# Explanation of the Leap Year Formula

You are going to acquire an in-depth understanding of the leap year formula after reading this article. That is, through this article, you will get a complete command of the origin of the mathematical formula that is used to establish whether or not a given year is a leap year. Let's pay attention to the detailed explanation of what happens during leap years.

## Definition of Leap Year

A leap implies a quick transition to something new. And the leap year means a new year in which there will be an extra day. So the leap year is of 366 days instead of the normal year, which is of 365 days.

## Leap Year Logic

As the tropical year is 365.24219 days. Therefore, in every fourth year, one extra day gets added, and that year is called a leap year. Because 0.24219*4 gives you 0.96876, which is approximately equal to 1. So an extra day gets added to every fourth year, which is called a "leap year," which has 366 days.

That extra day gets added to the end of the month of February. So in a leap year, February has 29 days instead of 28.

## Condition of the Leap Year

The tropical year has 0.24219 days extra, with 365. If it will be 0.25 instead of 0.24219, then, no doubt, every fourth year will be a leap year. However, this is not true every fourth year. Rather, leap years are every year, which are:

• divisible by 4 and not by 100
• divisible by 400

So the year 2000 is a leap year, whereas the years 1700, 1800, and 1900 are not. Like this, the years 2100, 2200, and 2300 are not leap years, whereas the year 2400 is a leap year.

In the Gregorian calendar, out of every 400 years, there are 97 leap years. Because if you multiply the days of every tropical year with 400 like this:

`(400*365.24219) = 146097`

The exact value is 146096.876. So here the approximate value will be 146097. And if you find the remainder after dividing the value (146097) by 365 (the normal year), you will get the value of 97.

That wraps up everything, and I really hope you grasp the reasoning behind the leap year.This is the reason and mechanism behind why the month of February becomes 29 days long and the year becomes 366 days long once every four years, except for the exception, which is mentioned above in the article.

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#### Programs to Check the Leap Year

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