 We can use an algebraic description of the circuit ’ s functional behavior in the analysis of a larger system that includes the circuit.  We can determine.

Slides:

Advertisements

Similar presentations

5.5 Encoders A encoder is a multiple-input, multiple-output logic circuit that converts coded inputs into coded outputs, where the input and output codes.

Advertisements

5.4 Decoders A decoder is a multiple-input, multiple-output logic circuit that converts coded inputs into coded outputs, where the input and output codes.

Limitations are  The number of inputs (n)  The number of outputs (m)  The number of product terms (p) 5.3 Combinational PLDs ReturnNext Programmable.

1 Combinational Logic Design&Analysis. 2 Introduction We have learned all the prerequisite material: – Truth tables and Boolean expressions describe functions.

ReturnNext  Latch : a sequential device that watches all of its inputs continuously and changes its outputs at any time, independent of a clocking signal.

ECE 301 – Digital Electronics Circuit Design and Analysis (Lecture #9A) The slides included herein were taken from the materials accompanying Fundamentals.

ECE 331 – Digital System Design Boolean Algebra (Lecture #3) The slides included herein were taken from the materials accompanying Fundamentals of Logic.

ECE 331 – Digital System Design

Logic Gate Level Part 2. Constructing Boolean expression from truth table First method: write nonparenthesized OR of ANDs Each AND is a 1 in the result.

MULTI-LEVEL GATE NETWORKS

SYEN 3330 Digital SystemsJung H. Kim Chapter SYEN 3330 Digital Systems Chapter 2 – Part 4.

08/07/041 CSE-221 Digital Logic Design (DLD) Lecture-8:

Chapter 2 – Combinational Logic Circuits Part 1 – Gate Circuits and Boolean Equations Logic and Computer Design Fundamentals.

EE365 Boolean algebra Combinational-circuit analysis.

1 EE 365 Combinational-Circuit Synthesis. 2 Combinational-Circuit Analysis Combinational circuits -- outputs depend only on current inputs (not on history).

EECC341 - Shaaban #1 Lec # 5 Winter Switching Algebra: Principle of Duality Any theorem or identity in switching algebra remains true if.

 Analysis and Synthesis:  Analysis start with a logic diagram and proceed to a formal description of the function performed by that circuit, such as.

5.8 Exclusive-OR Gates and Parity Circuits ReturnNext Exclusive-OR(XOR) Gates Exclusive-NOR(XNOR) Gates x ⊕ y=x · y+x · y x ⊙ y=x · y+x · y

Example: Given a 4-bit input combination N=N 3 N 2 N 1 N 0, this function produces a 1 output for N=1,2,3,5,7,11,13, and 0 otherwise.  According to the.

3.1 Logic Signals and Gates Logic Signals ReturnNext  Logic Value: Many physical quantities can be represented two possible numbers or logic values —

Combinational Logic Circuits Reference: M. Mano, C. Kime, “Logic and Computer Design Fundamentals”, Chapter 2 Dr. Costas Kyriacou and Dr. Konstantinos.

ENEE244-02xx Digital Logic Design Lecture 7. Announcements Homework 3 due on Thursday. Review session will be held by Shang during class on Thursday.

1 EECC341 - Shaaban #1 Lec # 6 Winter Combinational Circuit Analysis Example Given this logic circuit we can : Find corresponding logic.

Gates CS105. Electrical Signals Transmission of data Any electrical signal has a level of voltage – Interpretation of 1s and 0s Generally speaking: –

A hazard is said to exist when a circuit has the possibility of producing such a glitch. 4.4 Timing Hazards ReturnNext Because of circuit delays, the transient.

3. Flip-flops ReturnNext 8.1 Sequential-Circuit Documentation Standards As a whole, basic documentation standards include signal naming, logic symbols,

Unit 8 Combinational Circuit Design and Simulation Using Gates Ku-Yaw Chang Assistant Professor, Department of Computer Science.

2.7 NAND and NOR logic networks

Unit 7 Multi-Level Gate Circuits / NAND and NOR Gates Ku-Yaw Chang Assistant Professor, Department of Computer Science and Information.

KU College of Engineering Elec 204: Digital Systems Design

Combinational Logic Design CS341 Digital Logic and Computer Organization F2003.

ECE 331 – Digital System Design

1 EE121 John Wakerly Lecture #4 Combinational-Circuit Synthesis ABEL.

Ch 4. Combinational Logic Design Principles Combinational Logic Circuit –Outputs depend only on its current inputs –No feedback loop Sequential Logic Circuit.

