What exactly is the Modulus Operator A Concise Guide with Real World Examples |
Posted: May 7, 2022 |
The Addition, subtraction, multiplication, and division are all examples of operations. These are the 4 mathematical operations I was taught as a youngster, and their operators, +, -, *, /, are quite recognizable to me. I was never taught percent, the modulus operator, which I subsequently realized may be pretty helpful and intriguing in and of itself. The modulus operator, denoted as percent or mod in most programming languages, executes the modulo operation. Understandably, your next reaction may be, "That doesn't explain anything," so let's take a deeper look: How Does It Work? The modulus operator, often known as the modulo operation, is a method for determining the remainder of a division operation. Instead of the division result, the modulo operation returns the whole integer remainder. Some examples may assist to demonstrate this since it is not always obvious the first time you meet it: 5% of 1 equals 0 / 5 multiplied by 1 equals 5, with a residual of 0. 5%/2 Equals 1 / 5 divided by 2 equals 2, with a 1 residual 5 percent 3 equals 2 / 5 divided by 3 equals 1, leaving a leftover of 2. 5% x (4) Equals 1 / 5 divided by 4 equals 1, with a 1 remainder 5% of 5 equals 0 / 5 divided by 5 equals one, with a remainder of zero. It could be useful to recall your early arithmetic classes before you learned about fractions and decimals. Mathematics with whole numbers acts differently - there is always some amount left over when dividing numbers that aren't even multiples. The modulo operation returns the remainder. Expressed as a Formula, the Modulo Operation Finally, for those who are more technically oriented, here is a formula that explains the modulo operation: (n * floor(a/n)) a We may observe how the modulo operation works in reality by replacing values: 100 percent 7 equals 2 / where a = 100 and n = 7. 2 = 100 - (7 * floor(100/7)) Don’t worry if you don't find the formula useful at first; I didn't either. Some individuals believe that knowing this abstract representation deepens or clarifies their comprehension of the operation, although you don't have to. Finally, if you're wondering how the modulo operation works with negative or decimal integers, that's a little outside the scope of this essay. We'll only be working with positive numbers for our needs here. Okay, that's enough arithmetic for now. While the modulo operation returns the remainder, that isn't its sole application; in fact, we'll find that it's useful for a lot more - but it was a required starting point. You can easily use Modulo Calculator from here. Please check it over here.
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