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PreTeXt Sample Book: Abstract Algebra (SAMPLE ONLY)

Exercises 2.6 Programming Exercises

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Write a computer program that will write any decimal number as the sum of distinct powers of 2. What is the largest integer that your program will handle?


Write a computer program to calculate \(a^x \pmod{ n}\) by the method of repeated squares. What are the largest values of \(n\) and \(x\) that your program will accept?