8. Design of Adders. Jacob Abraham. Department of Electrical and Computer Engineering The University of Texas at Austin VLSI Design Fall 2017
|
|
|
- Bruce O’Neal’
- 6 years ago
- Views:
Transcription
1 8. Design of Adders Jacob Abraham Department of Electrical and Computer Engineering The University of Texas at Austin VLSI Design Fall 2017 September 27, 2017 ECE Department, University of Texas at Austin Lecture 8. Design of Adders Jacob Abraham, September 27, / 34
2 Review Example Question: What would be the difference in the delay determined using Elmore Delay and that computed using Logical Effort? ECE Department, University of Texas at Austin Lecture 8. Design of Adders Jacob Abraham, September 27, / 34 Find the (worst case) logical efforts of the different inputs in the CMOS circuit below. For an input, can the corresponding worst-case inverter be determined by inspection?
3 Single-Bit Addition Half Adder S = A B C out = A B Full Adder S = A B C C out = MAJ(A, B, C) A B C out S A B C C out S CE Department, University of Texas at Austin Lecture 8. Design of Adders Jacob Abraham, September 27, / 34
4 Full Adder Design I Brute force implementation from equations S = A B C C out = MAJ(A, B, C) ECE Department, University of Texas at Austin Lecture 8. Design of Adders Jacob Abraham, September 27, / 34
5 Full Adder Design II Factor S in terms of C out S = A B C + (A + B + C) C out Critical path is usually C to C out in ripple adder ECE Department, University of Texas at Austin Lecture 8. Design of Adders Jacob Abraham, September 27, / 34
6 Layout of Full Adder Clever layout circumvents usual line of diffusion Use wide transistors on critical path Eliminate output inverters ECE Department, University of Texas at Austin Lecture 8. Design of Adders Jacob Abraham, September 27, / 34
7 Full Adder Design III Complementary Pass Transistor Logic (CPL) Slightly faster, but more area ECE Department, University of Texas at Austin Lecture 8. Design of Adders Jacob Abraham, September 27, / 34
8 Ripple Carry Adder Simplest design: cascade full adders Critical path goes from C in to C out Design full adder to have fast carry (small delay for carry signal) ECE Department, University of Texas at Austin Lecture 8. Design of Adders Jacob Abraham, September 27, / 34
9 Deal with Inversions to Speed Up Carry Path Critical path passes through majority gate Built from minority + inverter Eliminate inverter and use inverting full adder ECE Department, University of Texas at Austin Lecture 8. Design of Adders Jacob Abraham, September 27, / 34
10 Carry Propagate Adders N-bit adder called CPA Each sum bit depends on all previous carries How do we compute all these carries quickly? CE Department, University of Texas at Austin Lecture 8. Design of Adders Jacob Abraham, September 27, / 34
11 Carry Propagate, Generate, Kill (P, G, K) For a full adder, define what happens to carries Generate: C out = 1, independent of C G = A B Propagate: C out = C P = A B Kill: C out = 0, independent of C K = A B Generate and Propagate for groups spanning i:j G i:j = G i:k + P i:k G k 1:j P i:j = P i:k P k 1:j Base Case G i:i G i = A i B i, G 0:0 = G 0 = C in P i:i P i = A i B i, P 0:0 = P 0 = 0 Sum: S i = P i G i 1:0 ECE Department, University of Texas at Austin Lecture 8. Design of Adders Jacob Abraham, September 27, / 34
12 Carry Propagate, Generate, Kill (P, G, K) For a full adder, define what happens to carries Generate: C out = 1, independent of C G = A B Propagate: C out = C P = A B Kill: C out = 0, independent of C K = A B Generate and Propagate for groups spanning i:j G i:j = G i:k + P i:k G k 1:j P i:j = P i:k P k 1:j Base Case G i:i G i = A i B i, G 0:0 = G 0 = C in P i:i P i = A i B i, P 0:0 = P 0 = 0 Sum: S i = P i G i 1:0 ECE Department, University of Texas at Austin Lecture 8. Design of Adders Jacob Abraham, September 27, / 34
13 PG Logic ECE Department, University of Texas at Austin Lecture 8. Design of Adders Jacob Abraham, September 27, / 34
14 Ripple Carry Adder Revisited in the PG Framework G i:0 = G i + P i G i 1:0 ECE Department, University of Texas at Austin Lecture 8. Design of Adders Jacob Abraham, September 27, / 34
15 Ripple Carry PG Diagram t ripple = t pg + (N 1)t AO + t xor ECE Department, University of Texas at Austin Lecture 8. Design of Adders Jacob Abraham, September 27, / 34
16 PG Diagram Notation ECE Department, University of Texas at Austin Lecture 8. Design of Adders Jacob Abraham, September 27, / 34
17 Carry-Skip Adder Carry-ripple is slow through all N stages Carry-skip allows carry to skip over groups of n bits Decision based on n-bit propagate signal ECE Department, University of Texas at Austin Lecture 8. Design of Adders Jacob Abraham, September 27, / 34
