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
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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
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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
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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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