a ridiculously brief overview of combinational logic
play

A Ridiculously Brief Overview of Combinational Logic Design These - PDF document

May 08, 2023 •222 likes •268 views

5DV008 Computer Architecture Ume University Department of Computing Science Stephen J. Hegner Topic 3aux: Logic Design 11/18/09 1 5DV008 20091118 t:2C sl:1 Hegner UU A Ridiculously Brief Overview of Combinational Logic Design These

  1. 5DV008 Computer Architecture Umeå University Department of Computing Science Stephen J. Hegner Topic 3aux: Logic Design 11/18/09 1 5DV008 20091118 t:2C sl:1 Hegner UU A Ridiculously Brief Overview of Combinational Logic Design � These slides provide a brief overview of combinational logic. � They are limited to the ideas absolutely needed for the course. � For a more detailed presentation consult Appendix C on the CD which comes with the course text. 5DV008 t3:aux sl:2 2009-11-18 Hegner UU Types of Logic Circuits � Combinational logic is used to realize memoryless functions. � Sequential logic is used to realize functions which have an internal state. � These slides focus upon combinational logic. 5DV008 t3:aux sl:3 2009-11-18 Hegner UU

  2. Basic Gates The AND gate The OR gate A B C A B C 0 0 0 0 0 0 0 1 1 0 1 0 1 0 0 1 0 1 1 1 1 1 1 1 The Inverter The Buffer A A B B A B 0 0 1 1 0 0 1 1 0 0 1 1 5DV008 t3:aux sl:4 2009-11-18 Hegner UU Further Gates The NAND gate The NOR gate A B C A B C 0 0 1 0 0 1 0 1 1 0 1 0 1 0 1 1 0 0 1 1 0 1 1 0 The XOR gate A B C 0 0 0 0 1 1 1 0 1 5DV008 t3:aux sl:5 2009-11-18 1 1 0 Hegner UU Compact Representation of Negation � Negation may be represented as a circle on another gate. � The following two circuits are equivalent. A B C 0 0 0 0 1 0 1 0 1 1 1 0 5DV008 t3:aux sl:6 2009-11-18 Hegner UU

  3. The Multiplexer � A multiplexer selects between two (or more) inputs. � S is the select line . � Shown is a two-input multiplexer. 5DV008 t3:aux sl:7 2009-11-18 Hegner UU A One-Bit Half Adder A B S C 0 0 0 0 0 1 1 0 1 0 1 0 1 1 0 1 5DV008 t3:aux sl:8 2009-11-18 Hegner UU A One-Bit Full Adder A B C in S C o u t 0 0 0 0 0 0 1 0 1 0 1 0 0 1 0 1 1 0 0 1 0 0 1 1 0 0 1 1 0 1 1 0 1 0 1 1 1 1 1 1 5DV008 t3:aux sl:9 2009-11-18 Hegner UU

  4. A Sequential Adder � An n-bit sequential adder may be realized by gluing n one-bit adders together. � This is not the best design because the critical path is proportional to n. 5DV008 t3:aux sl:10 2009-11-18 Hegner UU

Recommend

Combinational Logic (II) Prof. Usagi Recap: Combinational v.s. sequential logic Combinational

Combinational Logic (II) Prof. Usagi Recap: Combinational v.s. sequential logic Combinational

Combinational Logic (II) Prof. Usagi Recap: Combinational v.s. sequential logic Combinational logic The output is a pure function of its current inputs The output doesnt change regardless how many times the logic is triggered

1.33k views • 39 slides
IC220 Combinational Logic Slide Set #A2: Combinational and Multiplexors (mux)

IC220 Combinational Logic Slide Set #A2: Combinational and Multiplexors (mux)

Bigger Units of Combinational Logic Gates useful but fairly low level Easier to constructs circuits with higher-level building blocks instead: IC220 Combinational Logic Slide Set #A2: Combinational and Multiplexors (mux)

300 views • 6 slides
VHDL 2 Combinational Logic Circuits Reference: Roth/John Text: Chapter 2 Combinational logic

VHDL 2 Combinational Logic Circuits Reference: Roth/John Text: Chapter 2 Combinational logic

VHDL 2 Combinational Logic Circuits Reference: Roth/John Text: Chapter 2 Combinational logic -- Behavior can be specified as concurrent signal assignments -- These model concurrent operation of hardware elements entity Gates is port (a,

