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Boolean Algebra Boolean algebra was introduced by George Boole in his first book The Mathematical Analysis of Logic (1847), perfected in the late 19th.

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Presentation on theme: "Boolean Algebra Boolean algebra was introduced by George Boole in his first book The Mathematical Analysis of Logic (1847), perfected in the late 19th."— Presentation transcript:

1 Boolean Algebra Boolean algebra was introduced by George Boole in his first book The Mathematical Analysis of Logic (1847), perfected in the late 19th century Jevons, Schröder, George BooleJevonsSchröder Huntington, and others Huntington

2 Uses of Boolean Algebra Boolean algebra is the sub area of algebra in which the values of the variables are the truth values true and false, usually denoted 1 and 0 respectively.algebravariablestruth values the main operations of Boolean algebra are and, or, not, Boolean algebra was used in set theory and statistics.[set theorystatistics[

3 Digital Electronics In the 1930s, Claude Shannon observed that Boolean algebra could also apply to electrical switching circuits.Claude Shannon He introduced switching algebra as a way to analyze and design circuits in terms of logic gateslogic gates See Boolean Algebra Laws

4 Digital circuit design Shannon cast his switching algebra as two-element Boolean algebra. ie 2 states ON and OFFtwo-element Boolean algebra These values are represented with the bits (or binary digits), namely 0 and 1.bits See file Logic 14


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