Chapter 4: Q55E (page 286)
Find the discrete logarithms of 5 and 6 to the base 2 modulo 19.
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The odometer on a car goes to up miles. The present owner of a car bought it when the odometer read miles. He now wants to sell it; when you examine the car for possible purchase, you notice that the odometer reads miles. What can you conclude about how many miles he drove the car, assuming that the odometer always worked correctly?
Show that the binary expansion of a positive integer can be obtained from its hexadecimal expansion by translating each hexadecimal digit into a block of four binary digits.
Find and and verify that . [Hint: First, find the prime factorizations of 92928 and 123552.]
Use the extended Euclidean algorithm to express gcd(144,89) as a linear combination of 144 and 89.
How many divisions are required to find gcd(21,34) using the Euclidean algorithm?
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