Floating Point Converter
IEEE 754 32-Bit

Click to toggle the bits or change decimal, binary, octal or hex values below!

±ExponentMantissa
Values
Interpretation and Normalization
Subtract 127Divide by 223 and add 1
Computation of actual value

Convert to/from:

 

Special cases:

  1. If all exponent bits are 0, a special underflow rule applies.
  2. If all exponent bits are 1 and all mantissa bits are 0, the result is infinity.
  3. If all exponent bits are 1 and at least one mantissa bit is 1, the result is Not a Number (NaN).