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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]
For the following table: Part number column – the "x" is a place holder for the logic subfamily name. For example, 74x00 in "LS" logic family would be "74LS00". Description column – simplified to make it easier to sort, thus isn't identical to datasheet title.
A very early CD4029A counter IC, in 16-pin ceramic dual in-line package (DIP-16), manufactured by RCA Colorized IC die and schematics of CD4011BE NAND gateThe 4000 series was introduced as the CD4000 COS/MOS series in 1968 by RCA [1] as a lower power and more versatile alternative to the 7400 series of transistor-transistor logic (TTL) chips.
It may be defined either by appending one of the two equivalent axioms (¬q → p) → (((p → q) → p) → p) or equivalently p∨(¬q)∨(p → q) to the axioms of intuitionistic logic, or by explicit truth tables for its operations. In particular, conjunction and disjunction are the same as for Kleene's and Łukasiewicz's logic, while the ...
The left figure below shows a binary decision tree (the reduction rules are not applied), and a truth table, each representing the function (,,).In the tree on the left, the value of the function can be determined for a given variable assignment by following a path down the graph to a terminal.
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.
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NGC 4017 is an intermediate spiral radio galaxy located in the constellation Coma Berenices. Its speed relative to the cosmic microwave background is 3,748 ± 21 km/s, which corresponds to a Hubble distance of 55.3 ± 3.9 Mpc (~180 million ly). [1] NGC 4017 was discovered by German-British astronomer William Herschel in 1785. [2]