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### CS124_InversePractice

Course: CS 124, Fall 2009
School: GWU
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124 CSCI and CSCI 224 - Discrete Structures II Modular Inverse Practice Problems and Solutions Find the modular inverse of the following numbers using the euclidean algorithm. You may use a calculator to compute remainders. 1. 121 mod 25 Answer: a 25 12 1 b 12 1 0 q 2 12 s 1 0 t -2 1 25(1) (12)(2) = 1 121 M OD 25 = 2M OD25 = 23M OD25 2. 171 mod 20 Answer: a 20 17 3 2 1 b 17 3 2 1 0 q 1 5 1 2 s 6 1 -1 0 t -7 6...

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124 CSCI and CSCI 224 - Discrete Structures II Modular Inverse Practice Problems and Solutions Find the modular inverse of the following numbers using the euclidean algorithm. You may use a calculator to compute remainders. 1. 121 mod 25 Answer: a 25 12 1 b 12 1 0 q 2 12 s 1 0 t -2 1 25(1) (12)(2) = 1 121 M OD 25 = 2M OD25 = 23M OD25 2. 171 mod 20 Answer: a 20 17 3 2 1 b 17 3 2 1 0 q 1 5 1 2 s 6 1 -1 0 t -7 6 -1 1 20(6) + 17(7) = 1 7 = 171 M OD 20 = 13. 3. 91 mod 25 Answer: a 25 9 7 2 1 b 9 7 2 1 0 q 2 1 3 2 s 4 -3 1 0 t -11 4 -3 1 25(4) + 9(11) = 1 11 = 91 M OD 25 = 14. 4. 151 mod 32 Answer: a 32 15 2 1 b 15 2 1 0 q 2 7 2 s -7...

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