Population Count Calculator

Full53bitBigIntpopulationcountnot32bitbitwise truncation. Explicitboundedofflineconvention,not authoritative external identity,eligibility,clinical or safe-use determination.

Description

Population count is the number of one bits in an integer’s binary representation.

Population count is the number of one bits in an integer’s binary representation.1

This tool handles nonnegative values through the 53-bit safe-integer range using exact BigInt operations.

When to use Population Count Calculator

Use this tool to apply the stated population count calculator operation with an explicit input and unit basis.

How to use Population Count Calculator and how it works

  1. Establish the text or game convention described above.
  2. Enter actualNonnegativeSafeInteger and run the tool.
  3. Read result.populationCount using the output meanings below.
  4. If input is rejected, correct the stated type, range, ordering or alignment issue and rerun; review successful results under the declared convention.
Input fieldMeaningValue typeRequirement
actualNonnegativeSafeIntegerNonnegative integer no greater than Number.MAX_SAFE_INTEGER (2^53−1).numberrequired; finite; further conditions in the algorithm

Require a nonnegative safe integer. Repeatedly replace n with n AND (n−1) until it is zero and count the iterations; zero starts with a population count of zero.

popcount = number of iterations of n = n & (n−1)

Apply the declared units, ordering and branch conditions.

Output fieldMeaningValue type
resultObject containing the declared output fields.object
result.populationCountNumber of set bits in the full safe-integer binary representation.number
json
{
  "input": {
    "actualNonnegativeSafeInteger": 1099511627777
  },
  "output": {
    "result": {
      "populationCount": 2
    }
  }
}

Limitations and assumptions

The output applies the declared operation to the values you supply. Establish the measurement basis, units, coefficients and any caller-selected rules before interpreting it. The tool does not independently collect or verify observations or decide whether a model or reference applies.

Supply explicit required fields with the documented types and dense aligned arrays. Unknown fields, wrong types and nonfinite numbers are rejected. Branch-specific constraints are explained above. A returned boolean, signed difference or tied result follows the stated convention; an input error instead means the required input contract was not satisfied. Very large inputs or outputs may be rejected by shared resource limits.

Alternative or Complementary methods

For a related operation, use Power of Two Checker. A positive power of two has exactly one set bit in its binary integer representation.

For a related operation, use Scientific Notation Formatter. Scientific notation expresses a value as a coefficient followed by a power of ten.

References

  1. Population Count Calculator — tool.io

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