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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What does modular exponentiation represent?
💡 Hint: Think about the operation with base, power, and modulus.
Question 2
Easy
Describe the naive approach briefly.
💡 Hint: What is the outcome after all multiplicative steps?
Practice 4 more questions and get performance evaluation
Interactive Quizzes
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
Question 1
What is the result of 2^3 % 3?
- 0
- 1
- 2
💡 Hint: Calculate the power first, then take the modulus.
Question 2
The naive approach for modular exponentiation is efficient.
- True
- False
💡 Hint: Consider the multiplication steps involved.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
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`?
Question 2
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!
Challenge and get performance evaluation