When you convert the floating-point value to a fixed-point value, you should change the value. It is rounding.
For example, there is a value "1.5".
fixed point (1.5) is 1 or 2, which one is the right value?
There are many rounding methods.
https://en.wikipedia.org/wiki/Rounding
1. normal round: Round_half_away_from_zero
2. bankers' round: Round half to even or http://www.xbeat.net/vbspeed/i_BankersRounding.htm (Gaussian rounding, round to even, bankers' rounding)
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