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.

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