Embedded timestamp rollover calculator

Calculate time until next rollover and modular elapsed interval with your own figures.

Your numbers

Use the units shown. Results update as you change valid inputs.

Use time until next rollover and modular elapsed interval to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Unsigned counter width (bits)
32
Counter clock (Hz)
1000
Start counter
4000000000
Later counter
100
Time until next rollover (seconds)
294,967.296
Modular elapsed interval (seconds)
294,967.396

Try another scenario

Unsigned counter width (bits)
32
Counter clock (Hz)
2000
Start counter
4000000000
Later counter
100
Time until next rollover (seconds)
147,483.648
Modular elapsed interval (seconds)
147,483.698
Calculation method

Calculation method

Time until next rollover (seconds)

(2^bits−start)/clock.

Modular elapsed interval (seconds)

(later−start mod2^bits)/clock; assumes at most one wrap.

Symbols and units
a
Unsigned counter width (bits)
b
Counter clock (Hz)
c
Start counter
d
Later counter

Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.

Assumptions & limits

Assumptions & limits

  • Counter width, clock frequency, start count. Returns Rollover time and modular intervals. All coefficients and observations are user supplied; results describe only the stated mathematical model. Quantities are deterministic calculations from supplied observations and assumptions; no external data is fetched. Supported limits: Finite inputs only; numeric fields bounded as labelled. Lists and JSON records are limited to 256 entries unless a stricter tool bound is stated. No automatic design approval, legal conclusion, treatment recommendation or safety certification. Unsigned counter width (bits): minimum 1, maximum 48. Counter clock (Hz): minimum 1e-12, maximum 1000000000000.0. Start counter: minimum 0, maximum 281474976710655. Later counter: minimum 0, maximum 281474976710655.
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