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Evolutionary Design of Generic Combinational Multipliers Using Development

  • Michal Bidlo
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4684)

Abstract

Combinational multipliers represent a class of circuits that is usually considered to be hard to design by means of the evolutionary techniques. However, experiments conducted under the previous research demonstrated (1) a suitability of an instruction-based developmental model to design generic multiplier structures using a parametric approach, (2) a possibility of the development of irregular structures by introducing an environment which is considered as an external control of the developmental process – inspired by the structures of conventional multipliers and (3) an adaptation of the developing structures to the different environments by utilizing the properties of the building blocks. These experiments have represented the first case when generic multipliers were designed using an evolutionary algorithm combined with the development. The goal of this paper is to present an improved developmental model working with the simplified building blocks based on the concept of conventional generic multipliers, in particular, adders and basic AND gates. We show that this approach allows us to design generic multiplier structures which exhibit better delay in comparison with the classic multipliers, where adder represents a basic component.

Keywords

Digital Circuit Primary Input Full Adder Evolutionary Design Arithmetic Circuit 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    Miller, J.F., Thomson, P.: Cartesian genetic programming. In: Poli, R., Banzhaf, W., Langdon, W.B., Miller, J., Nordin, P., Fogarty, T.C. (eds.) EuroGP 2000. LNCS, vol. 1802, pp. 121–132. Springer, Heidelberg (2000)Google Scholar
  2. 2.
    Miller, J.F., Job, D.: Principles in the evolutionary design of digital circuits – part I. Genetic Programming and Evolvable Machines 1(1), 8–35 (2000)CrossRefGoogle Scholar
  3. 3.
    Miller, J.F., Job, D.: Principles in the evolutionary design of digital circuits – part II. Genetic Programming and Evolvable Machines 3(2), 259–288 (2000)CrossRefGoogle Scholar
  4. 4.
    Vassilev, V., Job, D., Miller, J.: Towards the automatic design of more efficient digital circuits. In: Proc of the Second NASA/DoD Workshop on Evolvable Hardware, Palo Alto, CA, pp. 151–160. IEEE Computer Society Press, Los Alamitos (2000)CrossRefGoogle Scholar
  5. 5.
    Vassilev, V., Miller, J.F.: Scalability problems of digital circuit evolution. In: Proc. of the 2nd NASA/DoD Workshop of Evolvable Hardware, Los Alamitos, CA, US, pp. 55–64. IEEE Computer Society Press, Los Alamitos (2000)CrossRefGoogle Scholar
  6. 6.
    Murakawa, M., Yoshizawa, S., Kajitani, I., Furuya, T., Iwata, M., Higuchi, T.: Hardware evolution at function level. In: Ebeling, W., Rechenberg, I., Voigt, H.-M., Schwefel, H.-P. (eds.) PPSN IV 1996. LNCS, vol. 1141, pp. 206–217. Springer, Heidelberg (1996)Google Scholar
  7. 7.
    Torresen, J.: Evolving multiplier crcuits by training set and training vector partitioning. In: Tyrrell, A.M., Haddow, P.C., Torresen, J. (eds.) ICES 2003. LNCS, vol. 2606, pp. 228–237. Springer, Heidelberg (2003)CrossRefGoogle Scholar
  8. 8.
    Stomeo, E., Kalganova, T., Lambert, C.: Generalized disjunction decomposition for evolvable hardware. IEEE Transactions on Systems, Man and Cybernetics – Part B 36, 1024–1043 (2006)CrossRefGoogle Scholar
  9. 9.
    Aoki, T., Homma, N., Higuchi, T.: Evolutionary synthesis of arithmetic circuit structures. Artificial Intelligence Review 20, 199–232 (2003)zbMATHCrossRefGoogle Scholar
  10. 10.
    Bidlo, M.: Evolutionary development of generic multipliers: Initial results. In: AHS 2007. Proc. of The 2nd NASA/ESA Conference on Adaptive Hardware and Systems, IEEE Computer Society Press, Los Alamitos (2007)Google Scholar
  11. 11.
    Wakerly, J.F.: Digital Design: Principles and Practice. Prentice Hall, New Jersey, US (2001)Google Scholar
  12. 12.
    Kumar, S., Bentley, P.J. (eds.): On Growth, Form and Computers. Elsevier Academic Press, Amsterdam (2003)Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2007

Authors and Affiliations

  • Michal Bidlo
    • 1
  1. 1.Brno University of Technology, Faculty of Information Technology, Božetěchova 2, 61266 BrnoCzech Republic

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