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The following Windows C++ code is an example of a Category 1 leap year bug. It will work properly until the current date becomes February 29 of a leap year. Then, it will modify st to represent February 29 of a common year, a date which does not actually exist. Passing st to any function that accepts a SYSTEMTIME struct as a parameter will ...
On 5 January 1975, the 12-bit field that had been used for dates in the TOPS-10 operating system for DEC PDP-10 computers overflowed, in a bug known as "DATE75". The field value was calculated by taking the number of years since 1964, multiplying by 12, adding the number of months since January, multiplying by 31, and adding the number of days since the start of the month; putting 2 12 − 1 ...
The fraction 13/5 = 2.6 and the floor function have that effect; the denominator of 5 sets a period of 5 months. The overall function, mod 7 {\displaystyle \operatorname {mod} \,7} , normalizes the result to reside in the range of 0 to 6, which yields the index of the correct day of the week for the date being analyzed.
For January, January 3 is a doomsday during common years and January 4 a doomsday during leap years, which can be remembered as "the 3rd during 3 years in 4, and the 4th in the 4th year". For March, one can remember either Pi Day or " March 0 ", the latter referring to the day before March 1, i.e. the last day of February.
Leap years have two letters, so for January and February calculate the day of the week for January 1 and for March to December calculate the day of the week for October 1. Leap years are all years that divide exactly by four, with the following exceptions: Gregorian calendar – all years divisible by 100, except those that divide exactly by 400.
A year may be a leap year if it is evenly divisible by 4. Years divisible by 100 (century years such as 1900 or 2000) cannot be leap years unless they are also divisible by 400. (For this reason ...
That resulted in the years 1700, 1800, and 1900 losing their leap day, but 2000 adding one. Every other fourth year in all of these centuries would get it's Feb. 29. And with that the calendrical ...
Here's the confusing part: According to the NIST, century leap years are only leap years if they can be evenly divided by 400. So, for example, 1700, 1800 and 1900 weren't leap years. And 2100?