Introduction To Binary Arithmetic 3000 Solved Examples That Demonstrate Conversion To The Decimal Number System
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Introduction to Binary Arithmetic: 3000 Solved Examples That Demonstrate Conversion to the Decimal Number System
Binary Arithmetic is at the root of all computer mathematics; this important foundation of digital arithmetic makes every computing device that saves our time and energy possible. Binary logic has been around for a long time, but the number system first became very useful almost eighty years ago, when the first computing devices used this arithmetic logic to perform operations. Today, we have incredibly sophisticated devices that use chips or integrated circuits that are orders of magnitude more powerful than the unwieldy computers from a century ago, but the basic logic is still the same. This book is an introduction to the binary number system. It seeks to establish the equivalence between binary and decimal numbers; I have explained how to convert from one number system to the other, and I have also given you a large number of solved examples and sample exercises. This will enable you to become completely comfortable with how everything works. This is an essential precursor to understanding how binary arithmetic operations work. You can spend anywhere between five and fifty hours on this book; once you become comfortable with carrying out the conversions in your head, it's a good time to stop and reflect on what you have learned. This book also serves as a great refresher course for people who know the basics, but are a little rusty on how exactly everything works in the real world. Have a great time learning about the binary number system!
Leibniz on Binary
The first collection of Leibniz’s key writings on the binary system, newly translated, with many previously unpublished in any language. The polymath Gottfried Wilhelm Leibniz (1646–1716) is known for his independent invention of the calculus in 1675. Another major—although less studied—mathematical contribution by Leibniz is his invention of binary arithmetic, the representational basis for today’s digital computing. This book offers the first collection of Leibniz’s most important writings on the binary system, all newly translated by the authors with many previously unpublished in any language. Taken together, these thirty-two texts tell the story of binary as Leibniz conceived it, from his first youthful writings on the subject to the mature development and publication of the binary system. As befits a scholarly edition, Strickland and Lewis have not only returned to Leibniz’s original manuscripts in preparing their translations, but also provided full critical apparatus. In addition to extensive annotations, each text is accompanied by a detailed introductory “headnote” that explains the context and content. Additional mathematical commentaries offer readers deep dives into Leibniz’s mathematical thinking. The texts are prefaced by a lengthy and detailed introductory essay, in which Strickland and Lewis trace Leibniz’s development of binary, place it in its historical context, and chart its posthumous influence, most notably on shaping our own computer age.
MC 68HC11-- an Introduction
How to use the Motorola 68HC11 microcontroller in the design of an instrument or some other device.