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When advancing a century from a century you know the Doomsday for, go back two days, unless the new century is divisible by 400, in which case only go back one day. Use the anchor day for the century to calculate the doomsday for the year. Century Day: Tuesday = 1600, 2000,...
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Luckily, there exists a method, devised by John Conway, to calculate the day of the week of any given day, known as The Doomsday Algorithm. With a little memorization and some practice, you can calculate an answer without needing a phone or an online calendar.
The Doomsday rule, Doomsday algorithm or Doomsday method is an algorithm of determination of the day of the week for a given date. It provides a perpetual calendar because the Gregorian calendar moves in cycles of 400 years.
The Doomsday Algorithm is an algorithm in which you can put in any date and nd out what day of the week it fell on. This algorithm was rst invented by Carroll but then Conway simpli ed it when he came up with the Doomsday rule. The Doomsday rule establishes a date that you can base all other dates o of to nd what day it landed on much quicker.
3 main steps. Century anchor day. Doomsday for that year. Nearest day. Notation. Easier to work with DoWs as numbers. Sunday (0) Monday (1) ... Saturday (6) Century Anchor Day. Remember the 400-year cycle? Two ways to calculate anchor: [1] (5 * (c mod 4)) mod 7 + 2. c = ⌊year/100⌋. • Gives us our starting count.
Conway’s Doomsday Rule The rule referred to is a calculational procedure or mnemonic for determining the day of the week from the date. For simplicity we restrict ourselves to the 20th and 21st centuries, although one can also apply the method to earlier times. We associate each day of the week with one of the numbers 0 through 6, as follows ...
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John Conway Doomsday Device: John Conway is a legendary mathematician who among his many achievements, devised a simple algorithm for figuring out in your head on what day of the week any calendar date would fall. He called it the Doomsday Rule. He was known to be able to perfo….
