Data—Its Representation and Manipulation
In this chapter we are concerned with the preliminaries of representing information, or data, using binary units or bits. We start with a most basic concept—number systems. The number systems considered are those common ones of “normal binary representation,” negabinary, and Gray coding. We also introduce a less well known “mixed-radix system,” based on the factorials. This representation will be of use to us later on when we look at combinatorics.
KeywordsTransportation Autocorrelation Prefix
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- Croy, J. (1961), Rapid Technique of Manual or Machine Binary-to-Decimal Integer Conversion Using Decimal Radix Arithmetic, IRE Transactions on Electronic Computers, Vol. 10, p. 777.Google Scholar
- Rothaus, O. (1976), On “Bent” Functions, Journal of Combinatorial Theory, Series A, Vol. 20, No. 3, May.Google Scholar
- Sellers, F., M-Y. Hsiao, and L. Bearnson (1968), Error Detecting Logic for Digital Computers, McGraw-Hill, New York.Google Scholar
- Titsworth, R. (1964), Optimal Ranging Codes, IEEE Transactions on Space Electronics and Telemetry, pp. 19–30, March.Google Scholar
- Wadel, L. (1961), Conversion from Conventional to Negative-Base Number Representation, IRE Transactions on Electronic Computers, p. 779.Google Scholar
- Wang, M. (1966), An Algorithm for Gray-to-Binary Conversion, IEEE Transactions on Electronic Computers, pp. 659–660.Google Scholar
- Yates, F. (1937), The Design and Analysis of Factorial Experiments, Imperial Bureau of Soil Science, Harpenden, England.Google Scholar