Title :
Pseudorandom rounding for truncated multipliers
Author :
Yoshida, N. ; Goto, E. ; Ichikawa, S.
Author_Institution :
Dept. of Inf. Sci., Tokyo Univ., Japan
fDate :
9/1/1991 12:00:00 AM
Abstract :
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
Keywords :
digital arithmetic; floating-point numbers; multiple-precision; multiplications; pseudorandom rounding; rounding; truncated multipliers; Chemicals; Computer architecture; Information science; Laboratories; Large scale integration; Logic; Magnetic flux; Numerical simulation; Quantum computing;
Journal_Title :
Computers, IEEE Transactions on
