To find the day of the week for any given date, we can use a formula called Zeller's Congruence. Here are the steps:
- Write down the date: 15th August 1947.
- Day (q) = 15
- Month (m) = 8 (August)
- Year = 1947, so we get:
- K = 47 (last two digits of the year)
- J = 19 (first two digits of the year)
- Apply the formula:
The formula for Zeller's Congruence is:
h = (q + floor(13(m + 1) / 5) + K + floor(K / 4) + floor(J / 4) - 2J) mod 7
- Plug the values into the formula:
h = (15 + floor(13(8 + 1) / 5) + 47 + floor(47 / 4) + floor(19 / 4) - 2(19)) mod 7
- Calculate the terms:
- floor(13(9) / 5) = floor(117 / 5) = 23
- floor(47 / 4) = 11
- floor(19 / 4) = 4
- Final calculation:
h = (15 + 23 + 47 + 11 + 4 - 38) mod 7
Simplified: h = 62 mod 7 = 6
- Interpret the result:
h = 6
, which corresponds to Friday (where 0 = Saturday, 1 = Sunday, ..., 6 = Friday).
Thus, 15th August 1947 was a Friday.