Practice Complexity Measurement - 7.5.2 | 7. Lecture - 55: Modular Arithmetic | Discrete Mathematics - Vol 3
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Practice Questions

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Question 1

Easy

What is 7 mod 3?

💡 Hint: Divide 7 by 3 and find the remainder.

Question 2

Easy

Is -4 mod 5 equal to 1?

💡 Hint: Calculate the remainder when adjusting, it should still be in the range.

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 5 mod 2?

  • 1
  • 2
  • 3

💡 Hint: Think about the remainder when performing division.

Question 2

Congruence means two numbers have the same what when divided by a modulus?

💡 Hint: Recall the definition of congruence.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Demonstrate the inefficiency of the naive modular exponentiation approach compared to the square and multiply method, with specific examples.

💡 Hint: Calculate the intermediate powers and how they accumulate.

Question 2

Analyze a scenario where determining congruences can simplify a large addition and provide the calculation.

💡 Hint: Use smaller numbers by reducing before performing addition.

Challenge and get performance evaluation