Practice Naive Approach For Modular Exponentiation (7.5.3.1) - Lecture

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6 sample questions

Question 1.
What does modular exponentiation represent?
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Think about the operation with base, power, and modulus.
Question 2.
Describe the naive approach briefly.
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What is the outcome after all multiplicative steps?
3Question 3.
What is the result of 2^3 % 3?
- 0
- 1
- 2
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Calculate the power first, then take the modulus.
4Question 4.
The naive approach for modular exponentiation is efficient.
- True
- False
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Consider the multiplication steps involved.
Question 5.
Compute 5^200 % 7 using both the naive method and the square and multiply method. Analyze the time taken for both methods.
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What is the binary representation of `200`?
Question 6.
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.
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Convert `50` to binary to see the trend!

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