Procedure to find the Day from a Date - without Calendar

Hello My Dear Readers,

In this publication, I am going to let you know an interesting and an easy way to find the day on which a date falls.

First of all, have a date written somewhee or fixed in your mind in the format DD/MM/YYYY.

The formula is very simple.

The terms involved in are:

F = Final Value

K = Date (Eg. 04, 26, ...)

m = Month (Eg. 09, 11, ...)

C = First two digits of the year (Eg. C = 19 for the year 1999)

D = Last two digits of the year (Eg. D = 99 for the year 1999)

'm' Values for various months :

March   = 1                                        September  = 7

April     = 2                                         October       = 8

May      = 3                                         November   = 9

June      = 4                                         December   = 10

July       = 5                                         January       = 11

August  = 6                                         February    = 12

Note :

• For the months of January and February, take the year (YYYY) as year-1 (YYYY-1)




Do not consider the decimal values for division operations. (Eg. The Value of 19/4 is 4. but not 4.25)

After obtaining the final value, divide it by 7 and note the remainder.

The day can be judged by the remainder value as follows :

Remainder                          Day

        0                                Sunday

        1                                Monday

        2                                Tuesday

        3                               Wednesday

        4                               Thursday

        5                               Friday

        6                               Saturday

Note :

• If the remainder is negative, add it (literally) to the nearest multiple of 7, then this value is to be treated as the final remainder.
• Follow BODMAS rule to solve the second term in the formula.

Example 1:

Let us find the day on which 14 March 1960 falls.

Solution :

For this date, the format is 14/03/1960.

K = 14,          m = 01,          c = 19,          d = 60

F = 14 + [{(13*1)-1}/5] + 60 + (60/4) + (19/4) - (2x19)

F = 14 + 2 + 60 + 15 + 4 - 38

F = 57

Now, if we divide F by 7, we get 1 as remainder.

Therefore, we can conclude from the above table that 14/03/1960 falls on "Monday".

Example 2:

The date is 11/10/2001

Solution :

On solving this we get;

Remainder = -3

As per the last note, add the remainder to the nearest multiple of 7, which gives

Remainder = 7+(-3)

Remainder = 4

Therefore, 11/10/2001 falls on Thursday.

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