module 3 : boolean algebras, expressions, & functions paolo prinetto politecnico di torino...

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Module 3 : Module 3 : Boolean Algebras, Boolean Algebras, Expressions, & Expressions, & Functions Functions Paolo PRINETTO Politecnico di Torino (Italy) University of Illinois at Chicago, IL (USA) [email protected] [email protected] Module 3

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Page 1: Module 3 : Boolean Algebras, Expressions, & Functions Paolo PRINETTO Politecnico di Torino (Italy) University of Illinois at Chicago, IL (USA) Paolo.Prinetto@polito.it

Module 3 :Module 3 :Boolean Algebras, Boolean Algebras,

Expressions, & Expressions, & FunctionsFunctions

Module 3 :Module 3 :Boolean Algebras, Boolean Algebras,

Expressions, & Expressions, & FunctionsFunctions

Paolo PRINETTOPolitecnico di Torino (Italy)

University of Illinois at Chicago, IL (USA)

[email protected] [email protected]

www.testgroup.polito.it

Module

3

Page 2: Module 3 : Boolean Algebras, Expressions, & Functions Paolo PRINETTO Politecnico di Torino (Italy) University of Illinois at Chicago, IL (USA) Paolo.Prinetto@polito.it

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Goal

This module first introduces Boolean Algebras, focusing on those aspects that are relevant to several steps of the digital systems design process

It then presents the most relevant representation methodologies adopted for Boolean Functions

Basic Boolean Functions and related logic gates are eventually presented.

Page 3: Module 3 : Boolean Algebras, Expressions, & Functions Paolo PRINETTO Politecnico di Torino (Italy) University of Illinois at Chicago, IL (USA) Paolo.Prinetto@polito.it

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Structure

This module includes the following 4 lectures:

3.1 An introduction to Boolean Algebras

3.2 Geometric representation & cubes

3.3 Boolean Functions representations

3.4 Basic Boolean Functions.

Page 4: Module 3 : Boolean Algebras, Expressions, & Functions Paolo PRINETTO Politecnico di Torino (Italy) University of Illinois at Chicago, IL (USA) Paolo.Prinetto@polito.it

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Remark

All the Lectures of the module are organized in such a way to be self-explanatory; thus there will be no audio comment for them.

Page 5: Module 3 : Boolean Algebras, Expressions, & Functions Paolo PRINETTO Politecnico di Torino (Italy) University of Illinois at Chicago, IL (USA) Paolo.Prinetto@polito.it

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Exercises

The text of some significant exercises is provided.

Page 6: Module 3 : Boolean Algebras, Expressions, & Functions Paolo PRINETTO Politecnico di Torino (Italy) University of Illinois at Chicago, IL (USA) Paolo.Prinetto@polito.it

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