Question : What is the signed binary sum of 1011100 and 1110101 in decimal? Show all of your work. What is the hexadecimal sum of 9A88 and 4AF6 in hexadecimal and decimal? Show all of your work.
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Q: Undirected vs. directed connectivity. (a) Prove that in any connected undirected graph G = (V, E) there is a vertex v ? V whose removal leaves G connected. (Hint: Consider the DFS search tree for G.) (b) Give an examp ...
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Question : A signal starts at point X. As it travels to point Y, it loses 8 dB. At point Y, the signal is boosted by 10 bB. As the signal travels to point Z, it loses 7 dB. The dB strength of the signal at point Z is -5 ...
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Question : Suppose G is an undirected, connected, weighted graph such that the edges in G have distinct edge weights. Show that the minimum spanning tree for G is unique.
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Question : (a) Suppose that you are given an instance of the MST problem on a graph G, with edge weights that are all positive and distinct. Let T be the minimum spanning tree for G returned by Kruskal's algorithm. Now s ...
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Numerical Analysis Assignment - Q1. Define the following terms: (i) Truncation error (ii) Round-off error Q2. Show that if f(x) = logx, then the condition number, c(x) = |1/logx|. Hence show that log x is ill-conditioned ...
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Problem # 1: Given a sequence x(n) for 0≤n≤3, where x(0) = 1, x(1) = 1, x(2) = -1, and x(3) = 0, compute its DFT X(k). (Use DFT formula, don't use MATLAB function) Use inverse DFT and apply it on the Fourier components X ...
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CALCULUS ASSIGNMENT - Q1. Find the total differential of w = x 3 yz + xy + z + 3 at (x, y, z) = (1, 2, 3). Q2. Find the value of the double integral ∫∫ R (6x + 2y 2 )dA where R = {(x, y)| - 2 ≤ y ≤ 1, y 2 ≤ x ≤ 2 - y. Q3 ...
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Assignment - 1. Let (T, ∧, ∨,', 0, 1) be a Boolean Algebra. Define ∗ : T × T → T and o : T × T → T as follows: x ∗ y := (x ∨ y)' x o y := (x ∧ y)' (a) Show, using the laws of Boolean Algebra, how to define x ∗ y using on ...
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Question 1 - Many spas, many components Consider 4 types of spa tub: Aqua-Spa (or FirstSpa, or P1), Hydro-Lux (or SecondSpa, or P2), ThirdSpa (or P3) and FourthSpa (or P4), with the production of products P1, ..., P4 in ...
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