'Overturned-Stairs' Adder Trees and Multiplier Design

  • Authors:
  • Zhi-Jian (Alex) Mou;Francis Jutand

  • Affiliations:
  • -;-

  • Venue:
  • IEEE Transactions on Computers - Special issue on computer arithmetic
  • Year:
  • 1992

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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.