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Natural Computing

Erschienen in:

01.12.2010

Binary to modified trinary number system conversion and vice-versa for optical super computing

verfasst von: Amal K. Ghosh, Amitabha Basuray

Erschienen in: Natural Computing | Ausgabe 4/2010

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Abstract

With the demand of the super fast processing and handling of huge volume of data the scientific workers in the field of computer and optics felt the importance of optical computation with multivalued logic. One of the most important number system suitable for optical computation with multivalued logic is the modified trinary number (MTN) system because of its carry and borrow-free operations. At this juncture to avail the advantages of both the Binary and MTN system the conversion from one system to another is most important. In this paper we have communicated the conversion from Binary to MTN and vice-versa including the mixed MTN with details of optoelectronic circuit implementation.

Vorheriger Artikel All-optical binary flip-flop with the help of Terahertz Optical Asymmetric Demultiplexer

Nächster Artikel A relation by palindromic subwords

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Alam MS, Jemili K, Karim MA (1994) Optical higher-order quaternary signed-digit arithmetic. Opt Eng 33:3419–3426CrossRef

Avizienis A (1961) Signed-digit number representation for fast parallel arithmetic. IRE Trans Electron Comput EC-10:389–400

Basuray A, Mukhopadhyay S, Ghosh HK, Dutta AK (1991) A tristate optical logic system. Opt Commun 85:167–170CrossRef

Casasent D, Woodford P (1994) Symbolic substitution modified signed-digit optical adder. Appl Opt 33(8):1498–1506CrossRef

Caulfield HJ (1998) Perspectives of optical computing. Computer 31(2):22–25CrossRef

Cherri AK (1999) Signed-digit arithmetic for optical computing digit grouping and pixel assignment for spatial encoding. Opt Eng 38:422–431CrossRef

Cherri AK, Alam MS (2001) Algorithms for optoelectronic implementation of modified signed-digit division, square-root, logarithmic and exponential functions. Appl Opt 40(8):1236–1243CrossRef

Cherri AK, Kamal HA (2004) Efficient optical negabinary modified signed-digit arithmetic: one-step addition and subtraction algorithms. Opt Eng 43:420–425CrossRef

Cherri AK, Habib MK, Alam MS (1997) Efficient implementation of arithmetic units based on polarization-encoded optical shadow casting. Opt Eng 36:94–101CrossRef

Datta AK, Basuray A, Mukhopadhyay S (1989) Arithmetic operations in optical computations using a modified trinary number system. Opt Lett 14:426–428CrossRef

De Biase GA, Massini A (1994) High efficiency redundant binary number representations for parallel arithmetic on optical computers. Opt Laser Technol 26:219–224CrossRef

Dornajafi M, Watkins SE, Cooper B, Bales MR (2008) Performance of a quaternary logic design. IEEE region 5 conference, 17–20 April. pp 1–6

Drake BL, Bocker RP, Lasher ME, Patterson RH, Miceli WJ (1986) Photonic computing using the modified-signed-digit number representation. Opt Eng 25:38–43

El-Bawab TS (2006) (editor and principal author) Optical switching. Springer, pp 419–426

Fyath RS, Alsaffar AAW, Alam MS (2004) Nonrecoded trinary signed-digit multiplication based on digit grouping and pixel assignment. Opt Commun 230(1–3):35–44CrossRef

Ghosh AK, Basuray A (1990) Trinary optical logic processors using shadow casting with polarized light. Opt Commun 79(1,2):11–14CrossRef

Ghosh AK, Basuray A (2008) Trinary flip-flops using Savart plate and spatial light modulator for optical computation in multivalued logic. Optoelectron Lett 4(6):443–446. [ISSN 1673-1905 (Print) 1993-5013 (Online)]

Ghosh AK, Pal Choudhury P, Basuray A (2007) Modified trinary optical logic gates and their applications in optical computation. In: Presented in the third international conference on CISSE 2007, IEEE, University of Bridgeport, 3-12 December 2007. Published in the proceeding on Innovations and Advanced Techniques in Systems, Computing Sciences and Software. Springer, pp 87–92

Ghosh AK, Singha Roy S, Mandal S, Basuray A (2009) Trinary encoder, decoder, multiplexer and demultiplexer using Savart plate and spatial light modulator. In: Presented in the fourth international on-line conference on CISSE 2008, IEEE, University of Bridgeport, 5–13 December 2008. Published in the proceeding on Innovations and Advanced Techniques in Systems, Computing Sciences and Software. Springer

Haynes LS, Lau RL, Siewiorrek DP, Mizell DW (1982) A survey of highly parallel computing. Computer 15:9–24CrossRef

Hossain MM, Ahmed JU, Awwal AAS, Michel HE (1998) Optical implementation of an efficient modified signed-digit trinary addition. Opt Laser Technol 30(1):49–55CrossRef

Huang A, Tsunoda Y, Goodmann JW, Ishihara S (1979) Optical computation using residue arithmetic. Appl Opt 18(2):149–162CrossRef

Karim MA, Awwal AAS (2003) Optical computing: an introduction. Wiley, New York

McAulay AD (1991) Optical computer architectures: the application of optical concepts to next generation computers. Wiley, New York

Qian F, Li G, Alam MS (2001) Optoelectronic quotient-selected modified signed-digit division. Opt Eng 40:275–282CrossRef

Rine DC (ed) (1977) Computer science and multiple-valued logic theory and applications. North-Holland, Amsterdam, The Netherlands MATH

Smith KC (1981) The prospects for multivalued logic: a technology and applications View. IEEE Trans Comput C-30(9):619–634CrossRef

Temel T, Morgul A, Aydin N (2004) A novel signed higher-radix full-adder algorithm and implementation with current-mode multi-valued logic circuits. Euromicro symposium on digital system design. pp 80–87, DSD

Wu Y, Zhang Z, Liu L, Wang Z (1993) Arithmetic operation using binary encoding modified-signed-digit system. Opt Commun 100:53–58CrossRef

Titel: Binary to modified trinary number system conversion and vice-versa for optical super computing
verfasst von: Amal K. Ghosh
Amitabha Basuray
Publikationsdatum: 01.12.2010
Verlag: Springer Netherlands
Erschienen in: Natural Computing / Ausgabe 4/2010
Print ISSN: 1567-7818
Elektronische ISSN: 1572-9796
DOI: https://doi.org/10.1007/s11047-009-9166-4

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