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  2. Boole's expansion theorem - Wikipedia

    en.wikipedia.org/wiki/Boole's_expansion_theorem

    It has been called the "fundamental theorem of Boolean algebra". [1] Besides its theoretical importance, it paved the way for binary decision diagrams (BDDs), satisfiability solvers, and many other techniques relevant to computer engineering and formal verification of digital circuits.

  3. Boolean circuit - Wikipedia

    en.wikipedia.org/wiki/Boolean_circuit

    Boolean circuits provide a model for many digital components used in computer engineering, including multiplexers, adders, and arithmetic logic units, but they exclude sequential logic. They are an abstraction that omits many aspects relevant to designing real digital logic circuits, such as metastability , fanout , glitches , power consumption ...

  4. Logic optimization - Wikipedia

    en.wikipedia.org/wiki/Logic_optimization

    Logic optimization is a process of finding an equivalent representation of the specified logic circuit under one or more specified constraints. This process is a part of a logic synthesis applied in digital electronics and integrated circuit design.

  5. Circuit complexity - Wikipedia

    en.wikipedia.org/wiki/Circuit_complexity

    Example Boolean circuit. The nodes are AND gates, the nodes are OR gates, and the nodes are NOT gates. In theoretical computer science, circuit complexity is a branch of computational complexity theory in which Boolean functions are classified according to the size or depth of the Boolean circuits that compute them.

  6. List of Boolean algebra topics - Wikipedia

    en.wikipedia.org/wiki/List_of_Boolean_algebra_topics

    Boolean function; Boolean-valued function; Boolean-valued model; Boolean satisfiability problem; Boolean differential calculus; Indicator function (also called the characteristic function, but that term is used in probability theory for a different concept) Espresso heuristic logic minimizer; Logical matrix; Logical value; Stone duality; Stone ...

  7. NAND logic - Wikipedia

    en.wikipedia.org/wiki/NAND_logic

    A CMOS transistor NAND element. V dd denotes positive voltage.. In CMOS logic, if both of the A and B inputs are high, then both the NMOS transistors (bottom half of the diagram) will conduct, neither of the PMOS transistors (top half) will conduct, and a conductive path will be established between the output and Vss (ground), bringing the output low.

  8. Boolean function - Wikipedia

    en.wikipedia.org/wiki/Boolean_function

    In mathematics, a Boolean function is a function whose arguments and result assume values from a two-element set (usually {true, false}, {0,1} or {-1,1}). [1] [2] Alternative names are switching function, used especially in older computer science literature, [3] [4] and truth function (or logical function), used in logic.

  9. Boolean satisfiability problem - Wikipedia

    en.wikipedia.org/wiki/Boolean_satisfiability_problem

    In logic and computer science, the Boolean satisfiability problem (sometimes called propositional satisfiability problem and abbreviated SATISFIABILITY, SAT or B-SAT) is the problem of determining if there exists an interpretation that satisfies a given Boolean formula. In other words, it asks whether the variables of a given Boolean formula ...

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