What does 1 mod 4 mean?

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The term “1 mod 4” refers to the mathematical operation of modulus, which finds the remainder of a division of one number by another. Specifically, in this case, we are dividing 1 by 4.

To break it down:

  1. Division: When you divide 1 by 4, the result is 0 because 4 cannot go into 1 any whole number of times.
  2. Remainder: After dividing, there is still 1 that remains, because 4 is larger than 1.

So, in mathematical terms, you would write:

1 รท 4 = 0 remainder 1

This means that:

1 mod 4 = 1

In summary, the value of “1 mod 4” is simply 1. This operation is not only useful in mathematics but also has applications in computer science, cryptography, and various areas where modular arithmetic is utilized.

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