Apply the Extended Euclidian Algorithm to find 1/21 modulo 59 with a table

Q: Q1. Find the multiplicative inverse of 29 modulo 1137. Write down all steps of your computa- tion.…

A: For any two arbitrary integers a and n, if the existence of another integer b is established so that…

Q: Consider the Baby-Step, Giant Step Algorithm to solve 2* = 11 mod 13. The least common element…

A: The given algorithm is, 2x≡11 mod 13  r=3 and k=5  Let a=2 and b=11

Q: Use Euclid's Algorithm to find (a, b) and xo, yo such that (a, b) = axo+byo if (a) a = 3182, b =…

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Q: Find the inverse ā of 5 modulo 187 using (extended) Euclidean Algorithm with 1 <a< 186.

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Q: Use 672 = -1 mod 449 and Hermites' algorithm to find a pair of positive integers s and t such that…

A: Given :          s2 +t2 = 449672 = -1 mod449

Q: Suppose an algorithm requires 2n steps to complete a task for an input of size n. If the size of the…

A: If an algorithm requires 2n steps to complete a task for an input of size n, then the time…

Q: Find the least residue of  -5 -46 modulo 14.

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Q: Using Extended Euclidean Algorithm, show that we can write 17 as a linear combination of 119 and 68

A: Extended Euclidean Algorithm- It is a method to find GCD of two integers To write:17 as a linear…

Q: Find the least positive integer n that satisfies the congruence 7 ^128 congruent to n (mod13)

A: Given, 7128≡nmod 13 Find the value of n that satisfies the above congruence.

Q: RSA algorithm encryption let n= 391 =23x17 like the public key of a RSA and c= 5 like encryption…

A: As per the question we are given a RSA Encryption system as : Public key : n = 391 = 23 × 17…

Q: Use the opposite-change algorithm to compute 189+342

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Q: Q9. Consider the following algorithm: sum = 0 For j starting at 1 and ending with 15: sum = sum +…

A: In the given problem algorithm is given. We have to find the output of the algorithm. Algorithm…

Q: Q1/ Do the encryption and decryption process using the RSA algorithm and operators next : M=9, e-3,…

A: Here, we are given the information about the RSA algorithm parameters.       Message : M = 9.…

Q: Which of the following gives the Binet form of the nth Fibonacci number? O Fn = Fn = Fn = Fn =…

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Q: Leta=75andb=27. (a) Use the Euclidean Algorithm (or the modified Euclidean Algorithm) to find gcd(a,…

A: Dear Bartleby student,according to our guidelines we can answer only three subparts, or first…

Q: Find the smallest non negative value of D such that ED is congruent to 1 (mod b) when b=616…

A: As given in the hint the idea is to use the extended Euclidean algorthim to solve the congruence.…

Q: Q9A. Consider the following algorithm: sum= = 0 for j in range(1,12): sum = sum + (9*j - 2)…

A: In the given problem a algorithm is given. We have to find out the output of the given algorithm.…

Q: we have 1529 MOD 83 = 2 Find the inverse to 2 by using the Euclid's algorithm

A: The given expression is 1529 mod 83=2. We have to find the inverse of 2 by using Euclid's algorithm.

Q: b) Show that if y(t) is a solution of the problem y" +e*y + y = 0, y(0) = 1, y'(0) = 2, %3D then…

A: Given y''+e-ty'+y=0, y0=0, y'0=2

Q: Use the Euclidean Algorithm to determine if 7^-1(mod 20) exists.

A: To determine if 7-1mod 20 exists, using Euclidean Algorithm.

Q: State "Division Algorithm “,then use it to prove that each odd integer number can be written as: 6k…

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Q: Find ged(1326, 819) using the Euclidean algorithm.

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Q: In trying use the Sieve of Eratosthenes find all prime numbers less than 300, when do we stop the…

A: Sieve of Eratosthenes is a simple, ancient algorithm for finding all prime numbers up to any given…

Q: gcd (40489, 76397) by euclid's algorithm

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Q: What is the largest n for which one can solve within 3 minutes a problem using an algorithm that…

A: According to the given information 10−12fn≤3 minute Since, 3 minute=3×60 minute=180 second Hence,…

Q: Explain how Euclidean Algorithm is used to check if an integer is a prime number or otherwise.

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Q: Let n be a positive integer. Give a recursive algorithm for computing the sum of the first n…

A: To find - Let n be a positive integer. Give a recursive algorithm for computing the sum of the first…

Q: 3 . Use the baby-step giant-step algorithm to find h, k such that 2^h ≡ 7 (mod 53), 2^k ≡ 9 (mod…

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Q: Use Eucledian algorithm to find the greatest common divisor d of a = b = 845 and integers u, v such…

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Q: Least residue of 63^9 mod 10

A: Rational Numbers: All the numbers which can be written in the form of pq. Here, p and q are integers…

Q: What is order of 5^15 congruent to 6547(mod20143)?

A: We want to find the order of 515 modulo 20143 given that 515≡6547 (mod 20143).