🔣IEEE 754 Converter

Free IEEE 754 Converter

This IEEE 754 converter shows exactly how a decimal number is stored in memory as a binary32 (single-precision) or binary64 (double-precision) floating-point value. It breaks the result into its three parts — sign bit, exponent, and mantissa (fraction) — and shows the hexadecimal representation of the raw bits.

Binary32 uses 1 sign bit, 8 exponent bits, and 23 mantissa bits; binary64 uses 1 sign bit, 11 exponent bits, and 52 mantissa bits. Many decimal values — like 0.1 — can't be represented exactly in binary floating-point, which is why floating-point rounding errors happen.

Useful for computer science coursework, debugging floating-point precision issues, and low-level programming. Free, runs entirely in your browser.