Method to determine whether a year is a leap year - Microsoft 365 Apps (2024)

  • Article
  • Applies to:
    Excel 2016, Excel 2016 for Mac, Excel 2013, Excel 2010, Excel 2007, Excel 2003

Summary

This article describes how to determine whether the year in a date that is used in a Microsoft Excel document is a leap year.

More Information

The date system that is used by Excel is based on the Gregorian calendar, first established in 1582 by Pope Gregory XIII. This calendar was designed to correct the errors introduced by the less accurate Julian calendar.

In the Gregorian calendar, a normal year consists of 365 days. Because the actual length of a sidereal year (the time required for the Earth to revolve once about the Sun) is actually 365.2425 days, a "leap year" of 366 days is used once every four years to eliminate the error caused by three normal (but short) years. Any year that is evenly divisible by 4 is a leap year: for example, 1988, 1992, and 1996 are leap years.

However, there is still a small error that must be accounted for. To eliminate this error, the Gregorian calendar stipulates that a year that is evenly divisible by 100 (for example, 1900) is a leap year only if it is also evenly divisible by 400.

For this reason, the following years are not leap years:

1700, 1800, 1900, 2100, 2200, 2300, 2500, 2600

This is because they are evenly divisible by 100 but not by 400.

The following years are leap years: 1600, 2000, 2400

This is because they are evenly divisible by both 100 and 400.

Because versions of Microsoft Excel earlier than Excel 97 handle only years from 1900 to 2078, only the year 1900 is subject to the 100/400 exclusion rule of leap years in Microsoft Excel. However, in order to be compatible with other programs, Microsoft Excel treats the year 1900 as a leap year.

How to determine whether a year is a leap year

To determine whether a year is a leap year, follow these steps:

  1. If the year is evenly divisible by 4, go to step 2. Otherwise, go to step 5.
  2. If the year is evenly divisible by 100, go to step 3. Otherwise, go to step 4.
  3. If the year is evenly divisible by 400, go to step 4. Otherwise, go to step 5.
  4. The year is a leap year (it has 366 days).
  5. The year is not a leap year (it has 365 days).

Formula to determine whether a year is a leap year

Use the following formula to determine whether the year number that is entered into a cell (in this example, cell A1) is a leap year:

=IF(OR(MOD(A1,400)=0,AND(MOD(A1,4)=0,MOD(A1,100)<>0)),"Leap Year", "NOT a Leap Year") 
If the value in cell A1 is thisThe formula returns
1992Leap Year
2000Leap Year
1900NOT a Leap Year
Method to determine whether a year is a leap year - Microsoft 365 Apps (2024)

FAQs

What is the method to determine whether a year is a leap year? ›

To check if a year is a leap year, divide the year by 4. If it is fully divisible by 4, it is a leap year. For example, the year 2016 is divisible 4, so it is a leap year, whereas, 2015 is not. However, Century years like 300, 700, 1900, 2000 need to be divided by 400 to check whether they are leap years or not.

How to determine if a year is a leap year in Excel? ›

Checking Divisibility by 400: (MOD(ROW(...),400)=0) checks if the years in the list are divisible by 400. Combining Checks: The formula combines the above checks to identify leap years. A year is a leap year if it is divisible by 4 AND either not divisible by 100 OR divisible by 400.

How can the user verify whether a year is a leap year or not? ›

Leap Year Logic:

1. If a year is divisible by 4, it's a potential leap year. 2. However, if the year is divisible by 100, it's not a leap year unless the year is divisible by 400.

How do you write a program that determines whether a given year is a leap year or not in Python? ›

Leap Year Program in Python: While Loop

while True: try: year = int(input("Enter a year: ")) if (year % 4 == 0 and year % 100 != 0) or (year % 400 == 0): print("{year) is a leap year. ") else: print(f" (year) is not a leap year.

