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Ones and Zeros: Understanding Boolean Algebra, Digital Circuits, and the Logic of Sets

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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 hist 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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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 hist 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.

41 review for Ones and Zeros: Understanding Boolean Algebra, Digital Circuits, and the Logic of Sets

  1. 5 out of 5

    Gabrielam13

    Mi-a plăcut extrem de mult această introducere în algebra booleană. Autorul are un stil extrem de clar și prezintă informațiile într-un mod interesant, stârnind curiozitatea cu fiecare pagină. Singurul aspect de care mă pot plânge este faptul că așteptarea mea inițială, aceea că algebra booleană reprezintă doar pasul introductiv necesar pentru a explica cât mai detaliat circuitele digitale, nu a fost satisfăcută. Și, cu toate că tema principala a cărții este algebra booleană, sunt prezentate tan Mi-a plăcut extrem de mult această introducere în algebra booleană. Autorul are un stil extrem de clar și prezintă informațiile într-un mod interesant, stârnind curiozitatea cu fiecare pagină. Singurul aspect de care mă pot plânge este faptul că așteptarea mea inițială, aceea că algebra booleană reprezintă doar pasul introductiv necesar pentru a explica cât mai detaliat circuitele digitale, nu a fost satisfăcută. Și, cu toate că tema principala a cărții este algebra booleană, sunt prezentate tangențial și aplicații ale acesteia în circuitele digitale, ceea ce mie mi s-a părut destul de important. John R. Gregg pare să aibă o adevărată chemare în a fi profesor, deoarece nu trebuie să ai nicio cunoștință anterioară pentru a parcurge și înțelege această carte. Și chiar dacă ai cunoștințe anterioare, fiind familiar cu majoritatea conceptelor, tot te poți îndrăgosti de stilul său, așa cum mi s-a întâmplat și mie.

  2. 5 out of 5

    Joshua Ani

    Ones and Zeros was such an interesting book that I read it twice. It talks a lot about the binary system and things related to it. The book introduces the reader to its content by first talking about base ten and then bases other than base ten. It talks about the amazing property of base 2 that allows it to be interpreted as yes or no questions. The book then goes into detail about functions performed on bits such as AND, OR, and NOT. It states that each function can be represented in a truth ta Ones and Zeros was such an interesting book that I read it twice. It talks a lot about the binary system and things related to it. The book introduces the reader to its content by first talking about base ten and then bases other than base ten. It talks about the amazing property of base 2 that allows it to be interpreted as yes or no questions. The book then goes into detail about functions performed on bits such as AND, OR, and NOT. It states that each function can be represented in a truth table, a Venn diagram, and a logic circuit. The book later talks about other Boolean functions and more advanced circuits. I found it interesting how a single function NAND can be a complete system of Boolean functions by itself, able to represent any combination in a truth table. Finally, it goes into more detail about logic. For example, it talks about DeMorgan’s laws in page 166. Overall, I thought that this book was a very good book. I especially liked the part when it talked about the different types of circuits such as multiplexers and decoders. The chapters specifically talking about logic were also interesting. In particular, there was an example about how syllogistic reasoning could be applied to a hypothetical video game on page 189. It’s a hard pick, but I think that the least interesting chapter about the algebra of sets and Venn Diagrams. This is because I didn’t think that talking about isomorphisms was all that interesting. I would recommend this book to anyone who would like to become an electric engineer or a logician.

  3. 5 out of 5

    Don

    Great introduction to binary arithmetic and logic gates.

  4. 5 out of 5

    Audrey

    Ten out of ten perfect book about logic and boolean algebra for the absolute beginner.

  5. 5 out of 5

    George R. Self

  6. 5 out of 5

    Danny

  7. 5 out of 5

    Abd ElRhman

  8. 5 out of 5

    Jennifer

  9. 5 out of 5

    Steve

  10. 4 out of 5

    Wes

  11. 4 out of 5

    Archibauld Spaulding

  12. 4 out of 5

    Jedikalos

  13. 4 out of 5

    Robin Blake

  14. 5 out of 5

    Jordan

  15. 5 out of 5

    Asad Kazmi

  16. 4 out of 5

    John

  17. 4 out of 5

    Omprakash

  18. 5 out of 5

    Tesserato

  19. 5 out of 5

    Gints Dreimanis

  20. 5 out of 5

    Jeff

  21. 5 out of 5

    Visakhvijay

  22. 5 out of 5

    Lee

  23. 5 out of 5

    Powell

  24. 5 out of 5

    Bria

  25. 4 out of 5

    Brian Wawro

  26. 4 out of 5

    قيس محمد

  27. 4 out of 5

    Jason Thompson

  28. 4 out of 5

    Saddu

  29. 5 out of 5

    Natalie Lin

  30. 4 out of 5

    Sisiranga

  31. 4 out of 5

    Uģis Liepa

  32. 4 out of 5

    Ranjan Maharana

  33. 5 out of 5

    Anshuman

  34. 5 out of 5

    Ancy

  35. 5 out of 5

    Runiya

  36. 5 out of 5

    Asaad Malik

  37. 5 out of 5

    John Mwale

  38. 5 out of 5

    Amiri Barksdale

  39. 5 out of 5

    Sabrina Kent

  40. 5 out of 5

    Gizem

  41. 4 out of 5

    Tony Robinson

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