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Designing Dynamic Carry Skip Adders: Analysis and Comparison

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Abstract

Addition represents an important operation that significantly impacts the performance of almost every data processing system. Due to their importance and popularity, addition algorithms and their corresponding circuit implementations have consistently received attention in research circles, over the years. One of the most popular implementations for long adders is the carry skip adder. In this paper, we present the design space exploration for a variety of carry skip adder implementations. More specifically, the paper focuses on the implementation of these adders using traditional as well as novel dynamic circuit design styles. 8–16–32–64-bit adders were implemented using traditional domino, footless domino, and data driven dynamic logic (D3L) in ST Microelectronics 45 nm 1 V CMOS process. In order to further exploit the advantages of the domino and D3L approaches, a new hybrid methodology combining both strategies was implemented and presented in this work. The adders were analyzed for energy-delay trade-offs at different process corners. They were also examined for their sensitivity to process and supply voltage variations. Comparative simulation results reveal that the full D3L adder ensures a better energy-delay product over all process corners (down to 34 % and 25 % lower than the domino and hybrid implementations, respectively, at the typical corner), while showing at the same time similar performance in terms of process and supply voltage variability as compared to the other considered carry skip adder configurations.

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References

  1. M. Alioto, G. Palumbo, Impact of Supply Voltage Variations on Full Adder Delay: Analysis and Comparison. IEEE Trans. Very Large Scale Integr. (VLSI) Syst. 14(12), 1322–1335 (2006)

    Article  Google Scholar 

  2. A.A. Amin, Area-efficient high-speed carry chain. Electron. Lett. 43(23), 1258–1260 (2007)

    Article  Google Scholar 

  3. A. Chandrakasan, W. Bowhill, F. Fox, Design of High Performance Microprocessor Circuits (IEEE Press, New York, 2001)

    Google Scholar 

  4. R. De Rose, M. Lanuzza, F. Frustaci, Design and Evaluation of High-Speed Energy-Aware Carry Skip Adders, in Proc. of IEEE 22nd International Conference on Microelectronics (2010), pp. 124–127

    Google Scholar 

  5. H. Eriksson, P. Larsson-Edefors, A. Alvandopour, A 2.8 ns 30 mW/MHz area-efficient 32-b Manchester carry-bypass adder, in Proc. of ISCAS 2001 (2001), pp. 84–87

    Google Scholar 

  6. F. Frustaci, M. Lanuzza, P. Zicari, S. Perri, P. Corsonello, Low-Power Split-Path Data-Driven Dynamic Logic (SPD3L). IET Circuits Devices Syst. 3(6), 303–312 (2009)

    Article  Google Scholar 

  7. F. Frustaci, M. Lanuzza, P. Zicari, S. Perri, P. Corsonello, Designing High Speed Adders in Power-Constrained Environments. IEEE Trans. Circuits Syst. II 56(2), 172–176 (2009)

    Article  Google Scholar 

  8. S. Hauck, M. Hosler, T.W. Fry, High-performance carry chains for FPGA’s. IEEE Trans. Very Large Scale Integr. (VLSI) Syst. 2(8), 138–147 (2000)

    Article  Google Scholar 

  9. P. Hofstee et al., 1 GHz single-issue 64b PowerPC processor, in Proc. of IEEE Int. Solid-State Circuits Conf. (2000), pp. 92–93

    Google Scholar 

  10. H. Kawaguchi, T. Sakurai, A reduced clock-swing flip-flop (RCSFF) for 63 % power reduction. IEEE J. Solid-State Circuits 33(5), 807–811 (1998)

    Article  Google Scholar 

  11. M. Lanuzza, R. De Rose, F. Frustaci, S. Perri, P. Corsonello, Comparative analysis of yield optimized pulsed flip-flops. Microelectron. Reliab. 52, 1679–1689 (2012)

    Article  Google Scholar 

  12. J.H. Lou, J.B. Kuo, A 1.5 V bootstrapped pass-transistor-based Manchester carry chain circuit suitable for implementing low-voltage carry look-ahead adders. IEEE Trans. Circuits Syst. I, Fundam. Theory Appl. 11(45), 1191–1194 (1998)

    Article  Google Scholar 

  13. B. Parhami, Computer Arithmetic: Algorithms and Hardware Designs (Oxford University Press, London, 2000)

    Google Scholar 

  14. S. Purhoit, M. Lanuzza, S. Perri, P. Corsonello, M. Margala, Design and evaluation of an energy-delay-area efficient datapath for coarse-grain reconfigurable computing systems. J. Low Power Electron. 5(3), 326–338 (2009)

    Article  Google Scholar 

  15. S. Purhoit, M. Lanuzza, M. Margala, New Performance/Power/Area Efficient Reliable Full Adder Design, in Proc. of the ACM Great Lakes Symposium on VLSI, GLSVLSI (2009), pp. 493–498

    Chapter  Google Scholar 

  16. S. Purhoit, M. Lanuzza, M. Margala, Design Space Exploration of Split-Path Data Driven Dynamic Full Adder. J. Low Power Electron. 6(4), 469–481 (2010)

    Article  Google Scholar 

  17. M. Rabaey, A. Chandrakasan, B. Nikolic, Digital Integrated Circuits (Prentice-Hall, New York, 2002)

    Google Scholar 

  18. R. Rafati, S.M. Fakhraie, K.C. Smith, Lower-Power Data-Driven Dynamic Logic (D3L), in Proc. of IEEE International Symposium on Circuits and Systems, ISCAS 2000 (2000), pp. 752–755

    Google Scholar 

  19. T. Sakurai, A.R. Newton, Alpha-power law MOSFET model and its applications to CMOS inverter delay and other formulas. IEEE J. Solid-State Circuits 25, 584–594 (1990)

    Article  Google Scholar 

  20. R. Shalem, E. John, L.K. John, A novel low power energy recovery full adder cell, in Proc. of the 9th Great Lakes Symposium on VLSI (1999), pp. 380–383

    Chapter  Google Scholar 

  21. I. Sutherland, R. Sproull, D. Harris, Logical Effort (Morgan Kaufmann, San Mateo, 1999)

    Google Scholar 

  22. N. Weste, K. Eshraghian, Principles of CMOS VLSI Design (Addison-Wesley, Reading, 1993)

    Google Scholar 

  23. S.S. Yoon, S.R. Yoon, S.W. Kim, C. Kim, Charge-Sharing-Problem Reduced Split-Path Domino Logic, in Proc. of VLSI Design (2004), pp. 201–205

    Google Scholar 

  24. R. Zlatanovic, B. Nikolic, Power-Performance Optimization for Custom Digital Circuits, in Proc. of PATMOS (2005), pp. 404–414

    Google Scholar 

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De Rose, R., Lanuzza, M., Frustaci, F. et al. Designing Dynamic Carry Skip Adders: Analysis and Comparison. Circuits Syst Signal Process 33, 1019–1034 (2014). https://doi.org/10.1007/s00034-013-9688-y

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  • DOI: https://doi.org/10.1007/s00034-013-9688-y

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