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

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EE200(class 3-2) Prof. M.M. Dawoud 28 EE200 DIGITAL LOGIC CIRCUIT DESIGN Class Notes CLASS 3-4 The material covered in this class will be as follows: Boolean functions Algebraic manipulation Complement of a function Canonical and standard forms Boolean Functions The following Boolean functions are represented in the truth table. 1 F xyz = 2 F xy z = + 3 F xyz xyz xy ′′ =+ + 4 F xy x z = + x y z F 1 F 2 F 3 F 4 0 0 0 0 0 0 0 0 0 1 0 1 1 1 0 1 0 0 0 0 0 0 1 1 0 0 1 1 1 0 0 0 1 1 1 1 0 1 0 1 1 1 1 1 0 1 1 0 0 1 1 1 0 1 0 0
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EE200(class 3-2) Prof. M.M. Dawoud 29 The functions can be implemented, using the basic logic gates, as shown in the following logic diagrams. x y Z' F 1 = xyz’ x y' Z F 2 = x+y’z F 3 = x'y'z+x'yz+xy' x' Z y Z x x Z F 4 = xy'+x’z Algebraic Manipulation Boolean functions are made up of terms. Each term consists of a number of literals. A literal is a variable or the complement of a variable. Each term is represented by a logic gate and each literal represents an input to a logic gate. By reducing the number of
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This note was uploaded on 05/21/2010 for the course EE EE200 taught by Professor Prof.ahmed during the Spring '09 term at King Fahd University of Petroleum & Minerals.

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

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