7.5 - Algorithms for Modular Arithmetic
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Practice Questions
Test your understanding with targeted questions
What is 7 modulo 5?
💡 Hint: Think about how many times 5 fits into 7.
What is the result of -10 modulo 4?
💡 Hint: Visualize moving clockwise on a clock face analogy.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is 9 modulo 4?
💡 Hint: Consider how many times 4 goes into 9.
True or False: Modular division is equivalent to normal division.
💡 Hint: Remember that dividing can lead to fractions in modular arithmetic.
2 more questions available
Challenge Problems
Push your limits with advanced challenges
Prove that if a ≡ b mod N then a - b is divisible by N. Provide a detailed explanation.
💡 Hint: Consider the definitions of modulus and how remainders work.
Using the square-and-multiply method, compute 3^23 mod 11 step by step.
💡 Hint: Break down into binary steps and gather non-zero contributions.
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