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In modular arithmetic, which of the following is a valid operation?

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Question: In modular arithmetic, which of the following is a valid operation?

Options:

  1. Adding two numbers and taking mod
  2. Subtracting two numbers and taking mod
  3. Multiplying two numbers and taking mod
  4. All of the above

Correct Answer: All of the above

Solution:

All operations (addition, subtraction, multiplication) are valid in modular arithmetic.

In modular arithmetic, which of the following is a valid operation?

Practice Questions

Q1
In modular arithmetic, which of the following is a valid operation?
  1. Adding two numbers and taking mod
  2. Subtracting two numbers and taking mod
  3. Multiplying two numbers and taking mod
  4. All of the above

Questions & Step-by-Step Solutions

In modular arithmetic, which of the following is a valid operation?
  • Step 1: Understand what modular arithmetic is. It involves numbers wrapping around after reaching a certain value called the modulus.
  • Step 2: Identify the basic operations in arithmetic: addition, subtraction, and multiplication.
  • Step 3: Realize that in modular arithmetic, you can perform addition, subtraction, and multiplication just like regular arithmetic.
  • Step 4: Remember that after performing any of these operations, you take the result and find the remainder when divided by the modulus.
  • Step 5: Conclude that all operations (addition, subtraction, multiplication) are valid in modular arithmetic.
  • Modular Arithmetic – A system of arithmetic for integers, where numbers wrap around after reaching a certain value (the modulus).
  • Operations in Modular Arithmetic – Addition, subtraction, and multiplication can all be performed in modular arithmetic, but division is not always valid.
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