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Find out the day of the week

You can easily find out the day of any week using the formula

d + m + y + ( y / 4 ) + c

d - date,

m - month

y - is the last two digits of the year.

c is the century.

If the first two digit of the year is divisible by 4, then the value of c will be 6. If not, successive century will be reduced by 2.

For Example:

Consider for the centuries 1600, 1700, 1800, 1900, 2000, 2100, 2200 the century value will be 6, 4, 2, 0, 6, 4, 2.

For month, substitute the values given in the month table.

Month Table:

MonthMonth NumberMonth no (leap year)
January06
February32
March33
April66
May11
June44
July66
August22
September55
October00
November33
December55

Day Table:

DayDay Number
Sunday0
Monday1
Tuesday2
Wednesday3
Thursday4
Friday5
Saturday6

For Example, 5 / 1 / 2015

Substituting in the formula,

d + m + y + ( y / 4 ) + c = 5 + 0 + 15 + ( 15 / 4) + 6

= 5 + 0 + 15 + 3 (integer) + 6

= 29 / 7 (Divide the obtained value with the total number of days)

Here the remainder is 1, its Monday.

Let us try an other example with leap year, 13.6.1992

Substituting in the formula,

d + m + y + ( y / 4) + c = 13 + 4 + 92 + 92 / 4 + 0

= 132 / 7

Here the remainder is 6, its Saturday

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Daily Maths Topic Today - find out the day of the week.