max float represented in IEEE 754
computer-science, floating-point, ieee-754
Solution
The exponent 11111111b is reserved for infinities and NaNs, so your number cannot be represented.
The greatest value that can be represented in single precision, approximately 3.4028235×1038, is actually 1.11111111111111111111111b×211111110b-127.
See also http://en.wikipedia.org/wiki/Single-precision_floating-point_format
Problem
I am wondering if the max float represented in IEEE 754 is: `(1.11111111111111111111111)_b*2^[(11111111)_b-127]` Here `_b` means binary representation. But that value is `3.403201383*10^38`, which is different from `3.402823669*10^38`, which is `(1.0)_b*2^[(11111111)_b-127]` and given by for example `c++` `<limits>`. Isn't `(1.11111111111111111111111)_b*2^[(11111111)_b-127]` representable and larger in the framework? Does anybody know why? Thank you.