ENEE244-02xx Digital Logic Design Lecture 4

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Description: ENEE244-02xx Digital Logic Design 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: Error Detecting

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slide1. ENEE244-02xx Digital Logic Design Lecture 4<br>
slide2. 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<br>
slide3. Agenda Last time:
Error Detecting and Correcting Codes (2.11, 2.12)
Boolean Algebra (3.1)
This time:
Boolean Algebra axioms and theorems (3.1, 3.2)
Boolean Formulas and Functions (3.4)
Canonical Formulas (3.5)<br>
slide4. Boolean Algebra<br>
slide5. Definition of a Boolean Algebra<br>
slide6. Definition of Boolean Algebra<br>
slide7. Definition of Boolean Algebra<br>
slide8. Principle of Duality<br>
slide9. Theorems of Boolean Algebra<br>
slide10. Theorems of Boolean Algebra<br>
slide11. Theorems of Boolean Algebra<br>
slide12. Theorems of Boolean Algebra<br>
slide13. Theorems of Boolean Algebra<br>
slide14. A Two-Valued Boolean Algebra x y x y Can verify that all the postulates hold by “perfect induction.” [Checking that equality holds for all possible variable settings]<br>
slide15. Boolean Formulas and Functions<br>
slide16. Normal Forms<br>
slide17. Normal Forms<br>
slide18. Canonical Formulas How to obtain a Boolean formula given a truth table?<br>
slide19. Minterm Canonical Formula<br>
slide20. m-Notation<br>
slide21. Maxterm Canonical Formula<br>
slide22. M-Notation<br>