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Timer Prescaler Counter Bit Budget Tool

Calculate timer prescaler counter bit budget from explicit caller-supplied inputs.

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Description

Floor inputTicks / prescaler for counterTicks.

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.

Floor inputTicks / prescaler for counterTicks.

When to use this tool

Use Timer Prescaler Counter Bit Budget when you need a timer period, wrap delta, or explicit count-budget term.

How to use the tool and how it works

  1. Enter inputTicks, prescaler, bits. Use the units and conventions below.
  2. Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
  3. Read counterTicks, overflows, remainder. Use the output convention below.

Floor inputTicks / prescaler for counterTicks. Divide that count by 2^bits into overflows and remainder, with bits from 1 through 32.1

Input fieldMeaning and unitsAccepted input
inputTicksInput TicksRequired. Safe integer; minimum 0.
prescalerPrescalerRequired. Safe integer; minimum 1.
bitsBitsRequired. Safe integer; minimum 1; maximum 32.
Output fieldInterpretationReturned shape
counterTicksCounter TicksRequired. Safe integer.
overflowsOverflowsRequired. Safe integer.
remainderRemainderRequired. Safe integer.
json
{
  "input": {
    "inputTicks": 1000,
    "prescaler": 4,
    "bits": 8
  },
  "output": {
    "counterTicks": 250,
    "overflows": 0,
    "remainder": 250
  }
}

Limitations and assumptions

  • Discarded prescaler remainder is not returned; the model assumes a zero initial counter and simple wraparound behavior.
  • 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

  1. Calculation and input contract: microcontroller/timer-prescaler-counter-bit-budget — tool.io

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