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# Leap Year Formula Explained

In this article, you will get the complete understanding about leap year formula. That is, from where *the formula
to find whether a year is a leap year or not* came from. Let's concentrate on the step by step description of leap
year.

## Definition of Leap Year

Leap means moving quickly 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 normal year which is of 365 days.

## Leap Year Logic

As the tropical year is of **365.24219** days. Therefore, in every fourth year, one extra days gets added, and that
year is called as leap year. Because **0.24219*4** gives you **0.96876** which is approximately equals to 1.
So 1 extra days gets added to every fourth year, that is called as leap year, which is of 366 days.

That extra days gets added to the end of the month **february**. So in leap year, february is of 29 days instead of
28.

## Condition of 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. But here not the case of every fourth year. Rather,
leap year is 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 is not a leap year. Like this, the years 2100, 2200, 2300 is not a leap year, whereas the year 2400 is a leap year.

In 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 will find the
remainder after dividing the value (146097) by 365 (normal year), you will get the value as 97.

#### Programs Made on This

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