Abstract
The property of redundant binary (RB) representation provides carry free addition, however the result from the addition operations are obtained in RB form. Thus, conversion from redundant binary to conventional binary (CB) representation is required at the output stage of operation. In this article, we have proposed an efficient conversion circuit that obtains CB from RB representation. The proposed RB to CB converter circuits are coded in Verilog Hardware Description Language (HDL) and synthesized in ASIC level using Encounter(R) RTL Compiler RC13.10 v13.10-s006_1 of Cadence tool. For 32 operand, the synthesis report for the proposed one bit RB to CB converter shows 4.1% and 16.8% improvement in speed as compared to CLA in FPGA and ASIC platform respectively.
References
Parhami, B.: Computer Arithmetic: Algorithms and Hardware Designs. Oxford University Press, Inc., New York (2009)
Parhami, B.: Generalized signed-digit number systems: a unifying framework for redundant number representations. IEEE Trans. Comput. 39, 89–98 (1990)
Avizienis, A.: Signed-digit number representations for fast parallel arithmetic. IRE Trans. Electron. Comput. 3, 389–400 (1961)
Takagi, N., Yasuura, H., Yajima, S.: High-speed VLSI multiplication algorithm with a redundant binary addition tree. IEEE Trans. Comput. 100, 789–796 (1985)
Harata, Y., Nakamura, Y., Nagase, H., Takigawa, M., Takagi, N.: A high-speed multiplier using a redundant binary adder tree. IEEE J. Solid-State Circ. 22, 28–34 (1987)
He, Y., Chang, C.-H.: A new redundant binary booth encoding for fast-bit multiplier design. IEEE Trans Circ. Syst. I Regul. Pap. 56, 1192–1201 (2009)
Gorgin, S., Jaberipur, G.: Fully redundant decimal arithmetic. In: 19th IEEE Symposium on Computer Arithmetic, ARITH 2009, pp. 145–152 (2009)
Chakraborty, M.S.: Reverse conversion schemes for signed-digit number systems: a survey. J. Inst. Eng. Ser. B, 1–5 (2016)
Barik, R.K., Pradhan, M., Panda, R.: Efficient conversion technique from redundant binary to non redundant binary representation. J. Circ. Syst. Comput. World Sci. J. doi:10.1142/S0218126617501353
Jaberipur, G., Parhami, B.: Efficient realisation of arithmetic algorithms with weighted collection of posibits and negabits. IET Comput. Digital Tech. 6, 259–268 (2012)
Yen, S.-M., Laih, C.-S., Chen, C.-H., Lee, J.-Y.: An efficient redundant-binary number to binary number converter. IEEE J. Solid-State Circ. 27, 109–112 (1992)
Palnitkar, S.: Verilog HDL: A Guide to Digital Design and Synthesis, vol. 1. Prentice Hall Professional, New York (2003)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2017 Springer Nature Singapore Pte Ltd.
About this paper
Cite this paper
Tripathy, S.S., Barik, R.K., Pradhan, M. (2017). An Improved Conversion Circuit for Redundant Binary to Conventional Binary Representation. In: Mandal, J., Dutta, P., Mukhopadhyay, S. (eds) Computational Intelligence, Communications, and Business Analytics. CICBA 2017. Communications in Computer and Information Science, vol 775. Springer, Singapore. https://doi.org/10.1007/978-981-10-6427-2_29
Download citation
DOI: https://doi.org/10.1007/978-981-10-6427-2_29
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-10-6426-5
Online ISBN: 978-981-10-6427-2
eBook Packages: Computer ScienceComputer Science (R0)