18 Carry-Skip PG Diagram For k n-bit groups (N = nk) t skip = t pg + [2(n 1) + (k 1)] t AO + t xor ECE Department, University of Texas at Austin Lecture 8. Design of Adders Jacob Abraham, September 27, / 34
19 Variable Group Size Delay grows as O( N) ECE Department, University of Texas at Austin Lecture 8. Design of Adders Jacob Abraham, September 27, / 34
20 Carry-Lookahead Adder (CLA) Carry-lookahead adder computes G i:0 for many bits in parallel Uses higher-valency cells with more than two inputs ECE Department, University of Texas at Austin Lecture 8. Design of Adders Jacob Abraham, September 27, / 34
21 CLA PG Diagram Higher Valency Cells ECE Department, University of Texas at Austin Lecture 8. Design of Adders Jacob Abraham, September 27, / 34
22 Carry-Select Adder Trick for critical paths dependent on late input X Precompute two possible outputs for X = 0, 1 Select proper output when X arrives Carry-select adder precomputes n-bit sums for both possible carries into n-bit group ECE Department, University of Texas at Austin Lecture 8. Design of Adders Jacob Abraham, September 27, / 34
23 Carry-Increment Adder Factor initial PG and final XOR out of carry-select t increment = t pg + [(n 1) + (k 1)] t AO + t xor Variable Group Size Buffer non-critical signals to reduce branching effort ECE Department, University of Texas at Austin Lecture 8. Design of Adders Jacob Abraham, September 27, / 34
24 Tree Adders Tree structures can be used to speed up computations Look at computing the XOR of 8 bits using 2-input XOR-gates If lookahead is good for adders, lookahead across lookahead! Recursive lookahead gives O(log N) delay Many variations on tree adders ECE Department, University of Texas at Austin Lecture 8. Design of Adders Jacob Abraham, September 27, / 34
25 Brent-Kung Adder ECE Department, University of Texas at Austin Lecture 8. Design of Adders Jacob Abraham, September 27, / 34
26 Sklansky Adder ECE Department, University of Texas at Austin Lecture 8. Design of Adders Jacob Abraham, September 27, / 34
27 Kogge-Stone Adder ECE Department, University of Texas at Austin Lecture 8. Design of Adders Jacob Abraham, September 27, / 34
28 Tree Adder Taxonomy Ideal N-bit tree adder would have L = log N logic levels Fanout never exceeding 2 No more than one wiring track between levels Describe adder with 3-D taxonomy (l, f, t) Logic levels: L + l Fanout: 2f + 1 Wiring tracks: 2 t Known tree adders sit on plane defined by l + f + t = L 1 ECE Department, University of Texas at Austin Lecture 8. Design of Adders Jacob Abraham, September 27, / 34
29 Tree Adder Taxonomy, Cont d ECE Department, University of Texas at Austin Lecture 8. Design of Adders Jacob Abraham, September 27, / 34
30 Han-Carlson Adder ECE Department, University of Texas at Austin Lecture 8. Design of Adders Jacob Abraham, September 27, / 34
31 Brent-Kung Adder ECE Department, University of Texas at Austin Lecture 8. Design of Adders Jacob Abraham, September 27, / 34
![Knowles [2,1,1,1] Adder ECE Department, University of Texas at Austin](/docs-images/72/67474964/images/32-0.jpg "Lecture 8. Design of Adders Jacob Abraham, September 27, 2017 31 / 34")
32 Knowles [2,1,1,1] Adder ECE Department, University of Texas at Austin Lecture 8. Design of Adders Jacob Abraham, September 27, / 34
33 Ladner-Fischer Adder ECE Department, University of Texas at Austin Lecture 8. Design of Adders Jacob Abraham, September 27, / 34
34 Tree Adder Taxonomy Revisited ECE Department, University of Texas at Austin Lecture 8. Design of Adders Jacob Abraham, September 27, / 34
35 Summary of Adders Adder architectures offer area/power/delay tradeoffs Choose the best one for your application Architecture Classification Max. fanout Logic levels Tracks Cells Ripple Carry N N Carry-skip(n=4) N/ N Carry-inc.(n=4) N/ N Brent-Kung (L-1,0,0) 2log 2 N N Sklansky (0,L-1,0) log 2 N N/ Nlog 2 N Kogge-Stone (0,0,L-1) log 2 N 2 N/2 Nlog 2 N ECE Department, University of Texas at Austin Lecture 8. Design of Adders Jacob Abraham, September 27, / 34
Lecture 11: Adder Design
Lecture : Adder Design Mark McDermott Electrical and omputer Engineering The University of Texas at Austin /9/8 EE46 lass Notes Single-it Addition Half Adder Full Adder A A S = AÅÅ out out S out = MAJ(
High Performance Carry Chains for FPGAs
High Performance Carry Chains for FPGAs Matthew M. Hosler Department of Electrical and Computer Engineering Northwestern University Abstract Carry chains are an important consideration for most computations,
Advanced Devices. Registers Counters Multiplexers Decoders Adders. CSC258 Lecture Slides Steve Engels, 2006 Slide 1 of 20
Advanced Devices Using a combination of gates and flip-flops, we can construct more sophisticated logical devices. These devices, while more complex, are still considered fundamental to basic logic design.
