Answered: Discrete math Blocks consisting of…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Discrete math Blocks consisting of successive Os or Is are called run. (such as 000, 1, 11, 00) With a run test, we test whether a password consisting of 0 and 1 is randomly generated as follows: Total number of runs in a n-bit array is (n + 1) /2: The number of runs with a length of 1 is (n + 1) /22; The number of runs with length of k is (n + 1) / 2*+1. For example, for z = 1101000 running password n is 7, and the expected number of runs: 4 according to formula. -The number of runs with a length of 1: (n + 1) /22= 2. - The number of runs with a length of 2: (n + 1) / 23= 1. - Number of runs with a length of 3: (n + 1) /24=0.5 3 1. Indeed, 4 runs for this password is obtained as follows; - Runs with a length of 1: 0 and 1 (2) - Run length 2; 11 (1) - Run with a length of 3; 000 (1) Accordingly, create a flowing password that passes the 15-bit long run test.

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