Convergent rounding chooses the rounding direction for midpoints as either toward odd or even numbers, rather than toward positive or negative ( This Figure ). This can be advantageous, as the balance of rounding direction decisions for midpoints is based on the probability of occurrence of odd or even numbers, which is generally equal in most scenarios, even when the mean of the input signal moves away from zero. The function is achieved by adding a rounding constant, as in other modes, but then checking for a particular pattern on the LSBs to detect a midpoint and forcing the LSB to be either zero (for round to even) or one (for round to odd) when a midpoint occurs.
