Benford Law Analyzer
Count first significant digits and compare them with Benford expected counts.
Open toolCount terminal digits and round last-place multiples at an explicitly stated measurement precision. Provide Raw decimal observations, Recorded decimal precision to compute results directly in your browser. Strings are preserved until exact scaling to the supplied decimal precision. Inputs with more decimal places are rejected; shorter decimals are padded with zeros. Counts refer to absolute terminal digits and multiples of 5 or 10 last-place units. Exact BigInt arithmetic is used for integer steps.
Enter the inputs, then select Calculate.
Result will appear here
The Digit Preference Analyzer evaluates Raw decimal observations, Recorded decimal precision in client-side JavaScript using the deterministic rule below and updates the output panel immediately without uploading data to a server.
Count terminal digits and round last-place multiples at an explicitly stated measurement precision.
Strings are preserved until exact scaling to the supplied decimal precision. Inputs with more decimal places are rejected; shorter decimals are padded with zeros. Counts refer to absolute terminal digits and multiples of 5 or 10 last-place units. Exact BigInt arithmetic is used for integer steps.
Review the input parameters, allowed value ranges, and worked reference cases for the Digit Preference Analyzer below before running your calculation.
| Parameter / Scenario | Default / Sample Value | Rule or Allowed Range | Output / Usage Note |
|---|---|---|---|
| Input: Raw decimal observations | 12.0,12.5,13.0,13.2 | Ordinary decimal strings, no exponent notation; at most 1,000 observations and 100 digits per integer/fraction component. | Required workspace parameter |
| Input: Recorded decimal precision | 1 | Range: 0 to 100 | Required workspace parameter |
| Worked Case 1: Baseline run (Raw decimal observations = 12.0,12.5,13.0,) | Preloaded / test values | Count terminal digits and round last-place multiples at an explicitly stated measurement precision | Raw decimal observations = 12.0,12.5,13.0,13.2; Recorded decimal precision = 1. Output: Terminal-digit counts: 0: 2, 1: 0, 2: 1, 3: 0, 4: 0, 5: 1, 6: 0, 7: 0, 8: 0, 9: 0; Multiples of 5 last-place units: 3; Multiples of 10 last-place units: 2; Measurement precision: 1 decimal places. |
| Worked Case 2: Comparison scenario (end digit preference) | Preloaded / test values | Count terminal digits and round last-place multiples at an explicitly stated measurement precision | Raw decimal observations = 10,15,21,22,30; Recorded decimal precision = 0. Output: Terminal-digit counts: 0: 2, 1: 1, 2: 1, 3: 0, 4: 0, 5: 1, 6: 0, 7: 0, 8: 0, 9: 0; Multiples of 5 last-place units: 3; Multiples of 10 last-place units: 2; Measurement precision: 0 decimal places. |
Follow these three steps to configure Raw decimal observations, Recorded decimal precision, verify unit and boundary rules, and export your Digit Preference Analyzer output.
Start with raw decimal observations. Ordinary decimal strings, no exponent notation; at most 1,000 observations and 100 digits per integer/fraction component.
Strings are preserved until exact scaling to the supplied decimal precision. Inputs with more decimal places are rejected; shorter decimals are padded with zeros. Counts refer to absolute terminal digits and multiples of 5 or 10 last-place units. Exact BigInt arithmetic is used for integer steps.
Select Calculate, check the labelled result, then use Copy result or Download result.txt.
These concrete scenarios illustrate how the Digit Preference Analyzer processes baseline inputs, comparison checks, and boundary constraints.
Raw decimal observations = 12.0,12.5,13.0,13.2; Recorded decimal precision = 1. Output: Terminal-digit counts: 0: 2, 1: 0, 2: 1, 3: 0, 4: 0, 5: 1, 6: 0, 7: 0, 8: 0, 9: 0; Multiples of 5 last-place units: 3; Multiples of 10 last-place units: 2; Measurement precision: 1 decimal places.
Raw decimal observations = 10,15,21,22,30; Recorded decimal precision = 0. Output: Terminal-digit counts: 0: 2, 1: 1, 2: 1, 3: 0, 4: 0, 5: 1, 6: 0, 7: 0, 8: 0, 9: 0; Multiples of 5 last-place units: 3; Multiples of 10 last-place units: 2; Measurement precision: 0 decimal places.
When solving for 'digit preference analyzer', verify that Raw decimal observations, Recorded decimal precision use consistent units and stay within the documented scope: Strings are preserved until exact scaling to the supplied decimal precision. Inputs with more decimal places are rejected; shorter decimals are padded with zeros. Counts refer to absolute terminal digits and multiples of 5 or 10 last-place units. Exact BigInt arithmetic is used for integer steps.
The output panel reports the exact result derived from Raw decimal observations, Recorded decimal precision alongside any unit or formatting notes.
Every calculation follows the rule: Count terminal digits and round last-place multiples at an explicitly stated measurement precision. Because JavaScript uses IEEE 754 double-precision floating-point arithmetic, numeric outputs display up to 12 significant digits where applicable.
Always cross-check the displayed result against the scope note (Strings are preserved until exact scaling to the supplied decimal precision. Inputs with more decimal places are rejected; shorter decimals are padded with zeros. Counts refer to absolute terminal digits and multiples of 5 or 10 last-place units. Exact BigInt arithmetic is used for integer steps) before applying the value to production specifications, financial models, or lab records.
Review these boundary constraints and validation rules before relying on the Digit Preference Analyzer output.
Operational scope: Strings are preserved until exact scaling to the supplied decimal precision. Inputs with more decimal places are rejected; shorter decimals are padded with zeros. Counts refer to absolute terminal digits and multiples of 5 or 10 last-place units. Exact BigInt arithmetic is used for integer steps. Inputs that violate minimum/maximum bounds or required format rules are rejected with a clear diagnostic prompt.
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Open toolAnswers about using Digit Preference Analyzer and understanding its results.
The Digit Preference Analyzer applies the rule: Count terminal digits and round last-place multiples at an explicitly stated measurement precision. Enter Raw decimal observations, Recorded decimal precision into the workspace and the tool computes the exact output in your browser.
Yes. Provide Raw decimal observations, Recorded decimal precision using the documented units and format shown in the quick reference table above. Preloaded default values let you test the workflow immediately.
Strings are preserved until exact scaling to the supplied decimal precision. Inputs with more decimal places are rejected; shorter decimals are padded with zeros. Counts refer to absolute terminal digits and multiples of 5 or 10 last-place units. Exact BigInt arithmetic is used for integer steps. Confirm that your inputs fall within the allowed ranges before exporting the result.
Yes. All calculations for the Digit Preference Analyzer execute 100% locally in your browser's JavaScript runtime. No inputs or results are uploaded to any external server.
Choose another tool for your next calculation, conversion, or text task.