Unified negabinary symbolic arithmetic for addition and subtraction with polarization-encoded optical shadow casting
✍ Scribed by Guoqiang Li; Liren Liu; Jianwen Hua; Lan Shao
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 804 KB
- Volume
- 29
- Category
- Article
- ISSN
- 0030-3992
No coin nor oath required. For personal study only.
✦ Synopsis
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.