DOOMSDAY Logs
As numbers 0–6, starting from Sunday — so all the arithmetic is done mod 7.
Day
#
Sunday
0
Monday
1
Tuesday
2
Wednesday
3
Thursday
4
Friday
5
Saturday
6
Every step of Doomsday adds or subtracts small numbers and reduces mod 7 (keep the remainder after dividi...
Q What are the century anchor days you need to memorise?
A doomsday for each century's "00" year: 1800s → Friday, 1900s → Wednesday, 2000s → Tuesday, 2100s → Sunday.
Century
Anchor
#
1700s / 2100s
Sunday
0
1800s / 2200s
Friday
5
1900s / 2300s
Wednesday
3
2000s / 1600s
Tuesday
2
The pattern repeats every 400 years (the G...
Q Give the full list of doomsday dates in one table.
Even months double up; odd months follow "9-to-5 at 7-11"; Jan/Feb shift for leap years; March uses Pi Day.
Month
Doomsday date
Jan
3 (common) / 4 (leap)
Feb
28 (common) / 29 (leap)
Mar
14 (Pi Day) — or "0"
Apr
4/4
May
5/9
Jun
6/6
Jul
7/11
Aug
8/8
Sep
9/5...
Q What are the even-month doomsday dates?
The "doubles": 4/4, 6/6, 8/8, 10/10, 12/12 — each even month has its doomsday on the day equal to the month number.
April → 4/4
June → 6/6
August → 8/8
October → 10/10
December → 12/12
All five fall on the year's doomsday. They're the easiest to recall — month number repeated —...
Q How do you turn the century anchor into the year's doomsday (the "12-remainder-quarter" method)?
Split the last two digits with 12: doomsday = anchor + q + r + s (mod 7), where q = YY÷12, r = the remainder, s = r÷4.
For year 19YY:
q = how many whole 12s in YY.
r = what's left over (YY − 12q).
s = r ÷ 4 (whole part).
Add q + r + s to the century anchor, mod 7.
This small su...
Q Another full run: what day was 15 August 2001?
Wednesday.
Anchor (2000s) = Tuesday (2).
Year 01: q = 0, r = 1, s = 0 → 2 + 0 + 1 + 0 = 3 = Wednesday (year's doomsday).
The date: August's doomsday is 8/8 (Wednesday). 15 − 8 = 7, 7 mod 7 = 0 → 15 August is also Wednesday.
Check: 15 August 2001 was a Wednesday. ✓ Notice step 3...
Q What are the doomsday dates for the odd months 5, 7, 9, and 11?
Remember "I work 9-to-5 at the 7-11": the pairs 5/9 & 9/5, and 7/11 & 11/7.
May → 5/9, September → 9/5 ("9-to-5")
July → 7/11, November → 11/7 ("7-11")
Each of these also lands on the year's doomsday. The mnemonic pairs a small month with a big day and vice-versa, so you get al...
Q What is a year's "doomsday"?
A single weekday, specific to that year, on which a whole set of easy-to-remember dates all fall.
For example, in 2024 the doomsday is Thursday, so 4/4, 6/6, 8/8, 10/10, 12/12 (and several more) were all Thursdays that year. The genius is that once you know one year's doomsday, y...
Q Work out the doomsday for 1978 step by step.
1978 → Tuesday.
Century anchor for the 1900s = Wednesday (3). Now YY = 78:
q = 78 ÷ 12 = 6
r = 78 − 72 = 6
s = 6 ÷ 4 = 1
Sum: 3 + 6 + 6 + 1 = 16, and 16 mod 7 = 2 = Tuesday.
Check: 1978's doomsday is indeed Tuesday. ✓ (So 4/4/1978, 6/6/1978, etc. were all Tuesdays.)
Q What is the leap-year rule you must apply?
A year is a leap year if it's divisible by 4 — except century years, which must be divisible by 400.
2020 → ÷4 → leap. ✓
1900 → ÷100 but not ÷400 → not leap.
2000 → ÷400 → leap. ✓
2023 → not ÷4 → not leap.
This matters because leap years change the January and February doomsday...