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Eğitim & Ödev & Bilimsel Döküman
Bi Kac Diskret Matematik Sorusu Cozebilecek ?
Eğitim & Ödev & Bilimsel Döküman
Bi Kac Diskret Matematik Sorusu Cozebilecek ?
Bi Kac Diskret Matematik Sorusu Cozebilecek ?
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Bunlardan birini cozebilen varmi ?
1.The numbers 7 and 23 are relatively prime and therefore there must exist integersa and b such that 7a+23b=1. Find such a pair of integers (a,b)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 7−1 in Z23.
2.Solve the equation3x+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 11−1=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>={1,2,4,8,3,6,12,11,9,5,10,7} -
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