# Conversion of a number from Single precision floating point representation to a Half precision floating point [closed]

I have a code where I have to work on Half precision floating point representation numbers. To achieve that I have created my own C++ class fp16 with all operators(arithmetic logical, relational) related to this type overloaded with my custom functions, while using a Single precision floating point number with a Half precision floating point number.

Half precision floating point = 1 Sign bit , 5 exponent bits , 10 significand bits = 16 bit

Single precision floating point = 1 Sign bit, 8 exponent bits, 23 significand bits = 32 bits

So what I do to convert from a Single precision floating point number to a Half precision floating point number:-

For significand bits - I use truncation i.e. loose 13 bits from the 32 bits to get 10 bits significand for half precision float.

What should I do to handle the exponent bits. How do I go from 8 exponent bits to 5 exponent bits?

Any good reading material would help.

## closed as off topic by Péter Török, Walter, yannis, user8 Jan 12 '12 at 11:47

Questions on Software Engineering Stack Exchange are expected to relate to software engineering within the scope defined by the community. Consider editing the question or leaving comments for improvement if you believe the question can be reworded to fit within the scope. Read more about reopening questions here. If this question can be reworded to fit the rules in the help center, please edit the question.

• Why are you doing this? – Martin York Sep 15 '11 at 16:17

Convert to `+INF` or `-INF` as appropriate. The result certainly should be numerical, `NaN` is logically wrong.