Ones and Zeros: Understanding Boolean Algebra, Digital Circuits, and the Logic of Sets
Wiley, 1998 - 281 pagine
Ones and Zeros explains, in lay terms, Boolean algebra, the suprisingly simple system of mathematical logic used in digital computer circuitry. Ones and Zeros follows the development of this logic system from its origins in Victorian England to its rediscovery in this century as the foundation of all modern computing machinery. Readers will learn about the interesting history of the development of symbolic logic in particular, and the often misunderstood process of mathematical invention and scientific discovery, in general. Ones and Zeros also features practical exercises with answers, real-world examples of digital circuit design, and a reading list. Ones and Zeros will be of particular interest to software engineers who want to gain a comprehensive understanding of computer hardware. Outstanding features include: a history of mathematical logic, an explanation of the logic of digital circuits, and hands-on exercises and examples.
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THE ALGEBRA OF SETS AND VENN
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abcd added algebra of sets algebraic expression apply areas base binary blocks Boolean algebra Boolean function called canonical form carry chapter circuit diagram COIN combinations comparator complement consider consists contains corresponding create data input decoder derive digit draw eight entire equal equation equivalent exactly example Exercise expression final four gate given grouping implication implication function input bits interpretation intersection logic look mathematical maxterm realization means method minions minterm multiplexer NAND operations output bit output column output line particular position possible prime implicants produce Property prove realization represent result rule shown in Figure shown in Table significant simply single specified statement symbol things three-input true truth table two-input variables vector Venn diagram write x V y zero
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