1. Compute the followings without calculator: a) 15. 29 mod 13 b) 2 29 mod 13...

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1. Compute the followings without calculator: a) 15. 29 mod 13 b) 2 29 mod 13 c) 11.3 mod 13. d) 5-¹ mod 13 e) 5-¹ mod 7 f) 7100 mod 13 2. Construct addition and multiplication table for Z6 3. There are elements in Z, without multiplicative inverse. Which elements are these? Why does a multiplicative inverse exist for all nonzero elements in Z5? 4. What is the output of first round of the DES algorithm when the plaintext and key are both all zeros? 5. What is the output of first round of the DES algorithm when the plaintext and key are both all zeros? 1. Compute the followings without calculator: a) 15. 29 mod 13 b) 2 29 mod 13 c) 11.3 mod 13. d) 5-¹ mod 13 e) 5-¹ mod 7 f) 7100 mod 13 2. Construct addition and multiplication table for Z6 3. There are elements in Z, without multiplicative inverse. Which elements are these? Why does a multiplicative inverse exist for all nonzero elements in Z5? 4. What is the output of first round of the DES algorithm when the plaintext and key are both all zeros? 5. What is the output of first round of the DES algorithm when the plaintext and key are both all zeros?

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1 a To find 1529 mod 13 we can use the following steps step1 Reduce ... View the full answer