11. Sequential Elements
11. Sequential Elements Jacob Abraham Department of Electrical and Computer Engineering The University of Texas at Austin VLSI Design Fall 2017 October 11, 2017 ECE Department, University of Texas at Austin
DESIGN AND SIMULATION OF A CIRCUIT TO PREDICT AND COMPENSATE PERFORMANCE VARIABILITY IN SUBMICRON CIRCUIT
DESIGN AND SIMULATION OF A CIRCUIT TO PREDICT AND COMPENSATE PERFORMANCE VARIABILITY IN SUBMICRON CIRCUIT Sripriya. B.R, Student of M.tech, Dept of ECE, SJB Institute of Technology, Bangalore Dr. Nataraj.
Computer Architecture and Organization
A-1 Appendix A - Digital Logic Computer Architecture and Organization Miles Murdocca and Vincent Heuring Appendix A Digital Logic A-2 Appendix A - Digital Logic Chapter Contents A.1 Introduction A.2 Combinational
Principles of Computer Architecture. Appendix A: Digital Logic
A-1 Appendix A - Digital Logic Principles of Computer Architecture Miles Murdocca and Vincent Heuring Appendix A: Digital Logic A-2 Appendix A - Digital Logic Chapter Contents A.1 Introduction A.2 Combinational
Introduction Actel Logic Modules Xilinx LCA Altera FLEX, Altera MAX Power Dissipation
Outline CPE 528: Session #12 Department of Electrical and Computer Engineering University of Alabama in Huntsville Introduction Actel Logic Modules Xilinx LCA Altera FLEX, Altera MAX Power Dissipation
Chapter Contents. Appendix A: Digital Logic. Some Definitions
A- Appendix A - Digital Logic A-2 Appendix A - Digital Logic Chapter Contents Principles of Computer Architecture Miles Murdocca and Vincent Heuring Appendix A: Digital Logic A. Introduction A.2 Combinational
Design and Analysis of Modified Fast Compressors for MAC Unit
Design and Analysis of Modified Fast Compressors for MAC Unit Anusree T U 1, Bonifus P L 2 1 PG Student & Dept. of ECE & Rajagiri School of Engineering & Technology 2 Assistant Professor & Dept. of ECE
128 BIT CARRY SELECT ADDER USING BINARY TO EXCESS-ONE CONVERTER FOR DELAY REDUCTION AND AREA EFFICIENCY
128 BIT CARRY SELECT ADDER USING BINARY TO EXCESS-ONE CONVERTER FOR DELAY REDUCTION AND AREA EFFICIENCY 1 Mrs.K.K. Varalaxmi, M.Tech, Assoc. Professor, ECE Department, 1varuhello@Gmail.Com 2 Shaik Shamshad
An Efficient 64-Bit Carry Select Adder With Less Delay And Reduced Area Application
An Efficient 64-Bit Carry Select Adder With Less Delay And Reduced Area Application K Allipeera, M.Tech Student & S Ahmed Basha, Assitant Professor Department of Electronics & Communication Engineering
Logic Design II (17.342) Spring Lecture Outline
Logic Design II (17.342) Spring 2012 Lecture Outline Class # 03 February 09, 2012 Dohn Bowden 1 Today s Lecture Registers and Counters Chapter 12 2 Course Admin 3 Administrative Admin for tonight Syllabus
An optimized implementation of 128 bit carry select adder using binary to excess-one converter for delay reduction and area efficiency
Journal From the SelectedWorks of Journal December, 2014 An optimized implementation of 128 bit carry select adder using binary to excess-one converter for delay reduction and area efficiency P. Manga
COMPUTATIONAL REDUCTION LOGIC FOR ADDERS
COMPUTATIONAL REDUCTION LOGIC FOR ADDERS 1 R. Shanmukha Sandeep, 1 P.V. Anusha Unni, 2 M. Siva Kumar, 2 Syed Inthiyaz 1 shanmuksandeep@gmail.com, 1 anushaunni.auau@gmail.com, 2 siva4580@kluniversity.in,
