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Altera_Forum
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9 years ago

How to square a fixed point number?

Assuming I have a 16 bit fixed point number that needs to be squared, how should this be implemented? The number format is Q2.14. Squaring it shall produce a result that is 32 bits instead a...
Altera_Forum's avatar
Altera_Forum
Icon for Honored Contributor rankHonored Contributor
9 years ago

--- Quote Start ---

just multiply 16 bits x 16 bits = 32 bits

If you are asked to also scale down then truncate LSBs

--- Quote End ---

Truncating always floors the values (ie. rounds down).

If you need to round to nearest, you add 1 to the highest LSB you are going to discard, then discard the LSBs.