Bit String Previous Set Position

Find the last set bit strictly before an explicit position; null preserves absence instead of inventing an index.

Description

Find the last set bit strictly before an explicit position; null preserves absence instead of inventing an index.

A previous-set query locates the nearest one strictly before a boundary position.

When to use this tool

Find the last set bit strictly before an explicit position; null preserves absence instead of inventing an index.

  • Prepare the supplied bits, position fields for this operation.
  • Compare the complete example with the representation used by your own input before carrying the result into another step.

How to use the tool and how it works

  1. Enter bits, position. Use the exact text syntax, units and index conventions explained below.
  2. Run the tool. If input validation fails, correct the supplied fields before interpreting any result.
  3. Read result.position. Interpret false, null and empty lists using the distinctions below; they can be valid outputs.

Require position from zero through the bitstring length. Collect set indexes smaller than position and return the last, or null when absent.1

Input fieldMeaning and representationAccepted input
bitsbits.Binary text containing only 0 and 1; at most 128 characters
positionposition.Integer from 0 to bits.length inclusive
Output fieldInterpretation
resultObject containing the named outputs below.
result.positionZero-based matching position, or null when the requested match is absent.
json
{
  "input": {
    "bits": "10100",
    "position": 2
  },
  "output": {
    "result": {
      "position": 0
    }
  }
}

Limitations and assumptions

  • The boundary itself is excluded. Index zero and a missing result must be distinguished from null.
  • Every bitstring is at most 128 characters and contains only literal zero and one.
  • All declared input fields are required and unexpected top-level fields are rejected. Numbers must be finite; lists are limited to 128 entries and ordinary text fields to 8,192 UTF-16 code units, with tighter limits where stated.
  • JSON text inputs must parse within bounded nesting and size limits. Numeric outputs outside the safe finite range are rejected; large exact integer results use decimal strings. Indexes and half-open spans are zero-based unless a rank is explicitly described as one-based.

Alternative or Complementary methods

Choose a packed-integer or textual-bit representation deliberately before combining operations. Preserve the documented index direction, width and exclusive boundaries; do not substitute a rank query for select.

References

  1. Tool behavior and example: Bit String Previous Set Position — tool.io

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