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'Overturned-Stairs' Adder Trees and Multiplier Design
August 1992 (vol. 41 no. 8)
pp. 940-948

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.

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Index Terms:
VLSI circuit layout; Wallace trees; multioperand adders; Overturned-Stairs trees; 2's complement parallel multiplier; adders; digital arithmetic; logic design; multiplying circuits; trees (mathematics); VLSI.
Z.-J. Mou, F. Jutand, "'Overturned-Stairs' Adder Trees and Multiplier Design," IEEE Transactions on Computers, vol. 41, no. 8, pp. 940-948, Aug. 1992, doi:10.1109/12.156536
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