Calculate the weekday of any date in any month, year and century very easily. All you have to do is to follow the instructions in every step carefully.

 

STEP1: -

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Write down the following: -

  1. The year (last two digits only).

  2. The date.

  3. The code of the month (from table 2).

  4. The century code (from table 1).

   Explanation: -Divide the first two digits of the year by 4 and according to the remainder see the corresponding century code.

  1. The leap year before the given year (last two digits)/4.

   Explanation: -Take the leap year, which is, just before the given year and divide it by 4.

 

STEP2: -

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Add all the numbers and also add 1 (one) if the given year is a leap year and the month is after February.
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STEP3: -
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Now divide, the result by 7 and according to the remainder see table-3 and know the weekday of the given day.

 

NOTE: -

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Century years are years in which the last two digits are 00.
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Leap years are the years that are divisible by 4.
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Century years must be divisible by 400 to be leap years. For example,1900,1800,2100 are not leap years but 2000,2400 are leap years.
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Even if the given year is a leap year the previous leap year must be taken for calculation in step1.
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If the year is a century year then there is no need to take the previous leap year for calculation.
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In table-1 if the remainder is 0 &year is a century year then the century code must be taken as 6. If the remainder is 0 & the year is not a century year, then the century code must be taken as 0. That is for example 2000 century code is 6 and 2075 century code is 0.

 

                                                        TABLE-1   

REMAINDER FORMED WHEN THE FIRST 2 DIGITS OF THE YEAR ARE DIVIDED BY 4

 CENTURY CODE

0

0 or6

1

5

2

3

3

1

                                  TABLE-2      

MONTH

CODE

January, October

6

May

0

August

1

February, March, November

2

June

3

September, December

4

April, July

5

TABLE-3

REMAINDER FORMED WHEN THE RESULT IS DIVIDED BY 7

WEEKDAY

 

0

Sunday

1

Monday

2

Tuesday

3

Wednesday

4

Thursday

5

Friday

6

Saturday

 

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