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Number Systems and Binary Codes

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Fundamentals of Digital Electronics

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 623))

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Abstract

Decimal numbers are converted into binary numbers for digital processing applications. In addition to binary number system, octal and hexadecimal number systems are also used for digital processing. Apart from numeric data, digital signal processing requires analog data. Binary codes are used to represent analog data. Number systems and binary codes are explained. When binary codes are transmitted, bit errors might be observed at receiving end. Bit error detection methods, namely, single parity check, two dimensional parity check, check sum and cyclic redundancy, are presented.

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References

  1. LaMeres BJ (2017) Introduction to logic circuits & logic design with VHDL, Springer, 2017

    Google Scholar 

  2. Jaberipur G, Kaivani A (2007) Binary-coded decimal digit multipliers. IET Comput Dig Tech 1(4):377

    Article  Google Scholar 

  3. Oluwade D (2012) A comparative analysis and application of the compression properties of two 7-bit subsets of unicode. J Emerg Trends Comput Inf Sci 3(4)

    Google Scholar 

  4. Walt K (ed) (2004) Analog-digital conversion, analog devices, Mar 2004

    Google Scholar 

  5. Application report (2015) Application report SBAA042A, Texas instruments, May 2015

    Google Scholar 

  6. How unicode relates to prior standards such as ASCII and EBCDIC, IBM Knowledge Centre

    Google Scholar 

  7. Steven JS (2004) A brief history of character codes in North America, Europe and East Asia. Sakamura Laboratory, University Museum, University of Tokyo

    Google Scholar 

  8. Vining B (2007) What’s with these ASCII, EBCDIC, Unicode CCSIDs, IBM Corporation

    Google Scholar 

  9. Forouzan AB (2007) Data communication & network. McGraw Hill

    Google Scholar 

  10. Fitzgerald J, Dennis A, Durcikova A (2012) Business data communications and networking. Wiley & Sons Inc.

    Google Scholar 

  11. Geremia P (1999) Cyclic redundancy check computation: an implementation using the TMS320C54X. Application report SPRA530, Texas Instruments, Apr 1999

    Google Scholar 

  12. Matloff N (2001) Cyclic redundancy checking. University of California, Davis

    Google Scholar 

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Authors and Affiliations

  1. Bengaluru, India

    Dhanasekharan Natarajan

Authors
  1. Dhanasekharan Natarajan
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Natarajan, D. (2020). Number Systems and Binary Codes. In: Fundamentals of Digital Electronics. Lecture Notes in Electrical Engineering, vol 623. Springer, Cham. https://doi.org/10.1007/978-3-030-36196-9_5

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  • DOI: https://doi.org/10.1007/978-3-030-36196-9_5

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-36195-2

  • Online ISBN: 978-3-030-36196-9

  • eBook Packages: EngineeringEngineering (R0)

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