Combinational Circuits

Jul 22, 2014

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Combinational Circuits. Feipei Lai flai@ntu.edu.tw National Taiwan University. Outline. Karnaugh map, Quine-McClusky algorithm Hardware description language CAD Tools for Multilevel Logic Synthesis Time response Hazards, Glitches.

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combinational circuits
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Combinational Circuits

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Combinational Circuits Feipei Lai flai@ntu.edu.tw National Taiwan University
Outline • Karnaugh map, Quine-McClusky algorithm • Hardware description language • CAD Tools for Multilevel Logic Synthesis • Time response • Hazards, Glitches

Combinational Circuits

Combinational Circuits. Dr. Bernard Chen Ph.D. University of Central Arkansas Fall 2009. Outline. Boolean Algebra Decoder Encoder . Boolean function and logic diagram. • Boolean algebra : Deals with binary variables and logic operations operating on those variables.

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Combinational Circuits

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Combinational Circuits

Combinational Circuits. Dr. Bernard Chen Ph.D. University of Central Arkansas Spring 2009. +. HALF-ADDER. x. y. C. S. • Half-adder : Performs the most basic digital arithmetic operation, that is, the addition of two binary numbers .

311 views • 11 slides

Combinational Circuits

Combinational Circuits. Chapter 3 S. Dandamudi. Introduction Multiplexers and demultiplexers Implementing logical functions Efficient implementation Decoders and encoders Decoder-OR implementations Comparators. Adders Half-adders Full-adders Programmable logic devices

724 views • 39 slides

Combinational Circuits

inputs. outputs. combinational logic. Combinational Circuits. The current outputs depend only on the current inputs. NAND. OR. AND. AND. NOR. AND. Combinational Circuits. Acyclic (i.e., feed-forward ) circuits are always combinational . 1. 1. 0. 1. 0. 0. 0. 1. 0. 1.

807 views • 50 slides

Combinational Circuits

Combinational Circuits. Combinatorial. Logic. Circuit. m Boolean Inputs. n Boolean Outputs. A combinational logic circuit has: A set of m Boolean inputs, A set of n Boolean outputs, and

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Combinational Circuits

Combinational Circuits. Binary Multiplier Circuit Decoders Encoders Multiplexers Demultiplexers. DECODERS. Two Types of Decoders. Active High Decoders Output of the decoder is expressed as active high. It generate min-terms Active Low Decoders

653 views • 36 slides

Combinational Circuits

Combinational Circuits. S. Sundar Kumar Iyer. Acknowledgement. Slides taken from http://bwrc.eecs.berkeley.edu/IcBook/index.htm which is the web-site of “Digital Integrated Circuit – A Design Perspective” by Rabaey, Chandrakasan, Nicolic. Outline. Static Circuits Complementary CMOS

1.03k views • 80 slides

Combinational Logic Circuits

Combinational Logic Circuits. Chapter 2 Mano and Kime. Combinational Logic Circuits. Binary Logic and Gates Boolean Algebra Standard Forms Map Simplification NAND and NOR Gates Exclusive-OR Gates Integrated Circuits. Digital Logic Gates. *. Gates with More than Two Inputs.

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COMBINATIONAL LOGIC CIRCUITS

x1. Z. x2. C.L. xn. COMBINATIONAL LOGIC CIRCUITS. Z = F ( x1, x2, ……., Xn ) F is a Binary Logic (BOOLEAN ) Function Knowing F Allows Straight Forward Direct Implementation of the C.L. Circuit. OBJECTIVES Learn Binary Logic and BOOLEAN Algebra

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Combinational Logic Circuits

Combinational Logic Circuits. Chapter 2. Logic gates. Boolean algebra. Example. Example. 1. 2. 3. 4. 5. 6. Example. Standard form: M interms and maxterms. Example. Maxterms. Some properties. 1. 若有 n 個變數，則有 2 n 個項 (0~2 n -1) 2.

682 views • 45 slides

Combinational Logic Circuits

Combinational Logic Circuits. Binary Logic and Gates Logic Simulation Boolean Algebra Standard Forms Karnaugh Maps NAND/NOR and XOR gates. Read MK 29-80. Schematic for 4 Bit ALU. Invertor. AND Gate. EXOR Gate. OR Gate. 4. 2. 4. A. D. B. S. Simulation of 4 Bit ALU.

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COMBINATIONAL CIRCUITS

COMBINATIONAL CIRCUITS. 1. Combinational 2. Sequential. LOGIC CIRCUITS:. Combinational logic circuits (circuits without a memory): Combinational switching networks whose outputs depend only on the current inputs. Sequential logic circuits (circuits with memory):

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Combinational Logic Circuits

Combinational Logic Circuits. Is the logic circuit where the output always depends on the inputs irrespective of the previous state with out the feed back and memory. CLC. Min Term:. AND ed product of literals in which each variable appears exactly once, in true or complemented form.

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Combinational Circuits

Combinational Circuits. It is logical arrangement of logic gates. It means it is an logical arrangement of one or more logic gates in order to produce some outputs. There is no feedback path in combinational circuits. Feedback path means we can not connect the output of circuit with input.

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Combinational Circuits

Combinational Circuits. Analysis Diagram. Designing Combinational Circuits. In general we have to do following steps: Problem description Input/output of the circuit Define truth table Simplification for each output Draw the circuit. Half Adders. Maps for Full ADDER. SOP for ADDERS.

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COMBINATIONAL LOGIC CIRCUITS

3. COMBINATIONAL LOGIC CIRCUITS. LEACH, MALVINO & SAHA. Boolean Laws and Theorem. Basic Laws The Commutative Laws A+B=B+A AB=BA The Associative laws A+(B+C)=(A+B)+C A(BC)=(AB)C The Distributive law A(B+C)=AB+AC. Boolean Laws and Theorem. OR Operations A+0=A A+A=A A+1=1

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Elementary Combinational Circuits

Elementary Combinational Circuits. Introduction Combinational circuits are built from logic gates Can realize arbitrary logical functions Goal is to design efficient circuits Also must keep in mind “extra-logical” properties. Elementary Combinational Circuits.

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Combinational circuits

Inputs. Combinational circuit. Outputs. Combinational circuits. So far we’ve just worked with combinational circuits , where applying the same inputs always produces the same outputs. This corresponds to a mathematical function, where every input has a single, unique output.

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Combinational Circuits

Combinational Circuits. Dr. Bernard Chen Ph.D. University of Central Arkansas. Outline. Boolean Algebra Decoder Encoder MUX. History: Computer and the Rationalist. Modern research issues in AI are formed and evolve through a combination of historical, social and cultural pressures.

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Combinational Circuits

Combinational Circuits. Alexander Titov 10/27/2012. Layers of Abstraction in Computes Science (CS). Application. Algorithms. Programming Language. Operating System. Instruction Set Architecture. Microarchitecture. Gates/Register-Transfer Level (RTL). More about logical circuits.

328 views • 13 slides

Combinational Logic Circuits

Combinational Logic Circuits. Reference: M. Mano, C. Kime, “Logic and Computer Design Fundamentals”, Chapter 2. Basic Logic Gates. Logic Function. Gate Symbol. Logic Expression. Truth Table. Basic Logic Gates with Inverted Outputs. Logic Gates with more than two inputs.

718 views • 24 slides

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