TWO-VALUED LOGIC

  

Copyright © Philip M. Parker, INSEAD. Terms of Use.

TWO-VALUED LOGIC

Specialty Definition: TWO-VALUED LOGIC

DomainDefinition

Computing

Two-valued logic (Commonly known as "Boolean algebra") A mathematical system concerning the two truth values, TRUE and FALSE and the functions AND, OR and NOT. Two-valued logic is one of the cornerstones of logic and is also fundamental in the design of digital electronics and programming languages. The term "Boolean" is used here with its common meaning - two-valued, though strictly Boolean algebra is more general than this. Boolean functions are ususally represented by truth tables where "0" represents "false" and "1" represents "true". E.g.: A | B | A AND B --+---+-------- 0 | 0 | 0 0 | 1 | 0 1 | 0 | 0 1 | 1 | 1 This can be given more compactly using "x" to mean "don't care" (either true or false): A | B | A AND B --+---+-------- 0 | x | 0 x | 0 | 0 1 | 1 | 1 Similarly: A | NOT A A | B | A OR B --+------ --+---+-------- 0 | 1 0 | 0 | 0 1 | 0 x | 1 | 1 1 | x | 1 Other functions such as XOR, NAND, NOR or functions or more than two inputs can be constructed using combinations of AND, OR and NOT. AND and OR can be constructed from each other using DeMorgan's Theorem: A OR B = NOT ((NOT A) AND (NOT B)) A AND B = NOT ((NOT A) OR (NOT B)) In fact any Boolean function can be constructed using just NOR or just NAND using the identities: NOT A = A NOR A A OR B = NOT (A NOR B) and DeMorgan's Theorem. (1995-01-05). Source: The Free On-line Dictionary of Computing.

Source: compiled by the editor from various references; see credits.

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Anagrams: TWO-VALUED LOGIC

Scrabble® Enable2K-Verified Anagrams

Words within the letters "a-c-d-e-g-i-l-l-o-o-t-u-v-w"

-3 letters: outcavilled.

-4 letters: colligated, outcaviled, victualled.

-5 letters: colligate, collogued, logaoedic, outglowed, outvoiced, outwilled, oviductal, victualed.

Source: compiled by the editor from various references; see credits.

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Alternative Orthography: TWO-VALUED LOGIC


Hexadecimal (or equivalents, 770AD-1900s) (references)

54 57 4F 2D 56 41 4C 55 45 44      4C 4F 47 49 43

Leonardo da Vinci (1452-1519; backwards) (references)

    

Binary Code (1918-1938, probably earlier) (references)

01010100 01010111 01001111 00101101 01010110 01000001 01001100 01010101 01000101 01000100 00100000 01001100 01001111 01000111 01001001 01000011

HTML Code (1990) (references)

&#84 &#87 &#79 &#45 &#86 &#65 &#76 &#85 &#69 &#68 &#32 &#76 &#79 &#71 &#73 &#67

ISO 10646 (1991-1993) (references)

0054 0057 004F 002D 0056 0041 004C 0055 0045 0044      004C 004F 0047 0049 0043

Encryption (beginner's substitution cypher): (references)

5457491556354655393824649414337

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INDEX

1. Anagrams
2. Orthography
3. Bibliography


  

Copyright © Philip M. Parker, INSEAD. Terms of Use.