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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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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Preliminary Notes,e powerful, and users have continued to demand more and more capability. Computers have of course penetrated many other areas than mathematics, but this book is primarily concerned with the way in which the elementary mathematical processes can be, and are, implemented in digital computing machines.

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Addition,or performing addition, assuming unsigned binary numbers. The effect of introducing negative numbers, and the implementation of subtraction, will be delayed until chapter 4. For the purposes of this chapter all numbers will also be assumed to be ‘fixed point’.

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Negative Numbers and Their Effect on Arithmetic,encil-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 rules must be applied to computer arithmetic in such a way that the circuitry can handle all representable numbers.

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conservative

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Possibilistic Conditional Tablesor performing addition, assuming unsigned binary numbers. The effect of introducing negative numbers, and the implementation of subtraction, will be delayed until chapter 4. For the purposes of this chapter all numbers will also be assumed to be ‘fixed point’.