7.6 - Summary and References
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Practice Questions
Test your understanding with targeted questions
What is 9 modulo 4?
💡 Hint: Think of how many times 4 fits into 9.
Is 8 congruent to 2 modulo 3?
💡 Hint: Calculate the remainder of both numbers when divided by 3.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the result of 14 modulo 5?
💡 Hint: Think about how many times 5 fits into 14.
True or False: Division is always well-defined in modular arithmetic.
💡 Hint: Consider cases where the divisor is congruent to zero.
1 more question available
Challenge Problems
Push your limits with advanced challenges
Using the square and multiply method, calculate 2^13 modulo 19 and explain each step.
💡 Hint: Make sure to convert the exponent to binary and track your calculations carefully.
Why is it important for cryptographic algorithms to use modular exponentiation? Discuss with examples.
💡 Hint: Think about key generation and secure message transmission in cryptography.
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Reference links
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