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(Problem 7) Choose ALL correct statements, if more than one is correct. O (A) The decimal representation for hex number FF is 255. (B) For any integer n > 0, the greatest common divisor gcd (n, 2021) = gcd (n, 2021 mod n). %3D (C) In order to find the inverse of b (mod a), we may first find integers x and y so that ax + by = 1. Then the inverse of b (mod a) is y. (D) The encrypted letters for “CDE" using encryption function f(x) = x – 5 (mod 26) is "XYZ".

(Problem 7) Choose ALL correct statements, if more than one is correct. O (A) The decimal representation for hex number FF is 255. (B) For any integer n > 0, the greatest common divisor gcd (n, 2021) = gcd (n, 2021 mod n). %3D (C) In order to find the inverse of b (mod a), we may first find integers x and y so that ax + by = 1. Then the inverse of b (mod a) is y. (D) The encrypted letters for “CDE" using encryption function f(x) = x – 5 (mod 26) is "XYZ".

Elements Of Modern Algebra
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.7: Introduction To Coding Theory (optional)
Problem 12E: Suppose that the check digit is computed as described in Example . Prove that transposition errors...
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(Problem 7) Choose ALL correct statements, if more than one is correct. O (A) The decimal representation for hex number FF is 255. (В) For any integer n > 0, the greatest common divisor gcd (n, 2021) = gcd(n, 2021 mod n). (С) In order to find the inverse of b (mod a), we may first find integers x and y so that ax + by = 1. Then the inverse of b (mod a) is y. (D) The encrypted letters for "CDE" using encryption function f(x) = x – 5 (mod 26) is "XYZ". (E) None of the above is correct.
Transcribed Image Text:(Problem 7) Choose ALL correct statements, if more than one is correct. O (A) The decimal representation for hex number FF is 255. (В) For any integer n > 0, the greatest common divisor gcd (n, 2021) = gcd(n, 2021 mod n). (С) In order to find the inverse of b (mod a), we may first find integers x and y so that ax + by = 1. Then the inverse of b (mod a) is y. (D) The encrypted letters for "CDE" using encryption function f(x) = x – 5 (mod 26) is "XYZ". (E) None of the above is correct.
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