This leap year calculator is designed to determine whether a specific year is a leap year or not based on established rules.
A leap year is a year that contains an extra day, February 29, making it 366 days long instead of the typical 365 days. This adjustment is necessary to keep our calendar year synchronized with the astronomical year, which is about 365.2425 days long.
To understand how this works, consider the following examples:
- Year 2020: Divisible by 4 (2020 ÷ 4 = 505), hence it is a leap year.
- Year 1900: Divisible by 4 (1900 ÷ 4 = 475), but also divisible by 100 (1900 ÷ 100 = 19) and not by 400, so it is not a leap year.
- Year 2000: Divisible by 4 (2000 ÷ 4 = 500), divisible by 100 (2000 ÷ 100 = 20), and also divisible by 400 (2000 ÷ 400 = 5), thus it is a leap year.
Leap Year Calculator
| Year | Calculation | Result |
|---|---|---|
| 1600 | 1600 ÷ 4 = 400, 1600 ÷ 100 = 16, 1600 ÷ 400 = 4 | Leap Year |
| 1700 | 1700 ÷ 4 = 425, 1700 ÷ 100 = 17 | NOT a Leap Year |
| 1800 | 1800 ÷ 4 = 450, 1800 ÷ 100 = 18 | NOT a Leap Year |
| 1900 | 1900 ÷ 4 = 475, 1900 ÷ 100 = 19 | NOT a Leap Year |
| 1904 | 1904 ÷ 4 = 476 | Leap Year |
| 1996 | 1996 ÷ 4 = 499 | Leap Year |
| 2000 | 2000 ÷ 4 = 500, 2000 ÷ 100 = 20, 2000 ÷ 400 = 5 | Leap Year |
| 2004 | 2004 ÷ 4 = 501 | Leap Year |
| 2024 | 2024 ÷ 4 = 506 | Leap Year |
| 2028 | 2028 ÷ 4 = 507 | Leap Year |
| 2032 | 2032 ÷ 4 = 508 | Leap Year |
| 2036 | 2036 ÷ 4 = 509 | Leap Year |
| 2040 | 2040 ÷ 4 = 510, 2040 ÷ 100 = 20.4 | Leap Year |
| 2044 | 2044 ÷ 4 = 511 | Leap Year |
| 2048 | 2048 ÷ 4 = 512 | Leap Year |
| 2100 | 2100 ÷ 4 = 525, 2100 ÷ 100 = 21 | NOT a Leap Year |
| 2104 | 2104 ÷ 4 = 526 | Leap Year |
| 2200 | 2200 ÷ 4 = 550, 2200 ÷ 100 = 22 | NOT a Leap Year |
| 2300 | 2300 ÷ 4 = 575, 2300 ÷ 100 = 23 | NOT a Leap Year |
| 2400 | 2400 ÷ 4 = 600, 2400 ÷ 100 = 24, 2400 ÷ 400 = 6 | Leap Year |
| 2500 | 2500 ÷ 4 = 625, 2500 ÷ 100 = 25 | NOT a Leap Year |
| 2600 | 2600 ÷ 4 = 650, 2600 ÷ 100 = 26 | NOT a Leap Year |
| 2700 | 2700 ÷ 4 = 675, 2700 ÷ 100 = 27 | NOT a Leap Year |
| 2800 | 2800 ÷ 4 = 700, 2800 ÷ 100 = 28, 2800 ÷ 400 = 7 | Leap Year |
Leap Year Formula
=IF(OR(MOD(year,400)=0,AND(MOD(year,4)=0,MOD(year,100)<>0)),"Leap Year", "NOT a Leap Year")
Explanation of the Formula
- MOD(year, 400) = 0: If the year is divisible by 400, it is a leap year.
- AND(MOD(year, 4) = 0, MOD(year, 100) <> 0): If the year is divisible by 4 but not by 100, it is also a leap year.
- If neither condition is met, the year is not a leap year.
How do you calculate leap year?
- Check divisibility by 4: If the year is divisible by 4, proceed to the next step. If not, it is a common year.
- Divide by 100: If the year is divisible by 100, move to the next step. If not, it is a leap year.
- Check divisibility by 400: If the year is divisible by 400, it is a leap year. If not, it is a common year.
Let’s calculate if the year 2024 is a leap year:
- 2024 ÷ 4 = 506 (no remainder, proceed)
- 2024 ÷ 100 = 20.24 (not divisible, so it is a leap year)
Thus, 2024 is a leap year.
Is leap year skipped every 400 years?
Yes, leap years are skipped every 400 years due to the need for precision in our calendar system. The Gregorian calendar, which is the calendar most widely used today, makes adjustments to ensure that the average calendar year is as close as possible to the astronomical year.
Every year divisible by 4 is a leap year, which adds an extra day.
Every year divisible by 100 is not a leap year unless it is also divisible by 400. This rule corrects the overestimation of leap years that would occur if every fourth year was treated as a leap year.
While 1700, 1800, and 1900 are not leap years, 2000 and 2400 are leap years because they are divisible by 400.
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