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# #7 - EE200 DIGITAL LOGIC CIRCUIT DESIGN Class Notes CLASS...

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EE200(class 3-2) Prof. M.M. Dawoud 19 EE200 DIGITAL LOGIC CIRCUIT DESIGN Class Notes CLASS 3-3 The material covered in this class will be as follows: Boolean Algebra Postulates Two-valued Boolean Algebra Basic Theorems and Properties Venn Diagrams Boolean Algebra: It is defined with a set of elements, set of operators, and a number of unproved axioms or postulates. We are interested in two-valued Boolean Algebra. Axiomatic Definition of Boolean Algebra: Boole in 1854 introduced the treatment of logic and Shannon in 1938 introduced the 2-valued Boolean Algebra (Switching Theory). We define Boolean Algebra by using the following Huntington's postulates defined on a set of two elements B and two binary operators: +, . 1. Closure a. with respect to + b. with respect to . 2. Identity a. wrt + called 0 such that x + 0 = 0 + x = x b. wrt . called 1 such that x.1 = 1.x = x

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EE200(class 3-2) Prof. M.M. Dawoud 20 3. Commutative a. x + y = y + x b. x.y = y.x 4. Distributive a. x.(y+z) = x.y + x.z b. x + (y.z) = (x + y).(x + z) 5. For xB there is such that 1, . 0
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#7 - EE200 DIGITAL LOGIC CIRCUIT DESIGN Class Notes CLASS...

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