Calendar

Rumman Ansari   Software Engineer   2024-07-28 08:37:54   161  Share
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Calendar Mathematics Formulas and Concepts

Odd Days

Odd days are the number of days more than the complete weeks in a given period.

Leap Year

A leap year has 366 days (52 weeks and 2 days).

Leap Year={Divisible by 4and not by 100orDivisible by 400

Ordinary Year

An ordinary year has 365 days (52 weeks and 1 day).

Counting Odd Days

  • 1 ordinary year = 1 odd day
  • 1 leap year = 2 odd days

Number of Odd Days in Given Days

Odd Days=Total Daysmod7

Finding the Day of the Week

To find the day of the week for any given date:

  1. Calculate the number of odd days up to that date.
  2. Use the reference day (e.g., 1st January 1900 was a Monday).

Day Codes

Each day of the week is associated with a code:

  • Sunday: 0
  • Monday: 1
  • Tuesday: 2
  • Wednesday: 3
  • Thursday: 4
  • Friday: 5
  • Saturday: 6

Month Codes

Each month has a specific code:

  • January: 0 (6 in a leap year)
  • February: 3 (2 in a leap year)
  • March: 3
  • April: 6
  • May: 1
  • June: 4
  • July: 6
  • August: 2
  • September: 5
  • October: 0
  • November: 3
  • December: 5
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