IEEE-754 Calculator
IEEE-754 Floating Point Converter
Convert between decimal values and the 32-bit IEEE-754 single-precision representation used by modern CPUs. Toggle bits directly or enter a decimal, binary, or hexadecimal value.
Converter
Sign
Exponent
Mantissa
Value
+1
2^0
1
Encoded as
0
01111111
00000000000000000000000
Binary bits
Click any bit to flip it. The decimal, binary, and hex fields update immediately.
Notes
- This tool uses 32-bit single precision: 1 sign bit, 8 exponent bits, and 23 stored mantissa bits.
- The exponent is biased by 127. Normal values use an implicit leading mantissa bit of 1.
- Subnormal values use exponent -126 and do not use the implicit leading 1.
- Special values include +0, -0, Infinity, -Infinity, and NaN.