Practice Summary And References (7.6) - Lecture

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9 questions

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3 cards from this section. Quick, good the night before a test.
Exercise
6 questions · about 4 min · pass mark 70%. Hints available.
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Quiz
3 questions · about 2 min · pass mark 70%. Hints available.
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6 sample questions

Question 1.
What is 9 modulo 4?
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Think of how many times 4 fits into 9.
Question 2.
Is 8 congruent to 2 modulo 3?
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Calculate the remainder of both numbers when divided by 3.
3Question 3.
What is the result of 14 modulo 5?
- 2
- 3
- 4
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Think about how many times 5 fits into 14.
4Question 4.
True or False: Division is always well-defined in modular arithmetic.
- True
- False
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Consider cases where the divisor is congruent to zero.
Question 5.
Using the square and multiply method, calculate 2^13 modulo 19 and explain each step.
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Make sure to convert the exponent to binary and track your calculations carefully.
Question 6.
Why is it important for cryptographic algorithms to use modular exponentiation? Discuss with examples.
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Think about key generation and secure message transmission in cryptography.

5 more questions in this section. Enroll free to practise them all.