Tick Counter Wrap Safe Half Range Tool

Description

For a width in 2-32 bits, return halfRange = 2^(bits - 1) and unambiguous when supplied delta is strictly below it.

Timer formulas depend on whether endpoints are inclusive, the count direction, prescaling, and wrap behavior. A counter reading alone cannot reveal an arbitrary number of elapsed wraps.

For a width in 2-32 bits, return halfRange = 2^(bits - 1) and unambiguous when supplied delta is strictly below it.

When to use this tool

Use Tick Counter Wrap Safe Half Range when you need a timer period, wrap delta, or explicit count-budget term.

How to use the tool and how it works

Enter bits, delta. Use the units and conventions below.
Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
Read halfRange, unambiguous. Inspect unambiguous before interpreting the associated values.

For a width in 2-32 bits, return halfRange = 2^(bits - 1) and unambiguous when supplied delta is strictly below it.^[1]

Input field	Meaning and units	Accepted input
bits	Bits	Required. Safe integer; minimum 2; maximum 32.
delta	Delta	Required. Safe integer; minimum 0.

Output field	Interpretation	Returned shape
halfRange	Half Range	Required. Safe integer.
unambiguous	Unambiguous	Required. Boolean.

json

{
  "input": {
    "bits": 8,
    "delta": 127
  },
  "output": {
    "halfRange": 128,
    "unambiguous": true
  }
}

Limitations and assumptions

The exact half-range is ambiguous; no timestamps, wrap history, or clock units are inferred.
Inputs must satisfy both the field types and the cross-field conditions above. Invalid input causes an error; a successful false flag or documented placeholder is a different result.
Numeric calculations use binary floating point unless exact decimal-integer arithmetic is explicitly stated. No hidden measurement tolerance or decimal rounding is added; nonfinite or out-of-contract results are rejected. Numeric signed-zero results are exported as zero.

Alternative or Complementary methods

Check the timer mode and register semantics in the device documentation, including synchronization and latency.

References

Calculation and input contract: microcontroller/tick-counter-wrap-safe-half-range — tool.io

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