Pseudorandom rounding for truncated multipliers
Norimasa Yoshida, Eiichi Goto, S. Ichikawa · IEEE Transactions on Computers · 1991
An economical, unbiased, overflow-free rounding scheme for multiplication of multiple-precision floating-point numbers is proposed. The scheme, called pseudorandom rounding, saves multiplications of lower bits and makes use of statistical properties of bits around the least significant bit of products in order to compensate for truncated parts. The method is deterministic, and inputs are commutable. The validity of the rounding is verified by numerical simulation.>