SA4NCCP 4-BIT FULL SERIAL ADDER
SA4NCCP 4-BIT FULL SERIAL ADDER CLAUZEL Nicolas PRUVOST Côme SA4NCCP 4-bit serial full adder Table of contents Deeper inside the SA4NCCP architecture...3 SA4NCCP characterization...9 SA4NCCP capabilities...12
ISSN:
427 AN EFFICIENT 64-BIT CARRY SELECT ADDER WITH REDUCED AREA APPLICATION CH PALLAVI 1, VSWATHI 2 1 II MTech, Chadalawada Ramanamma Engg College, Tirupati 2 Assistant Professor, DeptofECE, CREC, Tirupati
Introduction to Digital Logic Missouri S&T University CPE 2210 Exam 3 Logistics
Introduction to Digital Logic Missouri S&T University CPE 2210 Exam 3 Logistics Egemen K. Çetinkaya Egemen K. Çetinkaya Department of Electrical & Computer Engineering Missouri University of Science and
A Review on Hybrid Adders in VHDL Payal V. Mawale #1, Swapnil Jain *2, Pravin W. Jaronde #3
A Review on Hybrid Adders in VHDL Payal V. Mawale #1, Swapnil Jain *2, Pravin W. Jaronde #3 #1 Electronics & Communication, RTMNU. *2 Electronics & Telecommunication, RTMNU. #3 Electronics & Telecommunication,
Implementation of Low Power and Area Efficient Carry Select Adder
International Journal of Engineering Science Invention ISSN (Online): 2319 6734, ISSN (Print): 2319 6726 Volume 3 Issue 8 ǁ August 2014 ǁ PP.36-48 Implementation of Low Power and Area Efficient Carry Select
Midterm Exam 15 points total. March 28, 2011
Midterm Exam 15 points total March 28, 2011 Part I Analytical Problems 1. (1.5 points) A. Convert to decimal, compare, and arrange in ascending order the following numbers encoded using various binary
A High-Speed Low-Power Modulo 2 n +1 Multiplier Design Using Carbon-Nanotube Technology
A High-Speed Low-Power Modulo 2 n +1 Multiplier Design Using Carbon-Nanotube Technology A Thesis Presented by He Qi to The Department of Electrical and Computer Engineering in partial fulfillment of the
A HIGH SPEED CMOS INCREMENTER/DECREMENTER CIRCUIT WITH REDUCED POWER DELAY PRODUCT
A HIGH SPEED CMOS INCREMENTER/DECREMENTER CIRCUIT WITH REDUCED POWER DELAY PRODUCT P.BALASUBRAMANIAN DR. R.CHINNADURAI Department of Electronics and Communication Engineering National Institute of Technology,
EECS 270 Midterm 1 Exam Closed book portion Winter 2017
EES 270 Midterm 1 Exam losed book portion Winter 2017 Name: unique name: Sign the honor code: I have neither given nor received aid on this exam nor observed anyone else doing so. NOTES: 1. This part of
EEC 116 Fall 2011 Lab #5: Pipelined 32b Adder
EEC 116 Fall 2011 Lab #5: Pipelined 32b Adder Dept. of Electrical and Computer Engineering University of California, Davis Issued: November 2, 2011 Due: November 16, 2011, 4PM Reading: Rabaey Sections
128 BIT MODIFIED CARRY SELECT ADDER USING BINARY TO EXCESS-ONE CONVERTER
128 BIT MODIFIED CARRY SELECT ADDER USING BINARY TO EXCESS-ONE CONVERTER M.Srinivasaperumal 1, S.Pavithra 2, V.S.Kavya Lekshmi 3, K.MohammedArshad 4 1,2,3,4 Dept. of ECE, SNS College of Technology Coimbatore,(
DIGITAL TECHNICS. Dr. Bálint Pődör. Óbuda University, Microelectronics and Technology Institute
DIGITL TECHNICS Dr. álint Pődör Óbuda University, Microelectronics and Technology Institute 10. LECTURE (LOGIC CIRCUITS, PRT 2): MOS DIGITL CIRCUITS II 2016/2017 10. LECTURE: MOS DIGITL CIRCUITS II 1.
