Floating Point
The floating point standard is... complicated. These links might help. It's likely not worth your time because someone else will handle it. Only processor manufacturers really have the power to handle it.
[IEEE Standard 754 Floating Point Numbers]
[bfloat16 floating-point format - Wikipedia]
[IEEE Standard 754 Floating Point Numbers - GeeksforGeeks]
[On the Systematic Creation of Faithfully Rounded Truncated Multipliers and ]
[2020 Conference for Computer Arithmetic]
[https://en.wikipedia.org/wiki/Bfloat16_floating-point_format]
[On the systematic creation of faithfully rounded truncated multipliers and arrays]