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Floating Point (IEEE-754)

Result

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Floating Point (IEEE-754)

View and convert IEEE-754 floating point representations (32/64-bit).

Example: 3.14

Definition: Shows IEEE-754 components (sign, exponent, mantissa) and converts between hex/float formats for 32-bit and 64-bit values.

Conversion formula

IEEE-754 (single precision, 32-bit):
Layout: 1 sign bit | 8 exponent bits | 23 fraction (mantissa) bits

Value = (-1)^sign × (1.fraction) × 2^(exponent - 127)
Exponent all-zeros/ones handle denormals, zero, Inf and NaN.

Example: 0 10000010 10100000000000000000000 → sign=0, exponent=130, fraction=1.3125 → 1.3125 × 2^(130-127)=10.5