. As stated in Sect. 3.5.2, one important property which makes DES secure is that the S-boxes are nonlinear. In this problem we verify this property by computing the output of S1 for several pairs of inputs. Show that S1(x1)⊕S1(x2) = S1(x1 ⊕x2), where “⊕” denotes bitwise XOR, for: 1. x1 = 000000, x2 = 000001 I KNOW THAT THE ANSWER IS   11102⊕00002≠S1(0000012) 11102≠00002 CAN SOMEONE EXPLAIN HOW DO WE GET THIS NUMBERS? Ty!

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A:

Q: . Consider an impulse response h[n] such that h[n] = 0 for n M, and h[n] =−h[M − n] for 0 ≤ n ≤ M…

A:

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A: Shortest path is V1-&gt;V2-&gt;V4-&gt;V3

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Q: evaluate nCxpxqn-x for the values of n, x, and p given in Problem A) n= 4, x= 2, p=1/2

A: P(X = x) = nCx pxq(n-x) where q = 1 - p Given n= 4, x= 2, p=1/2 So q=1-1/2=1/2

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Q: First give the Trs for this NFA: Trs(q1, 0) = {} Trs(q2, 0) = {} Trs(q2, 1) = {}   Then give…

A: - We have to work with NFA and it's transformations.

Q: Question 2) For the following J-K-FF, sketch output Q assuming Qinitial = 0

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Q: Can u create a multiplier circuit for just P3, P4 and P5

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Q: Let d=d,d,d;d,d,dd, be a valid codeword of Hamming (7,4) code. Suppose a=a,a,a,a,a,a,a, be another…

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Disjoint set forest

The concept of the disjoint set forest was introduced by Bernard A. Galler and Michael J. Fischer in 1964. The disjoint set forest is a method of implementing disjoint sets quickly. In the disjoint-set forest, each tree member points only to its parent. The root of every tree includes its representative and its parent. The disjoint set forest is a special kind of forest that performs Union and Find operations in near-constant amortized time.