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Floating-Point Bit Pattern Calculator — result sheet
Inspect the sign, exponent, fraction, hexadecimal bit pattern, and stored value for an IEEE-style binary32 or binary64 number.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: A finite binary floating-point value is represented by sign, biased exponent, and fraction fields; binary32 uses 1/8/23 bits and binary64 uses 1/11/52 bits.
The handler writes the input into a binary32 or binary64 DataView and reads the exact bits back. That exposes the representation used by the selected format, including the stored-value difference for binary32. It does not pretend that a displayed decimal contains more measurement precision than the original input.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Finite input value — minimum -1.0E+308; maximum 1.0E+308
- Format — 2 choices
Worked example
| Input | Value |
|---|---|
| Finite input value | 0.1 |
| Format | float32 |
The binary32 pattern is 0x3DCCCCCD; the stored value is approximately 0.10000000149.
Assumptions and limits
- The input is finite and the selected format can represent it without overflow to infinity.
- The layout follows the familiar IEEE 754 binary32 or binary64 field widths and uses the host's standard JavaScript DataView encoding.
- The reported difference is stored value minus the JavaScript input value; it is not a full decimal-rounding error proof for an unknown real-world quantity.
- NaN payloads, infinities, arbitrary precision, decimal floating-point, and language-specific serialization are not modeled.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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