Charles Kime & Thomas Kaminski © 2008 Pearson Education, Inc. Circuit Optimization Logic and Computer Design Fundamentals.

1 ENGR 254 Lecture DeMorgan Symbol Equivalence.

Boolean Algebra Combinational-Circuit Analysis We analyze a combinational logic circuit by obtaining a formal description of its logic function. Once.

ECE 331 – Digital System Design Circuit Design and Analysis (Lecture #9A) The slides included herein were taken from the materials accompanying Fundamentals.

Logic Design CS221 1 st Term Logic-Circuit Implementation Cairo University Faculty of Computers and Information.

ACOE1611 Combinational Logic Circuits Reference: M. Mano, C. Kime, “Logic and Computer Design Fundamentals”, Chapter 2.

ECE 3110: Introduction to Digital Systems Combinational-Circuit Synthesis.

ECE 3110: Introduction to Digital Systems

Implementation of SOP/POS Expressions

Chap 2. Combinational Logic Circuits

+ CS 325: CS Hardware and Software Organization and Architecture Gates and Boolean Algebra Part 3.

1 Lect # 2 Boolean Algebra and Logic Gates Boolean algebra defines rules for manipulating symbolic binary logic expressions. –a symbolic binary logic expression.

ECE 3110: Introduction to Digital Systems Chapter #4 Review.

CS151 Introduction to Digital Design Chapter Map Simplification.

Topic 4 – Switching Circuits. Serial vs. Parallel Transmission Circuit elements can be connected in either a serial or parallel manner. Serial implies.

Karnaugh Maps (K-Maps)

BOOLEAN ALGEBRA LOGIC GATES. Introduction British mathematician George Boole( ) was successful in finding the link between logic and mathematics.

DeMorgan’s Theorem DeMorgan’s 2 nd Theorem The complement of a sum of variables is equal to the product of the complemented variables. A + B = A. B Applying.

Boolean or, Switching Algebra. Switching Algebra The two-valued Boolean algebra is also called “Switching algebra” by engineers and computer scientists.

1 CS 352 Introduction to Logic Design Lecture 4 Ahmed Ezzat Multi-level Gate Circuits and Combinational Circuit Design Ch-7 + Ch-8.

Dr. ClincyLecture Slide 1 CS Chapter 3 (3A and ) Part 2 of 8 Dr. Clincy Professor of CS.

Circuit Synthesis A logic function can be represented in several different forms:  Truth table representation  Boolean equation  Circuit schematic 

CHAPTER 13 Digital Logic Circuits. Figure Voltage analog of internal combustion engine in-cylinder pressure Figure 13.1.

Lecture 1 Gunjeet kaur Dronacharya group of institutions.

Digital Systems Design 1 Signal Expressions Multiply out: F = ((X + Y)  Z) + (X  Y  Z) = (X  Z) + (Y  Z) + (X  Y  Z)

Boolean Algebra and Logic Gates COE 202 Digital Logic Design Dr. Muhamed Mudawar King Fahd University of Petroleum and Minerals.

ECE 2110: Introduction to Digital Systems

Combinational Logic Circuits

ECE 2110: Introduction to Digital Systems

Waveforms & Timing Diagrams

HDL Hardware Description Language

Gates Type AND denoted by X.Y OR denoted by X + Y NOR denoted by X + Y

Chapter 4 Gates and Circuits.

Truth tables Mrs. Palmer.

Presentation transcript:

 We can use an algebraic description of the circuit ’ s functional behavior in the analysis of a larger system that includes the circuit.  We can determine the behavior of the circuit for various input combinations. 4.2 Combinational-Circuit Analysis ReturnNext We analyze a combinational logic circuit by obtaining a formal description of its logic function.  We can manipulate an algebraic description to suggest different circuit structures for the logic function.  We can transform an algebraic description into a standard form corresponding to an available circuit structure.

4.2 Combinational-Circuit Analysis NextBackReturn 1. Given a logic diagram for a combinational circuit, obtain the truth table. X y Z F

4.2 Combinational-Circuit Analysis NextBackReturn x y z FRow

4.2 Combinational-Circuit Analysis NextBackReturn 2. Logic expressions for signal lines x y z y z

x y z F Two-level AND-OR circuit y x z z 4.2 Combinational-Circuit Analysis NextBackReturn 3. Sum-of-products expression

4.2 Combinational-Circuit Analysis NextBackReturn 4. Product-of-sums expression

F x y z y x z z Two-level OR-AND circuit 4.2 Combinational-Circuit Analysis 4. Product-of-sums expression BackReturn