Bunlardan birini cozebilen varmi?1. The numbers 7 and 23 are relatively prime and therefore there must exist integers a and b such that 7a+23b=1. Find such a pair of integers with the smallest possible a>0. Given this pair, can you determine the inverse of 7 in Z23? Enter below comma separated values for a, b, and for 71 in Z23.2. Solve the equation 3x+2=7 in Z19. 3. Solve the equation x2+4x+1=0 in Z23. Use the method described in lecture 9.3 using the quadratic formula. 4. What is the 11th root of 2 in Z19? (i. e. what is 21/11 in Z19) Hint: observe that 111=5 in Z18. 5. What is the discete log of 5 base 2 in Z13? (i. e. what is Dlog2(5)) Recall that the powers of 2 in Z13 are <2>=

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