How do you find a day in any date?

Answer 1

The Day Finding Formula Step-wise Detail

Step (a): To take the year digit.

At first we shall look up the digits of year which are mostly last two digits.

For an instance: There is 4/4/1975. We shall take last two digits 75 because they are Year digits.

Step (b): (To Find the 1/4 Value of year)

Divide Year Digit by 4 and its answer should include in calculation. Note:- we shall take neither its remainder, nor fractional part but record the integral value of the answer only. As, in 1998, the year digit is 98 and if we divide it by 4, answer will be 24 and remainder will be 2. We shall just take 24 and leave 2. In the same way, in 2015, the year digit is 15. If we divide 15 by 4, the answer will be 3.75. We shall take just integral part 3 and drop its fractional part .75.

What is the Leap Year?

Leap year means the year which can be divided by 4 such as 1988, 1996, 2000, 2048 etc.

Deduction of (1) in Leap Year

Remember, Leap years whether 1988, 1996, 2000, 2020, 2084 or any others they may be when there happens any date of January or February, we shall subtract 1 from the total.

Note: In addition to Leap year, Every Century that is divided by 400 as in 1200, 1600, 2000 etc., 1 will also deducted from any of the dates of January and February. But the Century which is not divided by 400 such as 100, 1400, 1700, 1900 etc, 1 will not be subtracted.

Step(c & d): Calculate Date & Month Number

After taking the digit of Year and its 1/4 value, we shall include the Date and Month number to find the day of any date. For example April 4, 1975 (OR) 4/4/1975: 4(Date) + 4(Month Number) = 8

Step (e): Month Code

Month codes are applied in accordance with a month such as:-

Jan = 0 Feb = 2 March= 1 April = 3 May = 4 June = 6

July = 0 Aug = 2 Sept = 4 Oct = 5 Nov = 0 Dec = 1

Step (f): Century Code

There are different Century Codes for the set of 4 Centuries and they will continue respectively

100's = 3, 200's = 1, 300's = 6, 400's = 5

To find out Century Code, divide Century digit by 4. If remainder is 1, Century Code will be 3, if remainder is 2, century code will be 1, if remainder is 3, century code will be 6 and if the remainder is 0, then Century Code will be 5. As 1935, Century Digit is 19, if divided by 4, remainder will be 3 and Century Cod will be 6.

To avoid cramming, first of all divide the Century Digit by 4. In remainder digit, add 1 and multiply it by 5. Then divide the total product by 7, now the remainder will be the century code. For example in 1482, the Century digit is 14. 14 divided by 4=Remainder will be 2+1=3×5=15/7= the remainder will be 1, so Century Cod will be 1. This will be from 1400 to 1499.

In another example of 2000, see the formula, 20/4= Remainder 0+1=1×5= 5

As 5 is smaller than 7, it is unnecessary to divide it by 7. For 20th Century, Code will be 5. Along with 2000, 2050, 2093 etc, for the whole 20th Century, the code will be 5.

Step (g):

Taking total of Year Digit + Year/4 Value + Date + Month Number + Month Code + Century Code, We shall divide the final figure by 7.

Step (h): The Day Table:

After dividing by 7, there comes the remainder which will show a day.

Look at the remainder,

if1, it is Monday, if 2, it is Tuesday, if 3, it will be Wednesday, if 4, it is Thursday, if 5, it is Friday, if 6, it is Saturday, if it is 0, it is Sunday.

The Day Finding Formula in Brief

(a) Year Digit + (b) Year/4 + (c) Date + (d) Month Number + (e) Month Code + (f)Century Code

(g)Total divided by 7. (h) Remainder what comes, look up in the Day Table will show the day of any date.

As in 22/10/1973

(a) 73(Year) + (b) 18Capital Value (1/4 of 73) + (c) 22(Date) + (d) 10(Month Number) + (e)5(Month Code) + (f) 6(Century Code) = 134

(g) Divide total 134 by 7, (h) Remainder will be 1. Look up the Day Table. The digit 1 will show Monday. So the day of October 22, 1973 is Monday.

Likewise, find out the day of 18/02/2000:-

(a) 00(Year) + (b) 0 (00Year/4 Value) + (c)18(Date) + (d) 2(Month Number) + (e) 2(Month Code) + (f) 5(Century Code) = 27

(g) As Century Digit 20 can be divided by 4, the date is also within Jan 1 to Feb 29, deduct 1 from final sum 27-1=26. Now divide 26 by7= (h) Remainder is 5. Look up Date Table, 5 will show Friday. So 18/02/2000 is Friday.