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When you calculate 0.5 to the power of 1075 in Python or JavaScript (0.5**1075), the result is 0.0. This happens because 0.5**1075 is an extremely small number—much smaller than what a standard floating-point number can represent. In both Python and JavaScript (which both use IEEE 754 double-precision numbers), values smaller than about 2**-1074 "underflow" and are represented as zero.


- The smallest positive normalized number is about 2**-1022, and the smallest possible positive subnormal value is 2**-1074.
- 2**-1075 and numbers smaller cannot be stored, so the result is 0.*—there is no way to distinguish between zero and smaller numbers due to this limitation of floating-point arithmetic.

1 month ago | [YT] | 13