Title :
`Overturned-stairs´ adder trees and multiplier design
Author :
Mou, Zhi-Jian Alex ; Jutand, Francis
Author_Institution :
Dept. of Electr. Eng., Stanford Univ., CA, USA
fDate :
8/1/1992 12:00:00 AM
Abstract :
Wallace trees are the theoretically fastest multioperand adders. However, their complex interconnections do not permit practical implementations. A family of Overturned-Stairs trees which achieve the same speed performance as equivalent Wallace trees in many cases, but require a simple and regular interconnection scheme is introduced. These trees can be designed in a systematic way and laid out regularly in a VLSI circuit. A comparison is made between various trees to provide useful indexes for a practical design. The design of a 16×16 2´s complement parallel multiplier using Overturned-Stairs trees is studied as an illustration
Keywords :
VLSI; adders; digital arithmetic; logic design; multiplying circuits; trees (mathematics); 2´s complement parallel multiplier; Overturned-Stairs trees; VLSI circuit layout; Wallace trees; multioperand adders; Adders; Arithmetic; Circuits and systems; Counting circuits; Digital filters; Integrated circuit interconnections; Operating systems; Very large scale integration; Wiring;
Journal_Title :
Computers, IEEE Transactions on