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List of notation used in Principia Mathematica; List of mathematical symbols; Logic alphabet, a suggested set of logical symbols; Logic gate § Symbols; Logical connective; Mathematical operators and symbols in Unicode; Non-logical symbol; Polish notation; Truth function; Truth table; Wikipedia:WikiProject Logic/Standards for notation
In Jan Łukasiewicz's prefix notation for logic, the operator is , for Polish koniunkcja. [ 4 ] In mathematics, the conjunction of an arbitrary number of elements a 1 , … , a n {\displaystyle a_{1},\ldots ,a_{n}} can be denoted as an iterated binary operation using a "big wedge" ⋀ (Unicode U+22C0 ⋀ N-ARY LOGICAL AND ): [ 5 ]
The gate can be represented with the plus sign (+) because it can be used for logical addition. [1] Equivalently, an OR gate finds the maximum between two binary digits, just as the AND gate finds the minimum. [2] Together with the AND gate and the NOT gate, the OR gate is one of three basic logic gates from which any Boolean circuit may
The AND gate is a basic digital logic gate that implements logical conjunction (∧) from mathematical logic – AND gate behaves according to the truth table. A HIGH output (1) results only if all the inputs to the AND gate are HIGH (1). If not all of the inputs to the AND gate are HIGH, a LOW output results.
A logic circuit diagram for a 4-bit carry lookahead binary adder design using only the AND, OR, and XOR logic gates. A logic gate is a device that performs a Boolean function, a logical operation performed on one or more binary inputs that produces a single binary output.
In logic and mathematics, statements and are said to be logically equivalent if they have the same truth value in every model. [1] The logical equivalence of and is sometimes expressed as , ::, , or , depending on the notation being used.
In Jan Łukasiewicz's prefix notation for logic, the operator is , short for Polish alternatywa (English: alternative). [ 4 ] In mathematics, the disjunction of an arbitrary number of elements a 1 , … , a n {\displaystyle a_{1},\ldots ,a_{n}} can be denoted as an iterated binary operation using a larger ⋁ (Unicode U+22C1 ⋁ N-ARY LOGICAL ...
This characterization is used to specify intervals by mean of interval notation, which is described below. An open interval does not include any endpoint, and is indicated with parentheses. [2] For example, (,) = {< <} is the interval of all real numbers greater than 0 and less than 1.