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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.
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
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Boolean prime ideal theorem; Compactness theorem; Consensus theorem; De Morgan's laws; Duality (order theory) Laws of classical logic; Peirce's law; Stone's representation theorem for Boolean algebras
Integrated injection logic (IIL, I 2 L, or I2L) is a class of digital circuits built with multiple collector bipolar junction transistors (BJT). [1] When introduced it had speed comparable to TTL yet was almost as low power as CMOS, making it ideal for use in VLSI (and larger) integrated circuits. The gates can be made smaller with this logic ...
De Morgan algebras are important for the study of the mathematical aspects of fuzzy logic. The standard fuzzy algebra F = ([0, 1], max( x , y ), min( x , y ), 0, 1, 1 − x ) is an example of a De Morgan algebra where the laws of excluded middle and noncontradiction do not hold.
A LOW (0) output results only if all the inputs to the gate are HIGH (1); if any input is LOW (0), a HIGH (1) output results. A NAND gate is made using transistors and junction diodes. By De Morgan's laws , a two-input NAND gate's logic may be expressed as A ¯ ∨ B ¯ = A ⋅ B ¯ {\displaystyle {\overline {A}}\lor {\overline {B}}={\overline ...
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.