7.5.3 - Modular Exponentiation
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Practice Questions
Test your understanding with targeted questions
What is 7 mod 3?
💡 Hint: Think about how many times 3 fits into 7.
Is 10 ≡ 4 mod 6 true or false?
💡 Hint: Calculate both `10 mod 6` and `4 mod 6`.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the result of 9 mod 4?
💡 Hint: Consider how many times 4 fits into 9.
Is the operation a / b well-defined in modular arithmetic?
💡 Hint: Recall our discussion on modular operations!
2 more questions available
Challenge Problems
Push your limits with advanced challenges
Given a = 3, b = 20, and N = 5, compute 3^20 mod 5 using the square and multiply method.
💡 Hint: Break down your steps and check accumulated powers.
Design an algorithm to compute mod 2^n efficiently given an n-bit integer.
💡 Hint: Focus on which bits are `1` in your binary number.
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