7.5.3.1 - Naive Approach for Modular Exponentiation
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Practice Questions
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What does modular exponentiation represent?
💡 Hint: Think about the operation with base, power, and modulus.
Describe the naive approach briefly.
💡 Hint: What is the outcome after all multiplicative steps?
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the result of 2^3 % 3?
💡 Hint: Calculate the power first, then take the modulus.
The naive approach for modular exponentiation is efficient.
💡 Hint: Consider the multiplication steps involved.
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Challenge Problems
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Compute 5^200 % 7 using both the naive method and the square and multiply method. Analyze the time taken for both methods.
💡 Hint: What is the binary representation of `200`?
How many multiplications would you perform in the naive method for a^b % N where a = 12, b = 50, N = 13? Compare that with the tally from the square and multiply method.
💡 Hint: Convert `50` to binary to see the trend!
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