542 views • 20 slides
CS356 Unit 12 Processor Hardware Organization Pipelining 12.2 From combinational to sequential

CS356 Unit 12 Processor Hardware Organization Pipelining 12.2 From combinational to sequential

12.1 CS356 Unit 12 Processor Hardware Organization Pipelining 12.2 From combinational to sequential logic BASIC HW 12.3 Logic Circuits Combinational Combinational Logic Logic Outputs Inputs Performs a specific function (Usually

709 views • 57 slides
Sequential Circuits (2) Prof. Usagi Recap: Combinational v.s. sequential logic Combinational

Sequential Circuits (2) Prof. Usagi Recap: Combinational v.s. sequential logic Combinational

Sequential Circuits (2) Prof. Usagi Recap: Combinational v.s. sequential logic Combinational logic The output is a pure function of its current inputs The output doesnt change regardless how many times the logic is triggered

630 views • 51 slides
1. Basic combinational building blocks 2. Logic for arithmetic Common combinational circuits:

1. Basic combinational building blocks 2. Logic for arithmetic Common combinational circuits:

1. Basic combinational building blocks 2. Logic for arithmetic Common combinational circuits: encoders, decoders, multiplexers, adders, Arithmetic Logic Unit (printed together, separate sets of slides online) But first Recall: sum of

276 views • 13 slides
5DV118 Computer Organization and Architecture Ume University Department of Computing Science

5DV118 Computer Organization and Architecture Ume University Department of Computing Science

5DV118 Computer Organization and Architecture Ume University Department of Computing Science Stephen J. Hegner Topic 3aux: Logic Design 5DV008 20151111 t:2C sl:1 Hegner UU A Ridiculously Brief Overview of Combinational Logic Design

458 views • 10 slides
Combinational Logic Building Blocks Chapter 6 Combinational Logic Introduction Decoders Basic

Combinational Logic Building Blocks Chapter 6 Combinational Logic Introduction Decoders Basic

Combinational Logic Building Blocks Chapter 6 Combinational Logic Introduction Decoders Basic Decoder Decoders Decoders With Enable Decoders Truth Tables Decoders Implementation Decoders Designing with Decoders Any Boolean function

415 views • 29 slides
Lecture 2 Combinational Logic Circuits Reference: Roth/John Text: Chapter 2 1 Combinational

Lecture 2 Combinational Logic Circuits Reference: Roth/John Text: Chapter 2 1 Combinational

Lecture 2 Combinational Logic Circuits Reference: Roth/John Text: Chapter 2 1 Combinational logic -- Behavior can be specified as concurrent signal assignments -- These model concurrent operation of hardware elements entity Gates is port

639 views • 59 slides
Chapter 1 Combinational Logic Process Control Ch 1- 1 Flaxer Eli - Process Control Chapter

Chapter 1 Combinational Logic Process Control Ch 1- 1 Flaxer Eli - Process Control Chapter

Chapter 1 Combinational Logic Process Control Ch 1- 1 Flaxer Eli - Process Control Chapter Outline Documentation Standards for digital systems. Combinational Logic Design Structures : - Logic Gates - Decoders - Encoders -

583 views • 9 slides
Combinational Logic Prof. Usagi 2 Recap: Logic Design?

Combinational Logic Prof. Usagi 2 Recap: Logic Design?

Combinational Logic Prof. Usagi 2 Recap: Logic Design? https://www.britannica.com/technology/logic-design 3 Recap: Analog v.s. digital signals 0.5? 0.4? 0.45? Anything within this wide 0.445? 0.4445? or range is considered as 1

473 views • 43 slides
Combinational Logic M. Sachdev, Dept. of Electrical & Computer Engineering University of

Combinational Logic M. Sachdev, Dept. of Electrical & Computer Engineering University of

ECE 223 Digital Circuits and Systems Combinational Logic M. Sachdev, Dept. of Electrical & Computer Engineering University of Waterloo 1 Combinational Circuits consists of logic gates with outputs that are determined entirely by the

388 views • 18 slides
IC220 Gates Basic building blocks of logic Slide Set #A1: Digital Logic Combinational

IC220 Gates Basic building blocks of logic Slide Set #A1: Digital Logic Combinational

Appendix Goals Establish an understanding of the basics of logic design for future material IC220 Gates Basic building blocks of logic Slide Set #A1: Digital Logic Combinational Logic (Appendix A) Decoders, Multiplexors, PLAs

413 views • 6 slides
Lecture 2: Combinational Logic CSE 140: Components and Design Techniques for Digital Systems

Lecture 2: Combinational Logic CSE 140: Components and Design Techniques for Digital Systems

Lecture 2: Combinational Logic CSE 140: Components and Design Techniques for Digital Systems Diba Mirza Dept. of Computer Science and Engineering University of California, San Diego 1 Outline What is a combinational circuit?

