Introduction to Arithmetic for Digital Systems Designers
Introduction to Arithmetic for Digital Systems Designers
Timing optimization by bit-level arithmetic transformations
EURO-DAC '95/EURO-VHDL '95 Proceedings of the conference on European design automation
A Comparison of Three Rounding Algorithms for IEEE Floating-Point Multiplication
IEEE Transactions on Computers - Special issue on computer arithmetic
Fast Combinatorial RNS Processors for DSP Applications
IEEE Transactions on Computers
Integration, the VLSI Journal
IEEE Transactions on Very Large Scale Integration (VLSI) Systems
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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.