1 2 O 3 4

A: Given: x=-0.8

Q: (x^3+2x)/(2x+1) is O(x^2).

A: According to Big oh definition The function f(x) is O(g(x)) for the values of the constants of c and…

Q: c) Prove for the following sequence g that g, < 2" by either strong or structural induction. 9o 0 92…

A: To prove that gn &lt;= 2n, and we will do so by strong induction as follows: Base Case The base…

Q: 2. Prove the identity of each of the following algebraic manipulation only: A) Y + XZ + XY = X + Y +…

A: Here in this question we have have given some boolean equation and we have asked to prove LHS is…

Q: Question 5 Consider the following recognising Finite State Machine (FSM) S3 1,0 1,0 1 S2 S4 So State…

A: Part d is Not Accepted in the Finite Automata

Q: The Big-O of the following equation is. 3log n+ 5n3-2n

A: Big-O notation represents the upper bound of the running time of an algorithm.    Here take always…

Q: Try to demonstrate mathematically that 3n2+2n+1=O(n2).

A: The definition of O-notation is.... For a given function g(n), we denote O(g(n)) the set of…

Q: 1) Let A = {x EN: x - 16 = 0}. Rewrite A in roster notation. %3D {4} |A| = 1 2) Let B = {x EZ:x² –…

A: Roster form is a representation of a set that lists all of the elements in the set, separated by…

Q: 1. Simplify the following in sum of products: F(A,B,C,D) = N(4,5,6,7,12,13,14,15) d(A,B,C,D) =…

A: F = d(0, 1,2,3) are don't care terms and should be used only if they help in reducing the complexity…

Q: that p q and pq are logically equivalent using a sequence

A: the solution is an given below :

Q: Part IV. If x1 = -2 , X2 = 4 , X3 = 4, x4 = 5, X5 = 7 , X6 = - 4 , X6 = - 4 , X7 = 3 Y1 = 3, Y2 = 5,…

A: Hello Student Greetings Hope you are doing great. I will try my best to answer your question. As you…

Q: Compute the following sets C, D, E, E', F, and G below. Given: A = {1, 2, 3, 4, 5, 8, 10, 12} B =…

A: C = A ∪ B The union of A and B will contain all elements which are in A, which are in B and which…

Q: State/Σ 0 →q0 q1 q1 q0 q2 q1 *q3 q5 q4 q3 *q5 q5 1 q3 q3 q4 q5 q3 q5

A: If we have given NFA we are require to convert NFA to DFA . But during conversion, many number of…

Q: = { w : w = CAjGnTmC, m = j + n }. For example, CAGTTC ∈ L; CTAGTC ∉ L because the symbols are not…

A: given : ∑ = {C,A,G,T}, L = { w : w = CAjGnTmC, m = j + n }. For example, CAGTTC ∈ L; CTAGTC ∉ L…