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Chapter 2

Chapter 2. Combinational Systems. Chapter 2 Combinational Systems. 2.1 The Design Process for Combinational Systems. Continuing Example(CE). CE1. A system with four inputs, A, B, C, and D, and one output, Z, such that Z = 1 iff three of the inputs are 1.

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Disciplined Software Engineering Lecture #9

Disciplined Software Engineering Lecture #9. Watts S. Humphrey Software Engineering Institute Carnegie Mellon University Pittsburgh, PA 15213 Sponsored by the U.S. Department of Defense. Design Notation - Overview. The importance of notation Boolean algebra Karnaugh maps useful symbols

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Chapter 3

Chapter 3. Boolean Algebra and Logic Design Boolean Algebra Logic Gates Digital Design Implementation Technology ASICs Gate Arrays. Basic Algebraic Properties. A set is a collection of objects with a common property If S is a set and x is a member of the set S , then x ? S

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????????. Chapter 2. ??????. B = {0,1} ???? ??? ?????? (identity elements) (1) + : 0 (2)? : 1. ??? ???. ?? x+x '= 1: 0+0'=0+1=1; 1+1'=1+0=1 x ? x '= 0: 0?0'=0?1=0; 1?1'=1?0=0 ?????????????? 0 ? 1, ?? 0 ? 1 ?? ??????? ? + : OR ?? ; ? : AND ?? ??????? : NOT ??

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Boolean Algebra

Boolean Algebra. NOT Operation. The NOT operation (or inverse, or complement operation) replaces a Boolean value with its complement: 0’ = 1 1’ = 0 A’ is read as NOT A or Complement A Boolean representation F(A) = A’ = A Truth Table. A. A’. A. A’. 0. 1. 1. 0.

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Boolean Algebra and Digital Circuits

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Boolean algebra and logic gates

Boolean algebra and logic gates. Lecture 4. 2.4 : Basic Theorems And properties of Boolean Algebra. Boolean algebraic properties. Commutative property of (OR) A + B = B + A. Boolean algebraic properties. Commutative property of (AND) A . B = B . A. Boolean algebraic properties.

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???????. Week 3 ???. ???????. ???????. ???????. ???. ????????? ( + ) ? ( ?) ????????? : ????????????????????????????? 1 ??? 5 ????????????????? 6 ????? ???????????????????????????????. ???????. ???? (Boolean Algebra) ?????.

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FIGURES FOR CHAPTER 3 BOOLEAN ALGEBRA (continued)

This chapter in the book includes: Objectives Study Guide 3.1 Multiplying Out and Factoring Expressions 3.2 Exclusive-OR and Equivalence Operations 3.3 The Consensus Theorem 3.4 Algebraic Simplification of Switching Expressions 3.5 Proving the Validity of an Equation

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