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De Morgan's laws represented with Venn diagrams.In each case, the resultant set is the set of all points in any shade of blue. In propositional logic and Boolean algebra, De Morgan's laws, [1] [2] [3] also known as De Morgan's theorem, [4] are a pair of transformation rules that are both valid rules of inference.
Download as PDF; Printable version; ... De Morgan's laws; Digital circuit; ... Faraday's law of induction/Faraday-Lenz law; Gauss's law; Kirchhoff's circuit laws ...
Date/Time Thumbnail Dimensions User Comment; current: 20:22, 30 September 2010: 1,300 × 900 (14 KB): MichaelFrey: The original used to sligtly diffrent whites: 16:43, 16 September 2008
Download as PDF; Printable version; ... Corollary to Wolff's law. De Morgan's laws apply to formal logic regarding the ... and electric circuits. Meadow's law is a ...
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.
To investigate the left distributivity of set subtraction over unions or intersections, consider how the sets involved in (both of) De Morgan's laws are all related: () = = () always holds (the equalities on the left and right are De Morgan's laws) but equality is not guaranteed in general (that is, the containment might be strict).
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The term "Boolean algebra" honors George Boole (1815–1864), a self-educated English mathematician. He introduced the algebraic system initially in a small pamphlet, The Mathematical Analysis of Logic, published in 1847 in response to an ongoing public controversy between Augustus De Morgan and William Hamilton, and later as a more substantial book, The Laws of Thought, published in 1854.