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  2. Truth table - Wikipedia

    en.wikipedia.org/wiki/Truth_table

    A truth table is a mathematical table used in logic—specifically in connection with Boolean algebra, Boolean functions, and propositional calculus—which sets out the functional values of logical expressions on each of their functional arguments, that is, for each combination of values taken by their logical variables. [1]

  3. List of rules of inference - Wikipedia

    en.wikipedia.org/wiki/List_of_rules_of_inference

    The column-11 operator (IF/THEN), shows Modus ponens rule: when p→q=T and p=T only one line of the truth table (the first) satisfies these two conditions. On this line, q is also true. Therefore, whenever p → q is true and p is true, q must also be true.

  4. Functional completeness - Wikipedia

    en.wikipedia.org/wiki/Functional_completeness

    In logic, a functionally complete set of logical connectives or Boolean operators is one that can be used to express all possible truth tables by combining members of the set into a Boolean expression. [1] [2] A well-known complete set of connectives is { AND, NOT}. Each of the singleton sets { NAND} and { NOR} is functionally complete.

  5. Truth function - Wikipedia

    en.wikipedia.org/wiki/Truth_function

    In logic, a truth function [1] is a function that accepts truth values as input and produces a unique truth value as output. In other words: the input and output of a truth function are all truth values; a truth function will always output exactly one truth value, and inputting the same truth value(s) will always output the same truth value.

  6. OR-AND-invert - Wikipedia

    en.wikipedia.org/wiki/OR-AND-invert

    This logic -related article is a stub. You can help Wikipedia by expanding it.

  7. NOR gate - Wikipedia

    en.wikipedia.org/wiki/NOR_gate

    The NOR gate is a digital logic gate that implements logical NOR - it behaves according to the truth table to the right. A HIGH output (1) results if both the inputs to the gate are LOW (0); if one or both input is HIGH (1), a LOW output (0) results. NOR is the result of the negation of the OR operator.

  8. Boolean function - Wikipedia

    en.wikipedia.org/wiki/Boolean_function

    Balanced: if its truth table contains an equal number of zeros and ones. The Hamming weight of the function is the number of ones in the truth table. Bent: its derivatives are all balanced (the autocorrelation spectrum is zero) Correlation immune to mth order: if the output is uncorrelated with all (linear) combinations of at most m arguments

  9. 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.