'Karnaugh map' presentation slideshows

Boolean Algebra and Logic Simplification

Boolean Algebra and Logic Simplification. Boolean Operations and Expressions. Boolean Addition (OR). Boolean Multiplication (AND). Laws and Rules of Boolean Algebra. Laws: Commutative Associative Distributive Rules. Application of commutative law of addition.

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Overview of Chapter 3

Overview of Chapter 3. K-maps: an alternate approach to representing Boolean functions K-map representation can be used to minimize Boolean functions Easy conversion from truth table to K-map to minimized SOP representation. Simple rules (steps) used to perform minimization

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Design Technology

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Pgt 104 ELEKTRONIK DIGIT

Pgt 104 ELEKTRONIK DIGIT . CHAPTER 1 INTRODUCTION TO DIGITAL LOGIC. K-Map (1). Karnaugh Mapping is used to minimize the number of logic gates that are required in a digital circuit. This will replace Boolean reduction when the circuit is large.

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EE40 Lec 15 Logic Synthesis and Sequential Logic Circuits Prof. Nathan Cheung

EE40 Lec 15 Logic Synthesis and Sequential Logic Circuits Prof. Nathan Cheung. 10/20/2009 Reading: Hambley Chapters 7.4-7.6 Karnaugh Maps: Read following before reading textbook http:// www.facstaff.bucknell.edu/mastascu/eLessonsHTML/Logic/Logic3.html. Synthesis of Logic Circuits.

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Simplification of Boolean Functions:

Simplification of Boolean Functions:. An implementation of a Boolean Function requires the use of logic gates. A smaller number of gates, with each gate (other then Inverter) having less number of inputs, may reduce the cost of the implementation.

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Chapter 2 Minimization of Switching Functions

Chapter 2 Minimization of Switching Functions. 2.1 Boolean Algebra. Table 1 Boolean Operators for Variables x 1 and x 2. Table 2 Truth Table for AND, OR, NOT, Exclusive-OR, and Exclusive-NOR Operations. Axiom 1: Boolean set definition

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IKI10201 04a-Simplification of Boolean Functions

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Organizational Remarks

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Digital Logic Design

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Digital Logic Design

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Lecture 6

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????? ??????? ?????

????? ??????? ?????. ??????? ???? ?????? ???? ????. ?????? ??? 92-93. ????? ??????? ?????. ??????? ???? ?????? ???? ????. ????? ???? ??????? ?????: ???? ?????. Optimization. Algebraic procedures problems The procedures are difficult to apply in a systematic way

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Encoder, Tristate Driver

Encoder, Tristate Driver. Outline. Review: demo decoder FPGA example Encoder Demo Encoder, problems Encoder using for loop Priority Decoder Application of Priority Decoder Tristate Buffer Implementation of a MUX using Tri-state buffer. Definition of an Encoder. 2 n input lines

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NAND, NOR, and EXOR (more primitive logical gates)

NAND, NOR, and EXOR (more primitive logical gates). CS 147 - Computer Architecture David Mayer. Uses for NAND, NOR, and EXOR gates. Control systems, such as for air conditioning and automobiles. Circuit boards, for on-board logic. Internally, in more complex integrated circuit chips.

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Homework

Homework. Reading Tokheim, Section 5-1, 5-2, 5-3, 5-7, 5-8 Machine Projects Continue on MP4 Labs Continue labs with your assigned section. Designing Logic Circuits. We want to be able to design a combinational logic circuit from a truth table methodically Sum of Products Product of Sums

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Lecture 3

Lecture 3. Karnaugh Map Chapter 2 Jack Ou , Ph.D. Home Alarm Logic. Home Alarm Truth Table. Sum of Products Equation. Parts 12 inverters 3 2-input AND gates for each 4-input AND gate. Therefore, 24 2-input AND gates. 7 2-input OR gates. NAND Based Logic Gates.

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ITEC 352

ITEC 352. Lecture 4 Boolean logic / Karnaugh Maps. Review. Truth tables Conversion between Multiplexers. Outline. Multiplexers Math Karnaugh Maps Minterm / Maxterm Relationship to gates. Multiplexers. Purpose? Construction using gates. Demultiplexer.

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CS250: Computer Architecture Midterm Review

CS250: Computer Architecture Midterm Review. Prof. Chris Clifton February 28, 2007. Grading. 10%: Written assignments (equally weighted, lowest score dropped) 33%: Labs (equally weighted, lowest score dropped) 16%: Midterm Exam 5%: Project 1 12%: Project 2 22%: Final Exam

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Karnaugh map

Karnaugh map . Introduction Strategy for Minimization Minimization of Product-of-Sums Forms Minimization of More Complex Expressions Don't care Terms . Introduction. Why karnaugh map Example (With Boolean algebra). W = A + . B = A . ( B + ) + . B

412 views • 10 slides