Unified negabinary symbolic arithmetic for addition and subtraction with polarization-encoded optical shadow casting Article

Li, G, Liu, L, Hua, J et al. (1997). Unified negabinary symbolic arithmetic for addition and subtraction with polarization-encoded optical shadow casting . Optics and Laser Technology, 29(4), 221-227. 10.1016/S0030-3992(96)00066-7

cited authors

  • Li, G; Liu, L; Hua, J; Shao, L

abstract

  • Conventional algorithms process addition and subtraction in different ways. In this paper, by introducing bipolar carries, a unified negabinary symbolic arithmetic for the two operations can be derived, using only the same six substitution rules. Based on the polarization-encoded optical shadow-casting technique, the encoding and decoding patterns for half-addition, half-subtraction and unified arithmetic are designed, with the fixed LED pattern and separate and simultaneous generation of the multi-outputs. The architecture is simple, programmable, cost-efficient, and the addition and subtraction of multiple pairs of bipolar numbers can be handled in parallel in the same manner. © 1997 Elsevier Science Ltd.

authors

publication date

  • January 1, 1997

published in

Digital Object Identifier (DOI)

start page

  • 221

end page

  • 227

volume

  • 29

issue

  • 4