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Which of the following statements is true regarding modular arithmetic?

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Question: Which of the following statements is true regarding modular arithmetic?

Options:

  1. It is only applicable to integers.
  2. It can be used for real numbers.
  3. It is not useful in computer science.
  4. It is only used in cryptography.

Correct Answer: It is only applicable to integers.

Solution:

Modular arithmetic is primarily applicable to integers, making the first statement true.

Which of the following statements is true regarding modular arithmetic?

Practice Questions

Q1
Which of the following statements is true regarding modular arithmetic?
  1. It is only applicable to integers.
  2. It can be used for real numbers.
  3. It is not useful in computer science.
  4. It is only used in cryptography.

Questions & Step-by-Step Solutions

Which of the following statements is true regarding modular arithmetic?
  • Step 1: Understand what modular arithmetic is. It is a system of arithmetic for integers, where numbers wrap around after reaching a certain value called the modulus.
  • Step 2: Identify the key feature of modular arithmetic, which is that it deals with whole numbers (integers) and their remainders when divided by the modulus.
  • Step 3: Review the statements provided in the question to see if they relate to integers or other types of numbers.
  • Step 4: Determine if the first statement mentions integers or not. If it does, it is likely true.
  • Step 5: Conclude that since modular arithmetic is primarily applicable to integers, the first statement is true.
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