Practice Algorithms For Modular Arithmetic (7.5) - Lecture

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10 questions

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6 sample questions

Question 1.
What is 7 modulo 5?
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Think about how many times 5 fits into 7.
Question 2.
What is the result of -10 modulo 4?
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Visualize moving clockwise on a clock face analogy.
3Question 3.
What is 9 modulo 4?
- 1
- 2
- 3
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Consider how many times 4 goes into 9.
4Question 4.
True or False: Modular division is equivalent to normal division.
- True
- False
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Remember that dividing can lead to fractions in modular arithmetic.
Question 5.
Prove that if a ≡ b mod N then a - b is divisible by N. Provide a detailed explanation.
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Consider the definitions of modulus and how remainders work.
Question 6.
Using the square-and-multiply method, compute 3^23 mod 11 step by step.
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Break down into binary steps and gather non-zero contributions.

6 more questions in this section. Enroll free to practise them all.