'Distributive laws' diaporamas de présentation

TEST OF FUNDAMENTALS

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Chapter 8

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Chapter 8

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Mathematics

Some Cool Tricks. Mathematics. Graphs. We can consider the screen as high school graph paper. Each sprite or object is located somewhere in the coordinate system. Our Screen. Remember our screen is not like the school mathematical graph paper! The origin is at the top-left!

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Chapter 2 - Boolean Algebra - comparison to regular algebra Any algebra is built upon :

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Propositional Logic

Propositional Logic. School of Athens Fresco by Raphael Wikimedia Common s. Discrete Structures (CS 173) Madhusudan Parthasarathy, University of Illinois. Mathematical logic (symbolic logic).

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Lattice and Boolean Algebra

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Lattice and Boolean Algebra

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Propositional Equivalences

Propositional Equivalences. Section 1.3. Section Summary. Tautologies, Contradictions, and Contingencies. Logical Equivalence Important Logical Equivalences Showing Logical Equivalence Normal Forms ( optional, covered in exercises in text ) Disjunctive Normal Form Conjunctive Normal Form

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Discrete Mathematics: Applications of PL and Propositional Equivalences

Discrete Mathematics: Applications of PL and Propositional Equivalences. Section Summary:. Translating English to Propositional Logic System Specifications Logic Puzzles Logic Circuits Etc. Translating English Sentences.

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Chapter 1: Introduction to Boolean Logic

Chapter 1: Introduction to Boolean Logic. Computing Machinery: digital logic, computer architecture, & microcontrollers. George Boole & Claude E. Shannon. Thus, if x represent opaque substances, y polished substances, z stones, we shall have, xyz = opaque polished stones;

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Boolean Algebra

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Predicate Calculus

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Ch. 2 Basic Structures

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Clausal Form

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Discussion #10 Logical Equivalences

Discussion #10 Logical Equivalences. Topics. Laws Duals Manipulations / simplifications Normal forms Definitions Algebraic manipulation Converting truth functions to logic expressions. Law. Name. P ? ?P ? T P ? ?P ? F. Excluded middle law Contradiction law. P ? F ? P P ? T ? P.

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Simplifying Boolean Expressions

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Logic Gates

Logic Gates. Shashidhara H S Dept. of ISE MSRIT.

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Propositional logic resolution

Propositional logic resolution. Conjunctive normal form : any formula of the predicate calculus can be transformed into a conjunctive normal form. Def . A formula is said to be in conjunctive normal form if it consists in the conjunction of clauses.

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