Abstract
This chapter discusses a number system, which is a scheme for representing positive integers. The system that human beings have used most is based on the integer 10, presumably because people have 10 fingers or digits. All the digit-by-digit algorithms for arithmetic have the same form in any base as they have in decimal. Although many digital computers use a mode of arithmetic in which all sequences of digits are interpreted as integers, others are so designed that all such sequences are interpreted as fractions. The number of significant digits retained determines the accuracy of the rounded-off number. If simple truncation of the sequence is used, an accuracy that depends on the base and the number of digits used are obtained.
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