Practice Algorithms for Modular Arithmetic - 7.5 | 7. Lecture - 55: Modular Arithmetic | Discrete Mathematics - Vol 3
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is 7 modulo 5?

💡 Hint: Think about how many times 5 fits into 7.

Question 2

Easy

What is the result of -10 modulo 4?

💡 Hint: Visualize moving clockwise on a clock face analogy.

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 9 modulo 4?

  • 1
  • 2
  • 3

💡 Hint: Consider how many times 4 goes into 9.

Question 2

True or False: Modular division is equivalent to normal division.

  • True
  • False

💡 Hint: Remember that dividing can lead to fractions in modular arithmetic.

Solve 2 more questions and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

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.

Question 2

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.

Challenge and get performance evaluation