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The overall function, , 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. The reason that the formula differs between calendars is that the Julian calendar does not have a separate rule for leap centuries and is offset from the Gregorian calendar by a fixed ...
For determination of the day of the week (1 January 2000, Saturday) the day of the month: 1 ~ 31 (1) the month: (6) the year: (0) the century mod 4 for the Gregorian calendar and mod 7 for the Julian calendar (0). adding 1+6+0+0=7. Dividing by 7 leaves a remainder of 0, so the day of the week is Saturday. The formula is w = (d + m + y + c) mod 7.
GPS dates are expressed as a week number and a day-of-week number, with the week number transmitted as a ten-bit value. This means that every 1,024 weeks (about 19.6 years) after Sunday 6 January 1980, (the GPS epoch ), the date resets again to that date; this happened for the first time at 23:59:47 on 21 August 1999, [ 11 ] the second time at ...
For example, the Gregorian date Tuesday, 21 January 2025 corresponds to day number 2 in the week number 04 of 2025, and is written as 2025-W04-2 (in extended form) or 2025W042 (in compact form). The ISO year is slightly offset to the Gregorian year; for example, Monday 30 December 2019 in the Gregorian calendar is the first day of week 1 of ...
[82] [83] Thus, a formula counting dates between (for example) February 1, 1900 and March 1, 1900 will return an incorrect result. The bug originated from Lotus 1-2-3 , where it was deliberately implemented to save computer memory, and was also intentionally implemented in Excel for the purpose of bug compatibility . [ 84 ]
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For determination of the day of the week (January 1, 2000, Saturday) the day of the month: 1; the month: 6; the year: 0; the century mod 4 for the Gregorian calendar and mod 7 for the Julian calendar 0; adding 1 + 6 + 0 + 0 = 7. Dividing by 7 leaves a remainder of 0, so the day of the week is Saturday.