Calculateur de Temps : Additionner & Soustraire

Additionnez et soustrayez des heures, minutes et secondes en base sexagésimale.

swap_driving_apps_wheel Sexagesimal Engine v2.4

Fast Presets Click to populate formula

1 Initial Duration

Start Interval

Hours

Minutes

Seconds

add Add remove Subtract

2 Second Duration

Hours

Minutes

Seconds

add Add remove Subtract

3 Third Duration

Hours

Minutes

Seconds

Computed Total Result

09h 35m 45s

Direct Notation 9 Hours, 35 Minutes, 45 Seconds

Decimal Hours hourglass_top

9.5958 hrs

For payroll & invoices

Total Minutes schedule

575.75 mins

Base-60 minutes product

Total Seconds shutter_speed

34,545 secs

Raw timestamp integer

account_tree

Sexagesimal Arithmetic Carryover Ledger

✓ SECONDS: Sum of raw seconds: 30s + 15s + 0s = 45s (under 60, zero carryover required).

✓ MINUTES: Sum of raw minutes: 45m + 35m + 15m = 95m. Base-60 split: 95m ÷ 60 = 1 hr carryover with 35m remaining.

✓ HOURS: Sum of raw hours: 5h + 2h + 1h = 8h + (1h carried over) = 9 Hours total.

Ressource Sponsorisée High-Throughput Date & Time SDK

The Rules of Sexagesimal (Base-60) Arithmetic Explained

Unlike the standard decimal system (Base-10) where numbers roll over at powers of 10, time arithmetic operates on the ancient Sumerian sexagesimal system (Base-60). Every time an addition reaches 60 units, a carryover must increment the higher tier.

When subtracting, the inverse process takes place: if the minutes minuend is smaller than the subtrahend, borrow 1 hour to convert it into 60 additional minutes before subtracting.

Quick Decimal-to-Time Conversion Reference Table

Standard Payroll Multipliers

Clock Minutes	Exact Decimal Hour	Rounded Payroll (2 dec.)	Direct Equivalent
05 min	0.0833 hr	0.08 hr	1/12th of an hour
15 min	0.2500 hr	0.25 hr	Quarter hour
30 min	0.5000 hr	0.50 hr	Half hour
45 min	0.7500 hr	0.75 hr	Three-quarter hour
50 min	0.8333 hr	0.83 hr	5/6th of an hour
60 min	1.0000 hr	1.00 hr	1 Complete standard hour

Frequently Asked Time Calculation Questions

If subtractions exceed additions (for instance, 2h − 3h 15m), the engine shifts into delta mode, outputting a signed duration of -01h 15m 00s and displaying the inverse decimal offset (-1.25 hrs). This is vital for shift overtime deficits or flight departure delays.

Financial software cannot multiply wage rates by sexagesimal values (e.g., $25.00 × 7 hours 45 minutes will compute errantly as $175.45 if entered natively). Converting 45 minutes to 0.75 decimal hours enables precise multiplication: $25.00 × 7.75 = $193.75.

All inputs are converted into an absolute integer sum of seconds: Total Seconds = (Hours × 3600) + (Minutes × 60) + Seconds. Arithmetic operators are applied sequentially. The final integer is then decomposed using modulo arithmetic: H = ⌊S / 3600⌋, M = ⌊(S % 3600) / 60⌋, and S_rem = S % 60.