Practice Introduction to Number Theory - 7.3 | 7. Lecture - 55: Modular Arithmetic | Discrete Mathematics - Vol 3
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Introduction to Number Theory

7.3 - Introduction to Number Theory

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is 10 modulo 3?

💡 Hint: Divide 10 by 3 and find the remainder.

Question 2 Easy

Are 14 and 10 congruent modulo 4?

💡 Hint: Calculate the remainder for both when divided by 4.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is 9 modulo 4?

1
2
3
0

💡 Hint: Think about how many times 4 goes into 9.

Question 2

True or False: Division in modular arithmetic is straightforward.

True
False

💡 Hint: Recall the difficulties surrounding modular inverses.

2 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Calculate (29 + 13) mod 10 and explain each step involved.

💡 Hint: Think of it as simplifying operations with the modulus before finding the result.

Challenge 2 Hard

Using the square and multiply method, compute 3^20 mod 5. Show your workings.

💡 Hint: Focus on the binary representation of 20 to simplify multiplications.

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