q8-integersdivisions

q8-integersdivisions - 30? Answer: (1 , 7 , 11 , 13 , 17 ,...

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CSE 260 QUIZ-8– The Integers and Division – ANSWERS (20 minutes) NAME: 1. (10 points) Evaluate the following quantities. (a) 21 mod 11 Answer: 10 21=11x1+10 (b) -60 mod 7 Answer: 3 -60= 7x-9+3 2. (10 points) Answer the following true/false (a) 23 7(mod 8) (23 - 7) | 8: TRUE (b) (x b(mod m) and (y b(mod m)) (x=y) FALSE Assume m=3, b=4, x=10 and y=16. Therefore, x b(mod m) and y b(mod m), but x 6 = y 3. (10 points) Which positive integers less than 30 are relatively prime to
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Unformatted text preview: 30? Answer: (1 , 7 , 11 , 13 , 17 , 19 , 23 , 29) Two integers are relatively prime if the only common divisor between them is 1. Prime factors for 30 are: 2,3,5. Therefore, they cannot be the relative primes. Other primes less than 30: 7,11, 13,17,19,23,29. Any other integers less than 30 will be a product of two or more of these primes. 1...
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