We work with a sequence with a recursive formula is as follows, Xo = x1 =...
please explain the solutions for #3 a.)
please show all work and clearly
3. (3 pts) Regarding max-length sequence Feedback Equation LFSRS: a) Sketch a max-length sequence LFSR (with FFs and gate-level combination logic) that circulates at least 8 states. Don't use any X2- X1@XO 2 X3- X1 XO 4 X4 X1 XO more components than necessary. An LFSR table is shown. X5 X2 XO X6 X1 XO 5 6 X7 X3 XO X8- X4 X3 eX2 e XO 7...
The initial value of the flip flop outputs {X5,X4,X3.X2.X1.XO} = (1, 0, 1, 1, 0, 1) before any clock pulses. What would it be following 3 following 3 clock pulses? DX5 0x40x30x240 x10 x0- CLK CLK Shift pulses 9 [X5,X4X3X2,X1,XO} = {1, 1, 1, 1, 0, 1} 0 (X5X4X3,X2X1,XO} = (0, 0, 1, 1, 0, 1] 6 X5,X4,X3,X2X1XO) = (0, 0, 0, 1, 0, 1] o X5,X4X3,X2,X1,XO) = (1,0, 1, 0, 0, 0)
Question 1 [10 points] Suppose that the sequence xo, X1, X2... is defined by xo = 2, x1 = 1, and Xk+2 = Xk+1+2xk for k>0. Find a general formula for xk. Be sure to include parentheses where necessary, e.g. to distinguish 1/(2k) from 1/2k. . xk = 0 Official Time: 22:32:44 SUBMIT AND MARK SAVE AND CLOSE
Let a sequence Xo, X1,X2,... be defined in the following way: X12 1) Compute the first 10 terms of this sequence. (2 points) 2) Prove that this sequence is strictly increasing, .e., Vn 20:X >X. (2 points) 3) Prove that Vn 20: Xn S4". What are the base cases? What is the inductive step? (5 points) 4) The above result suggests that this sequence grows in the worst case exponentially, i.e., X 0(4). Consider trying to tighten this bound in...
The initial and final tableaus of a linear-programming problems are as follows: Initial Tableau Basic variables | values | X1 | X2 | X3 | X4 | X5 | X6 rs 710 1 1340 (H2) 12 20 18 40 1 Final Tableau Current Basic variables valuesi r6 TSI-TS r1 150 30 10 x4 15 30 131 (5 Verify the complementary-slackness conditions. m n aiix i i Vi, j=1
The initial and final tableaus of a linear-programming problems are as follows:...
An experiment consists of rolling ten fair dice each numbered 1 to 6. The outcome is the sequence of numbers obtained. Answer the following questions: What is the size of the sample space of this experiment? Let random variables X1, X2, X3, X4, X5, X6 be defined as : Xi is the number of i’s obtained among the 10 numbers that show up. What is the expectation, E(X1 + X2 + X3 + X4 + X5 + X6)? Let A...
All Greens is a franchise store that sells house plants and lawn and garden supplies. Although All Greens is a franchise, each store is owned and managed by private individuals. Some friends have asked you to go into business with them to open a new All Greens store in the suburbs of San Diego. The national franchise headquarters sent you the following information at your request. These data are about 27 All Greens stores in California. Each of the 27...
Question 6: [12 Marks: 5, 3, 41 Let X1, X2, ..., X6 be a random sample from a population following a Gamma distribution with parameters a and B. Consider the following two estimators of the mean (a/b) of this distribution. Ô2 = X And ôz = ž (X1 + X2 + X3) +ś (X4 + X5 + X3) Where I = (X1 + X2 + ... + X6) (a) Determine the sampling distribution of 7 using moment generating functions. (b)...
x = 0 is an ordinary point of a certain linear differential equation. After the assumed solution y = ∞ n = 0 cnxn is substituted into the DE, the following algebraic system is obtained by equating the coefficients of x0, x1, x2, and x3 to zero. 2c2 + 2c1 + c0 = 0 6c3 + 4c2 + c1 = 0 12c4 + 6c3 + c2 − 1 3 c1 = 0 20c5 + 8c4 + c3 − 2 3...
All Greens is a franchise store that sells house plants and lawn and garden supplies. Although All Greens is a franchise, each store is owned and managed by private individuals. Some friends have asked you to go into business with them to open a new All Greens store in the suburbs of San Diego. The national franchise headquarters sent you the following information at your request. These data are about 27 All Greens stores in California. Each of the 27...