As far as I know flaoting numbers(for single precision) are stored in memory as follows:
- sign s (denoting whether it’s positive or negative) – 1 bit
- mantissa m (essentially the digits of your number – 24 bits
- exponent e – 8 bits
For example:
3.14159
would be represented like this:
0 10000100 11001001000011111100111
^ ^ ^
| | |
| | +--- significand = 0.7853975
| |
| +------------------- exponent = 4
|
+------------------------- sign = 0 (positive)
Do note that .
is not stored at all in memory.
As a good reference read What Every Computer Scientist Should Know About Floating-Point Arithmetic and Floating Point
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solved how does floating point numbers get stored in memory [closed]