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Titlebook: Design of Arithmetic Units for Digital Computers; John B. Gosling Book 1980 John B. Gosling 1980 Calc.Calculation.Likelihood.Mathematica.a

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发表于 2025-3-21 18:35:51 | 显示全部楼层 |阅读模式
书目名称Design of Arithmetic Units for Digital Computers
编辑John B. Gosling
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图书封面Titlebook: Design of Arithmetic Units for Digital Computers;  John B. Gosling Book 1980 John B. Gosling 1980 Calc.Calculation.Likelihood.Mathematica.a
描述The original motivation for the development of digital computers was to make it possible to perform calculations that were too large to be attempted by a human being without serious likelihood of error. Once the users found that they could achieve their initial aims, they then wanted to go into greater detail, and to solve still bigger problems, so that the demand for extra computing power has continued unabated, and shows no sign of slackening. This book is an attempt to describe some of the more important techniques used today, or likely to be used in the near future, to perform arithmetic within the computing machine. There are, at present, few books in this field. Most books on computer design cover the more elementary methods, and some go into detail on one or two more ambitious units. Space does not allow more. In this text the aim has been to fill this gap in the literature. In selecting the topics to be covered, there have been two main aims: first, to deal with the basic procedures of arithmetic, and then to carry on to the design of more powerful units; second, to maintain a strictly practical approach. The number of mathematical formulae has been kept to a minimum, and t
出版日期Book 1980
关键词Calc; Calculation; Likelihood; Mathematica; arithmetic; computer; design; development; field; form; minimum; te
版次1
doihttps://doi.org/10.1007/978-1-4757-4938-0
isbn_softcover978-1-4757-4940-3
isbn_ebook978-1-4757-4938-0
copyrightJohn B. Gosling 1980
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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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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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Other Functions of the Arithmetic Unit,s, in which the result is a word, the bits of which are a logical combination of the corresponding bits of the operands. Among these are shift functions, in which the bits of a word are reordered in a specified fashion. Usually the bits remain in the same order, but changed in position; the end bits
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Mathematical Functions and Array Processing,ded for most machines. This chapter will discuss some additional functions that the unit could perform. Most of these are only useful for machines intended primarily for mathematical applications, though some, such as vector operations, have been shown to have applications in data processing as well
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Lecture Notes in Computer ScienceUp to this point all numbers handled have been positive by implication, though the discussion of multiplication has indicated the possibility of negative partial products. It is clear, however, that a computer designed to solve mathematical problems must be capable of handling negative numbers.
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Jean Goubault-Larrecq,Julien OlivainDivision is the fourth of the basic arithmetic operations, and occurs much less frequently than any of the others. As a result, only the largest computers normally contain a separate hardware divider. Division can be implemented using either subtraction or multiplication, and frequently makes use of the hardware provided for these operations.
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