Generalized look-ahead number conversion from signed-digit to complement representation with optical logic operations

作者: Feng Qian , Guoqiang Li

DOI: 10.1117/12.449664

关键词:

摘要: In this paper a generalized look-ahead logic algorithm for number conversion from signed-digit to its complement representation is developed. By properly encoding the signed digits, all operations are performed by binary logic, and unified logical expressions can be obtained modified-signed-digit (MSD) 2's complement, trinary (TSD) 3's quaternary (QSD) 4's complement. For optical implementation, parallel array module using electron-trapping device employed, which suitable realizing complex functions in form of sum-of-product. The proposed architecture compatible with general-purpose optoelectronic computing system.© (2001) COPYRIGHT SPIE--The International Society Optical Engineering. Downloading abstract permitted personal use only.

参考文章(10)
Feng Qian, Guoqiang Li, Hao Ruan, Hongmei Jing, Liren Liu, Two-step digit-set-restricted modified signed-digit addition–subtraction algorithm and its optoelectronic implementation Applied Optics. ,vol. 38, pp. 5621- 5630 ,(1999) , 10.1364/AO.38.005621
Abdallah K. Cherri, Mohammad A. Karim, Modified-signed digit arithmetic using an efficient symbolic substitution. Applied Optics. ,vol. 27, pp. 3824- 3827 ,(1988) , 10.1364/AO.27.003824
A. A. S. Awwal, M. N. Islam, M. A. Karim, Modified signed-digit trinary arithmetic by using optical symbolic substitution Applied Optics. ,vol. 31, pp. 1687- 1694 ,(1992) , 10.1364/AO.31.001687
Feng Qian, Guoqiang Li, Mohammad S Alam, Optoelectronic quotient-selected modified signed-digit division Optical Engineering. ,vol. 40, pp. 275- 282 ,(2001) , 10.1117/1.1336524
Yao Li, Jianxin Zhu, George Eichmann, Optical on-the-fly conversion of a modified signed digit into two's complement binary number representation. Optics Letters. ,vol. 13, pp. 294- 296 ,(1988) , 10.1364/OL.13.000294
K.W. Wong, L.M. Cheng, Optical modified signed-digit addition based on binary logical operations Optics and Laser Technology. ,vol. 26, pp. 213- 217 ,(1994) , 10.1016/0030-3992(94)90104-X
Barry L. Drake, Richard P. Bocker, Mark E. Lasher, Richard H. Patterson, William J. Miceli, Photonic computing using the modified signed-digit number representation Optical Engineering. ,vol. 25, pp. 250138- ,(1986) , 10.1117/12.7973778
Mohammad A. Karim, Programmable modified-signed-digit addition module based on binary logic gates Optical Engineering. ,vol. 38, pp. 456- 461 ,(1999) , 10.1117/1.602122
Kai Hwang, Ahmed Louri, Optical Multiplication And Division Using Modified-Signed-Digit Symbolic Substitution Optical Engineering. ,vol. 28, pp. 364- 372 ,(1989) , 10.1117/12.7976963