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[DOC File]CIS 3362 Homework #2 - UCF Computer Science
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5) Use the Euclidean Algorithm to determine the greatest common divisor of 3077 and 2295. Please show all of your steps. Solution: Using the Euclidean Algorithm: gcd(a, b)=gcd(b, a mod b) 3077 = 1x2295 + 782. 2295 = 2x782 + 731. 782 = 1x731 + 51. 731 = 14x51 + 17. 51= 3x17, so the desired gcd is 17.
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[DOC File]CIS 3362 Homework #2
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5) Use the Euclidean Algorithm to determine the greatest common divisor of 3077 and 2295. Please show all of your steps. 6) Use the Extended Euclidean Algorithm to find an integer solution for x and y to the equation 106x + 377y = 1.
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[DOC File]Lesson 1 : Introduction to Congruence and Modular Arithmetic
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However, if n is large, the Euclidean Algorithm will again be more efficient in finding the multiplicative inverse of an element. Hence, if we obtain gcd(a, n) = 1 from the Euclidean Algorithm, we can use the steps involved to find the multiplicative inverse of a in . Algorithm 2: “Extended” Euclidean Algorithm
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[DOCX File]Chapter 1
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Compare the Euclidean Distance of first minimum with input vector to Th of the first minimum. ... ED Calculator. ... Steps for Algorithm 4: Assume there are n nodes in the memory layer, input a key vector x. for i = 1, 2, 3…..n nodes, do.
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[DOC File]Chris Farley - Missouri State University
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Note that this can be found using the Euclidean Algorithm. Compute the private key, d, which is the multiplicative inverse of i.e., find an integer d with In general, solve for d in the equation The existence of d follows from the fact that if given two integers, a and b, where the then b is invertible (mod a) and b has a multiplicative inverse in.
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[DOCX File]INTRODUCTION - Computer Action Team
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and many other similar associative memory architectures. Thus Euclidean Distance Calculator was identified for this methodology development work. Also, the reason the example of the Euclidean Distance calculator was used for this research is that it is widely applied by many Neural Network and similar algorithms in software.
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[DOC File]Discrete Mathematics - MGNet
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Then the number of divisions used by the Euclidean algorithm to find gcd(a,b) ( 5•decimal digits in b. We can recursively define sets, too, not just functions. There is a basis step and a recursion step with the possibility of an exclusion step.
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[DOC File]UH
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Note that we use the Euclidean Algorithm as a way to get the CF for an improper fraction! There is a second way to get CFs. Both ways are similar. You really do need a fully reduced fraction to do this work – (numerator, denominator) = 1. Another example: Simple finite continued fraction! Another one: Four fraction bars!
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[DOC File]Multiplicative Cipher - Apps for the TI89 Calculator
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Their original values are those of a and M and change according to the procedure that determines the gcd of A and B. This procedure is the famous Euclidean Algorithm that I will explain to you in the next chapter. For now, you have to believe that it calculates the answer correctly, just as you have to believe that your calculator computes ...
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[DOC File]Teaching Cryptography in High School - TI89
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However, when using a calculator, they must be able to verify the correctness of the given inverse. Clearly, if this course was taught to undergraduate or graduate students majoring in Computer Science or Mathematics, performing the Euclidean Algorithm forward and backward shall be enforced.
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Euclidean algorithm calculator with steps