How do you know if a calendar is a leap year? ›

To figure out if a year is a leap year:
  • Divisible by 4 - Check if the year is evenly divisible by 4.
  • Century Year Rule - If it's a century year (like 1900 or 2000), it must also be divisible by 400.
  • Final Check - If it meets the above criteria, it's a leap year; otherwise, it's not.
Jan 18, 2024

What is the algorithm for determining leap year? ›

The algorithm to determine if a year is a leap year is as follows: Every year that is exactly divisible by four is a leap year, except for years that are exactly divisible by 100, but these centurial years are leap years, if they are exactly divisible by 400.

How do you check if a year is a leap year in moment? ›

js isLeapYear() Function. It is used to check whether the given year is Leap Year or not in Moment. js using the isLeapYear() function that returns true if that year is a leap year and false if it is not.

How do you input a year and find whether it is a leap year or not in Java? ›

Check Leap Year in Java using Ternary Operator

Use boolean condition year % 4 == 0 && year % 100 != 0 || year % 400 == 0. If the boolean condition is true, you can use the ternary operator to return the string “is a leap year”. If the condition is false, the operator can return the string “is not a leap year”.

How do you calculate leap year in probability? ›

  1. There are 366 days in Leap year 366/7 =52 ,remainder 2.
  2. There are 52 weeks & 2 days. 52 Sundays in 52 weeks.
  3. So p(53 Sundays) = 2/7.
  4. Similarly p( 53 Mondays) =2/7.
  5. P(53 Sundays and 53 Mondays) =1/7.
  6. P(53 Sundays or 53 Mondays) = p(53 Sundays)+
  7. p( 53 Mondays) - P(53 Sundays and53Mondays)
  8. = 2/7 +2/7 - 1/7.
Aug 11, 2014

How do you check if a year is leap year without using any operators? ›

If a year is evenly divisible by 4, 100, and 400, then it is a leap year. If a year is divisible by 4 but not by 100 and not divisible by 400, then it is also a leap year.

How do you check whether a year is leap year or not in pseudo code? ›

In pseudocode and using % as the mod operator: Initialize leap = 0 (ie not true) If (year%400 = 0), then leap = 1. If (year%4 =0 AND year%100 ≠ 0) then leap = 1.

What are the rules for leap year? ›

If the year is divisible by four, it's a leap year. But if the year can be divided by 100 as well as four, it's not a leap year. However, if the year is divisible by 400, it is a leap year. This system keeps the calendar aligned with the Solar year to within a few decimal places of accuracy.

How to check whether a year is leap or not? ›

Any year that is evenly divisible by 4 is a leap year: for example, 1988, 1992, and 1996 are leap years.

How do you calculate if a year was a leap year? ›

What is a leap year? To be a leap year, the year number must be divisible by four – except for end-of-century years, which must be divisible by 400. This means that the year 2000 was a leap year, although 1900 was not. 2024, 2028, 2032 and 2036 are all leap years.

How to write a program to find the year is leap year or not in PHP? ›

php function year_check($my_year){ if ($my_year % 400 == 0) print("It is a leap year"); else if ($my_year % 100 == 0) print("It is not a leap year"); else if ($my_year % 4 == 0) print("It is a leap year"); else print("It is not a leap year"); } $my_year = 1900; year_check($my_year); ?>

How did we figure out leap year? ›

To fix his culture's calendar, Roman emperor Julius Caesar created the Year of Confusion when he decided that the year 46 B.C. was going to be 445 days long instead of 365 days long. He then made a 365.25-day year—a tiny bit longer than the 365.2422 solar year—that added a leap day every fourth year.

What is the probability that a year is a leap year? ›

The probability of a year being a leap year is 1/4 and of being a non-leap is 3/4.

How to calculate leap year age? ›

For example, in the United Kingdom, a leapling's age is calculated by taking the number of years passed divided by four. In the United States, the age is calculated by simply adding one year to the individual's age on the last leap year.

Why is 1700 not a leap year? ›

According to the Gregorian calendar, which is the civil calendar in use today, years evenly divisible by 4 are leap years, with the exception of centurial years that are not evenly divisible by 400. Therefore, the years 1700, 1800, 1900 and 2100 are not leap years, but 1600, 2000, and 2400 are leap years.

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