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  2. 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 ...

  3. Digital electronics - Wikipedia

    en.wikipedia.org/wiki/Digital_electronics

    Digital electronics is a field of electronics involving the study of digital signals and the engineering of devices that use or produce them. This is in contrast to analog electronics which work primarily with analog signals. Despite the name, digital electronics designs includes important analog design considerations.

  4. Analysis of Boolean functions - Wikipedia

    en.wikipedia.org/wiki/Analysis_of_Boolean_functions

    Friedgut's sharp threshold theorem [14] states, roughly speaking, that a monotone graph property (a graph property is a property which doesn't depend on the names of the vertices) has a sharp threshold unless it is correlated with the appearance of small subgraphs. This theorem has been widely applied to analyze random graphs and percolation.

  5. Mathematical methods in electronics - Wikipedia

    en.wikipedia.org/wiki/Mathematical_methods_in...

    Signal analysis: Involves Fourier analysis, Nyquist–Shannon sampling theorem, and information theory, essential for understanding and manipulating signals in various systems. These methods build on the foundational laws and theorems provide insights and tools for the analysis and design of complex electronic systems.

  6. Consensus theorem - Wikipedia

    en.wikipedia.org/wiki/Consensus_theorem

    In Boolean algebra, the consensus theorem or rule of consensus [1] is the identity: ¯ = ¯ The consensus or resolvent of the terms and ¯ is . It is the conjunction of all the unique literals of the terms, excluding the literal that appears unnegated in one term and negated in the other.

  7. 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.

  8. Circuit satisfiability problem - Wikipedia

    en.wikipedia.org/wiki/Circuit_satisfiability_problem

    The circuit on the left is satisfiable but the circuit on the right is not. In theoretical computer science, the circuit satisfiability problem (also known as CIRCUIT-SAT, CircuitSAT, CSAT, etc.) is the decision problem of determining whether a given Boolean circuit has an assignment of its inputs that makes the output true. [1]

  9. Truth table - Wikipedia

    en.wikipedia.org/wiki/Truth_table

    In digital electronics and computer science (fields of applied logic engineering and mathematics), truth tables can be used to reduce basic Boolean operations to simple correlations of inputs to outputs, without the use of logic gates or code. For example, a binary addition can be represented with the truth table: