The topic of most-significant-digit-first (msd-first) serial arithmetic has been discussed in the literature of computer arithmetic for many years starting with the paper of Avizienis in 1961 (). The basic idea can also be applied to the design of parallel arithmetic cells for avoiding ripple-carry propagation. It relies on the use of a redundant format number representation to allow serial operations to proceed in a most-significant-bit first mode. The particular number representation used is also called signed-digit number representation and computation using signed-digit number representations and msd-first serial arithmetic has come to be known as online arithmetic.
Unable to display preview. Download preview PDF.