PPT-22C:19 Discrete Math Boolean Algebra & Digital Logic

Fall 2010 Sukumar Ghosh Boolean Algebra In 1938 Shannon showed how the basic rules of logic first given by George Boole in his 1854 publication The Laws of Thought can be used to design circuits. Please do not alter or modify contents All rights reserved 1FQMFXIFFMMZVDDFGVMJNQMFNFUJHUIJLJMM hy does my child always have an attitude Shes often disruptive disrespectful or picking on other children Shes always the one with a chip on her shoulder Chapter 4 (. Sections 4.1 and 4.2) . The Roots: Logic. 1848 George Boole . The Calculus of Logic. . chocolate and . nuts . and mint. The Roots: Logic. cheese . and . (pepperoni or sausage). Critical Thinking & Problem Solving. © Janet Tillman/The Master’s College, 2002, permission is granted for non-profit educational use; any reproduction or modification should include this statement.. Chapter 1, Part III: Proofs. With Question/Answer Animations. Summary. Valid Arguments and Rules of Inference. Proof Methods. Proof Strategies. Rules of Inference. Section 1.6. Section Summary. Valid Arguments. Michael S. Cokus, . msc@mitre.org. . John W. Dahlgren, . dahlgren@mitre.org. . The authors’ affiliation with The MITRE Corporation is provided for identification purposes only, and is not intended to convey or imply MITRE's concurrence with, or support for, the positions, opinions or viewpoints expressed by the authors.. L Al-. zaid. Math1101. 1. Boolean Functions. In Boolean algebra we work with the . set {0,1}. , . where:. 0 ≡ F . (False) & . 1 ≡ T . (True).. The 3 Operations used in Boolean Algebra are:. Structures. Introduction and Scope:. Propositions. Spring 2015. Sukumar Ghosh. The Scope. Discrete . mathematics. . studies mathematical . structures that are . fundamentally . discrete. ,. . not . 1. Date. Day. Class. No.. Title. Chapters. HW. Due date. Lab. Due date. Exam. 17 . Nov. Mon. 22. Combinational Logic. 13.3 – 13.5. LAB 10. 18 . Nov. Tue.  . 19 . Nov. Wed. 23. Sequential Logic. 14.1. © Janet Tillman/The Master’s College, 2002-2013, permission is granted for non-profit educational use; any reproduction or modification should include this statement.. Boolean Algebra. Science of Logic based on . Algebra. Huntington’s Postulates. Truth Tables. Graphic Symbols. Boolean Algebra Theorems. 1. Boolean . Algebra. 2. Boolean . Algebra. A fire sprinkler system should spray water if high heat is sensed and the system is set to . Lecture 4. Announcements. HW 1 due today.. HW 2 up on course webpage, due on Thursday, Sept. 18.. “Small quiz” in recitation on Monday, Sept. 15 on material from Lectures 1,2. Agenda. Last time:. Learning Objectives. Know the three basic logic gate operators . Work out the output of given inputs using a truth table. All the instructions and data inside a computer are stored using binary. . Computer memory uses many small transistors and capacitors to store data. . © 2014 Project Lead The Way, Inc.. Digital Electronics. What is Boolean Algebra ?. Boolean Algebra is a mathematical technique that provides the ability to algebraically simplify logic expressions. These simplified expressions will result in a logic circuit that is equivalent to the original circuit, yet requires fewer gates.. Fall . 2011. Sukumar Ghosh. Predicate Logic. Propositional logic has limitations. Consider this:. Is . x. . > 3. a proposition? No, it is a . predicate. . Call it . P(x. ). . P(4) . is true, but .