Float Converter
Convert between decimal floats and IEEE 754 binary format.
Enter a decimal number to see IEEE 754 single and double precision representation.
IEEE 754 Format
- Float32 (32-bit): 1 sign bit + 8 exponent bits + 23 mantissa bits, bias 127.
- Float64 (64-bit): 1 sign bit + 11 exponent bits + 52 mantissa bits, bias 1023.
- Sign bit: 0 for positive, 1 for negative.
- Exponent: actual exponent = stored value - bias.
- Mantissa: stores fractional part with implied leading 1.
Usage
Features
Supports bidirectional conversion between decimal and IEEE 754 single/double precision binary, with detailed breakdown of sign, exponent, mantissa and hex representation.
Steps
Select conversion direction → Enter decimal or IEEE 754 binary/hex → Select precision → Click "Convert" to view result
Notes
Float32 binary requires 32 bits, Float64 requires 64 bits; hex input must start with 0x.