What is an ISO 8601 ordinal date?

An ordinal date identifies a day by its year and its position in that year. It is written as YYYY-DDD, where DDD is the day-of-year from 001 to 365 (or 366 in a leap year). For example, 2026-060 is the 60th day of 2026.

How is the day-of-year calculated?

The day-of-year is the count of days from January 1 (day 1) up to and including the target date. The tool sums the lengths of all earlier months in that year plus the day-of-month, adding one extra day in February during leap years.

How are leap years handled?

A year is a leap year if it is divisible by 4, except century years which must be divisible by 400. So 2000 and 2024 are leap years, but 1900 and 2100 are not. Leap years have 366 days, making day 366 (December 31) valid.

Is this the same as a Julian day number?

No. An ordinal date resets to 1 each year, so it only ranges 1-366. A Julian Day Number is a continuous count of days since 4713 BC and is a different system, though both are sometimes loosely called the day number.

Does it work for any year?

Yes. The Gregorian leap-year rule is applied for every year you enter, so conversions are correct for past and future dates. The tool does not adjust for the historical Julian-to-Gregorian switch.

Ordinal Date Converter

Convert any calendar date into its ISO 8601 ordinal date — the year plus the day-of-year (001–366) — or convert an ordinal date back to a normal calendar date. Ordinal dates are common in scientific data, aviation, and mainframe systems where the day number within the year matters more than the month.

How it works

An ordinal date is written YYYY-DDD. The DDD part is the day-of-year: January 1 is day 1, and December 31 is day 365 in a common year or day 366 in a leap year.

To find the day-of-year, the tool adds up the lengths of every month before the target month, then adds the day-of-month:

dayOfYear = sum(daysInMonth[0..month-1]) + day

February counts as 29 days when the year is a leap year. The Gregorian leap-year test is:

isLeap = (year % 4 === 0 && year % 100 !== 0) || (year % 400 === 0)

To convert back, the tool walks forward month by month, subtracting each month’s length from the day-of-year until the remainder fits inside a month — that remainder is the day, and the month it stopped on is the calendar month.

Example

The 60th day of 2026:

2026 is not a leap year (2026 % 4 ≠ 0).
January has 31 days, leaving 60 − 31 = 29.
February (28 days in 2026) covers up to day 59, so 29 lands on March.
29 − 28 = 1 → March 1, 2026, i.e. 2026-060.

In a leap year such as 2024, the same day-of-year 60 would fall on February 29 instead, because February holds an extra day.

Notes

The valid range for the day-of-year is 1–365 in common years and 1–366 in leap years; entering a larger number is rejected. Everything runs locally in your browser — no dates are uploaded.