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Lect2 - 2

Lect2 - 2 - EE 316 Digital Logic Design Lecture 2 Nur A...

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EE 316 - Digital Logic Design Lecture 2 Nur A. Touba University of Texas at Austin

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BOOLEAN ALGEBRA Switching Devices Two-States Special Case of Boolean Algebra Used Two-valued “switching” algebra George Boole Developed Boolean Algebra in 1847 Claude Shannon Applied to switching circuits in 1939
BOOLEAN VARIABLE Boolean Variable X Takes two values ‘0’ or ‘1’ Basic Operations Inversion AND OR

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BOOLEAN EXPRESSIONS Simplest Single Constant: 0, 1 Single Variable: X, Y’ More Complicated Expressions AB’ + C [A(C+D)]’ + BE No Parentheses Order is Complementation, AND, OR
EVALUATING EXPRESSION Substitute value of 0 or 1 for each variable [(A+B)D]’ + C’E

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LITERAL Literal Each appearance of variable or its complement Corresponds to gate input when using logic gates
TRUTH TABLE Truth Table (Table of Combinations) Specifies value of Boolean expression for every possible combination of values of variables Expression with n variables 2 n rows in truth table

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Lect2 - 2 - EE 316 Digital Logic Design Lecture 2 Nur A...

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