# Modulo

Modulo calculator is used to performing the modulo operation to any number that has been calculated by this tool. It gives two numbers that are a (the dividend) and n (the divisor).

#### Example :

The standard format for mod is:
a mod n
Where a is the value that is divided by n.

For example, you’re calculating 15 mod 4. When you divide 15 by 4, there’s a remainder. 15 / 4 = 3.75

Instead of its decimal form (0.75), when you use the mod function in a calculator, the remainder is a whole number. For this example, 15 / 4 = remainder 3, which is also 15 = (4 * 3) + 3. Here’s how to calculate it manually:

$$15\ mod\ 4$$ $$15-4=11$$ $$11-4=7$$ $$7-4=3$$

# What is a modulo calculator?

Modulo calculator is used to performing the modulo operation to any number that has been calculated by this tool. It gives two numbers that are a (the dividend) and n (the divisor).

In mathematics, modular arithmetic is a system of arithmetic for integers, where numbers "wrap around" when reaching a particular value, called the modulus.

A familiar use of modular arithmetic is within the 12-hour clock, during this period the day is split into two 12-hour periods. If the time is 7:00 now, then 8 hours later it'll be 3:00. Simple addition would end in 7 + 8 = 15, but clocks "wrap around" every 12 hours. Because the hour number starts over after it reaches 12, this is often arithmetic modulo 12. In terms of the definition below, 15 is congruent to three modulo 12, so "15:00" on a 24-hour clock is displayed "3:00" on a 12-hour clock.

Modular operations

Modulo operations within the case of the clock are so intuitive we do not even notice them. In mathematics, there are many sorts of more elaborate modulo operations that need more thought. We will write down that:

X mod y = r

Is true if such an integer q (called quotient) exists, then:

Y * q + r = x.

Otherwise, the amount r is that the remainder of the division, where x is that the dividend and y is that the divisor.

If the modulo definition doesn't appeal to you and you are still unsure of the way to calculate modulo, have a glance at the subsequent paragraph, and everything should become crystal clear.

## How you can calculate modulo with example

It's not a difficult task to calculate the modulo by hand. Just follow the steps below!

• Start by choosing the initial number (before performing the modulo operation). For instance, it's 250. This is often our dividend.
• Choose the divisor. Let's pick 24. The operation we would like to calculate is then 250 mod 24 (250 for twenty-four if using a different convention).
• Divide one number by the opposite, rounding down: 250 / 24 = 10. This is often the quotient. Also, you'll consider that operation as an integer division - the sort of division, where we do not care about the fractional part of the result.
• Multiply the divisor by the quotient. So it's 10 * 24 = 240 in our example.
• Subtract this number from your initial number (dividend). Here: 250 - 240 = 10.
• The number you obtain is that the results of the modulo operation. We will write it down as 250 mod 24 = 10.

### Percent - a logo of a modulo operation

The modulo operation is usually utilized in programming languages. For this, % - percent - is employed to denote this operation (or sometimes the rest operator, for negative numbers). If you're interested in the origins of the half of the sign, we strongly encourage you to read the short paragraph we put together about the history of the percentage sign.

You do get to take care, as there's some ambiguity with the modulo definition when negative values are taken under consideration. There are two alternatives for the rest - one negative and therefore the reform the other positive - and the result depends on the implementation within the chosen programming language.

### How you can use our tool

Using our tool is really simple and it’s really great to use our tool. Mostly we have created all mathematical calculator tools for students and teachers and scientists to solve their problems as soon as possible.

Now as you can see on your desktop screen, you have we have to empty a box where you can enter value but you can add all the value in the same box by clicking space between each value so don’t be confused while typing any value.

After you will put all the values in the same box you have to click on the calculate button to get the answer or result.

And this is how this tool works.

A.