How to calculate modulus in programming

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  • How is modulus calculated
  • Power mod calculator...

    How to calculate modulus without calculator

  • How to calculate modulus without calculator
  • 1 mod 10
  • Power mod calculator
  • 1 mod 2
  • 2 mod 5
  • Modulo Operation

    The modulo (or "modulus" or "mod") is the remainder after dividing one number by another.

    Example: 100 mod 9 equals 1

    Because 1009 = 11 with a remainder of 1

    12 Hour Time

    12-hour time uses modulo 12

    Example: 14 mod 12 equals 2

    Because 1412 = 1 with a remainder of 2

    So 14 o'clock becomes 2 o'clock.

    We are only interested in where we end up, not how many times around.

    Play with it here:

    images/mod-anim.js

    Notation

    We normally write "mod": 14 mod 12 = 2

    Some programming languages use the percent sign: 14 % 12 = 2, but % is just a convenient symbol and has nothing to do with percents.

    Modulus and Addition

    You can also play with adding numbers using different modulo values here:

    images/mod-circle-add.js


    Modulus with Multiplication

    You can also have a play with this.

    It multiplies each number by your chosen value, then links to the modulus of that multiplication. It makes some really interesting patterns:

    images/mod-circle-mult.js

     

    25355, 25356, 25357, 25358, 25359, 25360, 25361, 25362, 25363, 25364

    Digital R

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