Translate the following into GPLI: (iv) If Bob and Alice are in Paris, then someone is.

Alice and Bob want to use Diffie-Hellman Key Establishment to share a key and they have agreed to use the prime number p=97 as their modulus. They have to choose their g from the following list of numbers, none which are unfortunately primitive roots: 6, 9, 18Sort these numbers in the order of suitability, putting the most suitable on the left. Select one: a. 18, 6, 9 b. 9, 18, 6 c. 18, 9, 6 d. 6, 18, 9 e. 9, 6, 18

B- Fill out the following tables for JK FF. Consider that Q(t) and Q(t+1) are the current state and next state respectively. J 0 0 1 1 1 KQ(t+1) 0 1 0 1

(5) Explain why these are true or false: (a) 31 = 15 (mod 5) (b) 200 = 200 (mod 7) (c) 3785 = 1970 (mod 11)

Use postulates and theorem to reduce the following Boolean expression to one literal, provide justifications: