Leap Year Calculator

Leap Year is evaluated from Year. The calculation reports Is Leap Year?, Days in Year and Next Leap Year.

Results

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About the Leap Year Calculator

Leap Year is treated here as a quantitative relation between Year and Is Leap Year?, Days in Year, Next Leap Year and Previous Leap Year.

The calculator uses a multi formula configuration. Each reported value is read as a direct evaluation of the stored rules with the declared field formats and units.

Formula basis:
`(Y mod 4 = 0 AND Y mod 100 ≠ 0) OR (Y mod 400 = 0)`
Next leap year: increment from Y+1 until the rule is satisfied.
Previous leap year: decrement from Y-1 until the rule is satisfied.

Interpret the outputs in the order shown by the result fields. Optional inputs affect only the outputs that depend on those variables.

Formula & How It Works

The calculation applies the following relations exactly as recorded in the metadata:

`(Y mod 4 = 0 AND Y mod 100 ≠ 0) OR (Y mod 400 = 0)`
Next leap year: increment from Y+1 until the rule is satisfied.
Previous leap year: decrement from Y-1 until the rule is satisfied.

Each output field is produced by substituting the supplied inputs into the relevant relation and then applying the declared rounding or text format.

Worked Examples

Example 1: 2024 — Presidential Election Year

Inputs

year: 2024
Is Leap Year?: Yes - Leap Year ✓. Days in Year: 366 days. Next Leap Year: 2,028. Previous Leap Year: 2,020. Days in February: 29 days

With Year = 2,024 as the stated inputs, the result is Is Leap Year? = Yes - Leap Year ✓, Days in Year = 366 days and Next Leap Year = 2,028. Each value corresponds to the declared output fields.

Example 2: 1900 — Century Year NOT a Leap Year

Inputs

year: 1900
Is Leap Year?: No - Common Year. Days in Year: 365 days. Next Leap Year: 1,904. Previous Leap Year: 1,896. Days in February: 28 days

With Year = 1,900 as the stated inputs, the result is Is Leap Year? = No - Common Year, Days in Year = 365 days and Next Leap Year = 1,904. Each value corresponds to the declared output fields.

Example 3: 2000 — Special Century Leap Year

Inputs

year: 2000
Is Leap Year?: Yes - Leap Year ✓. Days in Year: 366 days. Next Leap Year: 2,004. Previous Leap Year: 1,996. Days in February: 29 days

With Year = 2,000 as the stated inputs, the result is Is Leap Year? = Yes - Leap Year ✓, Days in Year = 366 days and Next Leap Year = 2,004. Each value corresponds to the declared output fields.

Example 4: 2100 — Future Century NOT a Leap Year

Inputs

year: 2100
Is Leap Year?: No - Common Year. Days in Year: 365 days. Next Leap Year: 2,104. Previous Leap Year: 2,096. Days in February: 28 days

With Year = 2,100 as the stated inputs, the result is Is Leap Year? = No - Common Year, Days in Year = 365 days and Next Leap Year = 2,104. Each value corresponds to the declared output fields.

Common Use Cases

  • Check if a birth year is a leap year (Feb 29 birthdays)
  • Verify if a contract year has 365 or 366 days
  • Determine leap years for financial projections