Source: https://guthlabs.ai/docs/instruments/ieee-754-float-inspector/implementation/

instrument implementation / implementation-contract

# IEEE-754 Float Inspector implementation

A source-bound implementation contract for IEEE-754 Float Inspector; deployment and executable qualification remain separate.

Status: **VERIFIED_CLEAN**Lifecycle: **implementation-contract**

## Binding contract

This record describes what an executable surface must bind and validate. It does not claim that a public calculator, package, or production route is deployed.

**Record owner**: Guth Instruments

**Lifecycle**: verified-clean

**Evidence ID**: t2-016

**Effect**: Computation or source lookup only

## Input and validation requirements

The stated normal-number formula is invalid for zero, subnormals, infinities, and NaNs, and raw hexadecimal input is ambiguous without an explicit word-versus-byte-order convention.

## Required corrections

No binding erratum is attached to this unique-name record. Implementers must still preserve the declared units, domain, and failure behavior.

## Inspectable interface fixture

The sample below is evidence for interface and validation tests, not a production implementation.

````
{
  "inputs": {
    "decimal": 1.5,
    "precision": 64
  },
  "expected_outputs": {
    "sign_bits": "0",
    "exponent_bits": "01111111111",
    "mantissa_bits": "1000000000000000000000000000000000000000000000000000",
    "raw_hex": "0x3FF8000000000000",
    "decimal_reconstruction": 1.5,
    "ulp_error": 0
  },
  "working": "1.5 = 1 + 1/2 = 1.1₂. The unbiased exponent is 0, so E=0+1023=1023=01111111111₂. Sign s=0. The fraction field is 1000...000₂, or 0x8000000000000. Reconstruct: (+1)·(1+1/2)·2^0 = 1.5. The decimal input is exactly representable, so rounding error=1.5-1.5=0 and ULP error=0."
}
````

## Other records

[01**Overview**](<https://guthlabs.ai/docs/instruments/ieee-754-float-inspector/>)[02**Mechanism**](<https://guthlabs.ai/docs/instruments/ieee-754-float-inspector/mechanism/>)[04**Qualification**](<https://guthlabs.ai/docs/instruments/ieee-754-float-inspector/qualification/>)

## Sources and evidence

These pointers bind the page to evidence. They do not grant authority or collapse verification into deployment.

- `VERIFIED_LEDGER.json`

- `evidence-tranche2/tranche2-results.json`