Titlebook: Design of Arithmetic Units for Digital Computers; John B. Gosling Textbook 1980Latest edition John B. Gosling 1980 computer.design.units

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https://doi.org/10.1007/978-3-030-01851-1ciples behind it are equally applicable to other units and, indeed, in other branches of engineering. Previous chapters have dealt with the various subunits. This chapter concerns the over-all linking to make a complete unit.

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Practical Design Problems,ciples behind it are equally applicable to other units and, indeed, in other branches of engineering. Previous chapters have dealt with the various subunits. This chapter concerns the over-all linking to make a complete unit.

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Preliminary Notes, human operator, partly because of the sheer length of the calculation and partly because of the likelihood of errors arising through tiredness or other human factors. The machine should overcome both of these limitations to a considerable extent. Over the years machines have become increasingly mor

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Addition,nd, and in this book will not be discussed separately. Both multiplication and division can be implemented by means of addition and subtraction. In order to keep the discussion unencumbered with the problems of representing negative numbers, this chapter will describe the most important techniques f

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Multiplication,s it occurs as frequently as addition and subtraction combined. As in the previous chapter, this chapter will discuss the procedures involved in multiplication of two binary ‘bit patterns’, and will not discuss the problems of handling signed numbers. Signed multiplication will be described in chapt

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Negative Numbers and Their Effect on Arithmetic,ive partial products. It is clear, however, that a computer designed to solve mathematical problems must be capable of handling negative numbers. In pencil-and-paper work this is done by the use of the + and − signs, together with a set of rules such as . and . For instance . and . A similar set of

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Floating Point Operation,ers. If the numbers are regarded as integers, then it is necessary to scale many problems in order to represent fractions. The scale used by astronomers and atomic physicists to represent length and mass, for instance, would be totally different. Even so, some 9 decimal digits are not sufficient for

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