Time conversion family

Time unit conversions

Time is the SI base quantity with dimension T; the second (s) is its SI base unit. This family represents elapsed duration, not a civil timestamp.

Five named units

Unit and factor reference

Base: s
Factors are stored as decimal strings relative to second (s).
UnitSymbolFactor to baseRelationshipDefinition and variant
seconds1defined

The second is the SI base unit of time, defined by taking the fixed numerical value of the caesium-133 hyperfine transition frequency as 9,192,631,770 Hz.

Named variant: Elapsed SI second; not second of plane angle or a leap-second event label.

The base factor is exactly 1 by the family base-unit choice.

minutemin60conventional

The minute is a long-standing non-SI unit of time with 1 min = 60 s.

Named variant: Minute of elapsed time; not minute of plane angle (′).

The stated relationship is exact.

hourh3600conventional

The hour is a long-standing non-SI unit of time with 1 h = 60 min = 3600 s.

Named variant: Elapsed hour of fixed duration; not a clock reading affected by time-zone changes.

The stated relationship is exact.

dayd86400conventional

The day in this duration family is 24 hours: 1 d = 24 h = 86,400 s.

Named variant: Fixed 24-hour elapsed day; not a variable civil calendar day or solar-day observation.

The stated fixed-duration relationship is exact.

weekwk604800conventional

This converter preserves the conventional seven-day week: 1 wk = 7 d = 604,800 s.

Named variant: Fixed seven-day elapsed duration; not an ISO week-numbering calculation or business week.

The arithmetic is exact for the documented seven-day convention. NIST SP 811 supports use of week intervals and the archived FIPS 4-1/ISO 8601:1988 record supplies the direct seven-day definition; that archive is historical evidence, not a current federal standard.

Every ordered pair

All 20 time calculators

Evidence and review status

This family is machine-reviewed-pending-human. Automated checks verify structure, factor parity and source references; they do not constitute human or specialist approval.

Family assumptions and limits

  • This family converts non-negative durations only; it does not handle dates, time zones, daylight-saving transitions, leap seconds, or calendar arithmetic.
  • Minute, hour, and day use the fixed relationships stated in the current SI Brochure: 60 s, 3600 s, and 86,400 s.
  • NIST SP 811 recognizes weeks as time intervals used outside its accepted-unit table; the direct seven-day definition is supported by an archived historical FIPS 4-1/ISO 8601:1988 record, not by a current federal standard.

Authoritative references

  • The International System of Units (SI), 9th edition, version 4.01; Bureau International des Poids et Mesures; Section 2.3.1, second definition on p. 126; Section 4, Table 8, p. 140: 1 min = 60 s, 1 h = 3600 s, and 1 d = 86,400 s. The table does not list week.; accessed 2026-08-07
  • The International System of Units (SI), NIST Special Publication 330, 2019 edition; National Institute of Standards and Technology; Section 2.3.1, SI base-unit definition of the second; Section 4, Table 8, minute/hour/day relationships. NIST's current SP 330 landing page identifies 2019 as the current edition.; accessed 2026-08-07
  • NIST Guide to the SI, Chapter 5: Units Outside the SI; National Institute of Standards and Technology; Section 5.1.1 recognizes that time intervals may need to be expressed in weeks; Table 6 gives the exact minute, hour, and 86,400-second day relationships. NIST notes that SP 811 has not yet been updated for the 2019 SI revision, so current SI definitions remain sourced to SP 330/BIPM.; accessed 2026-08-07
  • Archived FIPS PUB 4-1 adoption material: ISO 8601:1988 and Technical Corrigendum 1; National Institute of Standards and Technology legacy archive; Historical archived adoption material only, not a current federal standard. The reproduced ISO 8601:1988 text, section 3.16 on PDF page 10, defines a week as a seven-day period; section 3.17 separately defines a calendar week.; accessed 2026-08-07