Leap year calculations are based on 3 simple conditions. After reading this article you will know how to determine whether any given year is a leap year or not.
To be very general leap years come once every 4 years. So because 2008 was a leap year, the next one will be 2012, and the one after that will be 2016. But this is not always the case. There are exceptions to this condition.
An year will be a leap year if all the conditions below are satisfied.
Condition No.1
A year is a leap year only if it is exactly divisible by 4. This is the general principle that usually people are aware of, and it is correct in most cases. Any year which is not divisble by 4 is definitely not a leap year.
Example1: 2012 is a leap year because 2012 is evenly divisible by 4. (2012/4=503)
Example2: 2011 is not a leap year because it is not exactly divisible by 4 (2011/4=502.75 i.e.fraction)
However in exceptional cases, even if a year is divisible by 4 it may not be a leap year. refer condition no.2 below.
Condition No.2 (Exception to the above condition no.1)
A year is not a leap year if it is exactly divisible by 4, and it is also exactly divisible by 100.
For example: The year 1900 is not a leap year because it is divisible by 4 but it is also divisible by 100.
There is an exception to this condition no.2 also, and it is listed below.
Condition No.3 (Exception to the above condition no.2)
A year is a leap year if it is divisible by 4, divisible by 100 & also divisible by 400.
For example: The year 2000 is a leap year because it is exactly divisible by 4, and 100, and also 400.
Using these 3 conditions, we can calculate whether any given year is a leap year or not. Why not try by checking a few do-it-yourself samples..are these leap years 1600, 1700, 2020, 2018, 3000?
To be very general leap years come once every 4 years. So because 2008 was a leap year, the next one will be 2012, and the one after that will be 2016. But this is not always the case. There are exceptions to this condition.
An year will be a leap year if all the conditions below are satisfied.
Condition No.1
A year is a leap year only if it is exactly divisible by 4. This is the general principle that usually people are aware of, and it is correct in most cases. Any year which is not divisble by 4 is definitely not a leap year.
Example1: 2012 is a leap year because 2012 is evenly divisible by 4. (2012/4=503)
Example2: 2011 is not a leap year because it is not exactly divisible by 4 (2011/4=502.75 i.e.fraction)
However in exceptional cases, even if a year is divisible by 4 it may not be a leap year. refer condition no.2 below.
Condition No.2 (Exception to the above condition no.1)
A year is not a leap year if it is exactly divisible by 4, and it is also exactly divisible by 100.
For example: The year 1900 is not a leap year because it is divisible by 4 but it is also divisible by 100.
There is an exception to this condition no.2 also, and it is listed below.
Condition No.3 (Exception to the above condition no.2)
A year is a leap year if it is divisible by 4, divisible by 100 & also divisible by 400.
For example: The year 2000 is a leap year because it is exactly divisible by 4, and 100, and also 400.
Using these 3 conditions, we can calculate whether any given year is a leap year or not. Why not try by checking a few do-it-yourself samples..are these leap years 1600, 1700, 2020, 2018, 3000?
Thanks! this is a very precise and useful piece of information.
ReplyDeletevery nice explanation.Thanks
ReplyDeletenice explanation
ReplyDeleteVery precise
ReplyDeleteGood explanation.thanks
ReplyDeleteThats wrong.. 1504 is a leap year but it does not satisfy the third condition
ReplyDeleteBro , 3rd condition is only applicable after 2nd condition ... since 2nd condition is not applicable over here ... we can't apply 3rd condition.
DeleteBro , 3rd condition is only applicable after 2nd condition ... since 2nd condition is not applicable over here ... we can't apply 3rd condition.
Deleteif there is a century, then it must be divisible by 400. ( do not see by 4) for a leap year
ReplyDeleteGood
ReplyDelete