General Mathematics


Calculating the Day of the Week – Direct Substitution

Authors: Dave Ryan T. Cariño

Abstract. This study is an algorithm of calculating the day of the week for any given date in Gregorian & Julian calendar using simplified formula. It consists of eight algebraic 6 for Julian expression, five of which are integer function by substituting the year, month and day. This formula will calculate the modulo 7 which gives a number from 0 to 6, i.e., 0Saturday, 1Sunday, and so on, that determines the exact day of the week. This algorithm has no condition even during leap‐year and 400‐year cycle.

Comments: 4 Pages.

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Submission history

[v1] 2018-01-10 21:19:17
[v2] 2018-01-13 21:46:46
[v3] 2018-01-17 23:02:26
[v4] 2018-01-18 05:35:40

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