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1 mod 2 – Remainder of 1 Divided by 2

1 mod 2, 1 modulo 2 as well as 1 modulus 2 all mean the same: 🙂

The remainder of the (Euclidean) division of 1 by 2.

1 mod 2 = 1

What is 1 modulo 2?

  • 1 is the dividend
  • 2 is the divisor (modulo)
  • 1 is the remainder

So, the answer is:

1 modulo 2 = 1


Next, we show you the math.

How is 1 mod 2 Calculated?

Any decimal number is made up of a whole part, followed by a decimal point, followed by its decimal digits.

Conduct the three steps below:

  1. Take the whole part of 1 / 2 called quotient: 0
  2. Multiply the quotient by the divisor: 0 × 2 = 0
  3. Subtract the result from step 2 from the dividend: 1 – 0 = 1

Proof: 1 = (0 × 2) + 1.

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– Article written by Mark, last updated on January 11th, 2024