656 views • 28 slides
Outline Combinational Element Combinational & sequential logic

Outline Combinational Element Combinational & sequential logic

Outline Combinational Element Combinational & sequential logic Single-cycle CPU Multi-cycle CPU

539 views • 16 slides
Introduction*To*Verilog*for* Combinational*Logic

Introduction*To*Verilog*for* Combinational*Logic

Introduction*To*Verilog*for* Combinational*Logic Verilog*is*a*language*used*for*simulation*and* synthesis*of*digital*logic. A*New*Extension*System*Verilog*also*Supports* new*features*including*Verification*of*Digital*Systems

641 views • 13 slides
Spiral 1 / Unit 1 Combinational vs. Sequential Logic Latency vs. Throughput (Pipelining) Digital

Spiral 1 / Unit 1 Combinational vs. Sequential Logic Latency vs. Throughput (Pipelining) Digital

1-1.1 Spiral 1 / Unit 1 Combinational vs. Sequential Logic Latency vs. Throughput (Pipelining) Digital Design Goals Logic Functions 1-1.2 Spiral Content Mapping Combinational Sequential System Level Implementation Spiral Theory Project

976 views • 66 slides
lecture 4 Combinational logic 2 - ROM - arithmetic circuits - arithmetic logic unit (ALU)

lecture 4 Combinational logic 2 - ROM - arithmetic circuits - arithmetic logic unit (ALU)

lecture 4 Combinational logic 2 - ROM - arithmetic circuits - arithmetic logic unit (ALU) January 20, 2016 Last lecture: truth tables, logic gates & circuits Recall multiplexor (selector) if S Y = B else Y = A We will

356 views • 31 slides
Outline Combinational & sequential logic Single-cycle CPU Multi-cycle CPU 1

Outline Combinational & sequential logic Single-cycle CPU Multi-cycle CPU 1

Outline Combinational & sequential logic Single-cycle CPU Multi-cycle CPU 1 Combinational Element combinational n n input output logic Output determined entirely by input Contains no storage element 2 Examples of

1.15k views • 94 slides
Lecture 13 Logistics HW5 due Wednesday Last lecture Finished combinational logic

Lecture 13 Logistics HW5 due Wednesday Last lecture Finished combinational logic

Lecture 13 Logistics HW5 due Wednesday Last lecture Finished combinational logic Introduction to sequential logic and systems Today Finish the example from last time Latches Flip-flops Fli fl CSE370, Lecture 14

208 views • 9 slides
Datapath Components (3) Those Who Remember Things Prof. Usagi Recap: Combinational

Datapath Components (3) Those Who Remember Things Prof. Usagi Recap: Combinational

Datapath Components (3) Those Who Remember Things Prof. Usagi Recap: Combinational v.s. sequential logic Combinational logic The output is a pure function of its current inputs The output doesnt change regardless how many

564 views • 43 slides
Outcomes I know the difference between combinational and sequential logic and can name

Outcomes I know the difference between combinational and sequential logic and can name

1-8.1 1-8.2 Outcomes I know the difference between combinational and sequential logic and can name examples of each. I understand latency, throughput, and at least 1 technique to Spiral 1 / Unit 8 improve throughput I can identify

314 views • 18 slides
Outcomes I know the difference between combinational and sequential logic and can name

Outcomes I know the difference between combinational and sequential logic and can name

1-6.1 1-6.2 Outcomes I know the difference between combinational and sequential logic and can name examples of each. I understand latency, throughput, and at least 1 technique to Spiral 1 / Unit 6 improve throughput I can identify

346 views • 6 slides
Lecture 3: Combinational Logic Specification and Simplification: CSE 140: Components and Design

Lecture 3: Combinational Logic Specification and Simplification: CSE 140: Components and Design

Lecture 3: Combinational Logic Specification and Simplification: CSE 140: Components and Design Techniques for Digital Systems Diba Mirza Dept. of Computer Science and Engineering University of California, San Diego 1 What you should know

475 views • 20 slides

More recommend