1. True/False Questions (10 x 1p each = 10p) (a) I forgot to write down my name and student ID number.
CprE 281: Digital Logic Midterm 2: Friday Oct 30, 2015 Student Name: Student ID Number: Lab Section: Mon 9-12(N) Mon 12-3(P) Mon 5-8(R) Tue 11-2(U) (circle one) Tue 2-5(M) Wed 8-11(J) Wed 6-9(Y) Thur 11-2(Q)
Implementation and Analysis of Area Efficient Architectures for CSLA by using CLA
Volume-6, Issue-3, May-June 2016 International Journal of Engineering and Management Research Page Number: 753-757 Implementation and Analysis of Area Efficient Architectures for CSLA by using CLA Anshu
MODULE 3. Combinational & Sequential logic
MODULE 3 Combinational & Sequential logic Combinational Logic Introduction Logic circuit may be classified into two categories. Combinational logic circuits 2. Sequential logic circuits A combinational
12-bit Wallace Tree Multiplier CMPEN 411 Final Report Matthew Poremba 5/1/2009
12-bit Wallace Tree Multiplier CMPEN 411 Final Report Matthew Poremba 5/1/2009 Project Overview This project was originally titled Fast Fourier Transform Unit, but due to space and time constraints, the
CHAPTER 6 ASYNCHRONOUS QUASI DELAY INSENSITIVE TEMPLATES (QDI) BASED VITERBI DECODER
80 CHAPTER 6 ASYNCHRONOUS QUASI DELAY INSENSITIVE TEMPLATES (QDI) BASED VITERBI DECODER 6.1 INTRODUCTION Asynchronous designs are increasingly used to counter the disadvantages of synchronous designs.
IN DIGITAL transmission systems, there are always scramblers
558 IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II: EXPRESS BRIEFS, VOL. 53, NO. 7, JULY 2006 Parallel Scrambler for High-Speed Applications Chih-Hsien Lin, Chih-Ning Chen, You-Jiun Wang, Ju-Yuan Hsiao,
CHAPTER 4: Logic Circuits
CHAPTER 4: Logic Circuits II. Sequential Circuits Combinational circuits o The outputs depend only on the current input values o It uses only logic gates, decoders, multiplexers, ALUs Sequential circuits
Design and Implementation of Low-Power and Area-Efficient for Carry Select Adder (Csla)
Design and Implementation of Low-Power and Area-Efficient for Carry Select Adder (Csla) M.Deepika Department of the Electronics and Communication Engineering, NITS, Hyderabad, AP, India. K.Srinivasa Reddy
Reconfigurable Architectures. Greg Stitt ECE Department University of Florida
Reconfigurable Architectures Greg Stitt ECE Department University of Florida How can hardware be reconfigurable? Problem: Can t change fabricated chip ASICs are fixed Solution: Create components that can
REPEAT EXAMINATIONS 2002
REPEAT EXAMINATIONS 2002 EE101 Digital Electronics Solutions Question 1. An engine has 4 fail-safe sensors. The engine should keep running unless any of the following conditions arise: o If sensor 2 is
Combinational vs Sequential
Combinational vs Sequential inputs X Combinational Circuits outputs Z A combinational circuit: At any time, outputs depends only on inputs Changing inputs changes outputs No regard for previous inputs
Notes on Digital Circuits
PHYS 331: Junior Physics Laboratory I Notes on Digital Circuits Digital circuits are collections of devices that perform logical operations on two logical states, represented by voltage levels. Standard
Integrated Circuit Design ELCT 701 (Winter 2017) Lecture 1: Introduction
1 Integrated Circuit Design ELCT 701 (Winter 2017) Lecture 1: Introduction Assistant Professor Office: C3.315 E-mail: eman.azab@guc.edu.eg 2 Course Overview Lecturer Teaching Assistant Course Team E-mail:
Chapter 4. Logic Design
Chapter 4 Logic Design 4.1 Introduction. In previous Chapter we studied gates and combinational circuits, which made by gates (AND, OR, NOT etc.). That can be represented by circuit diagram, truth table
Microprocessor Design
Microprocessor Design Principles and Practices With VHDL Enoch O. Hwang Brooks / Cole 2004 To my wife and children Windy, Jonathan and Michelle Contents 1. Designing a Microprocessor... 2 1.1 Overview
6.3 Sequential Circuits (plus a few Combinational)
6.3 Sequential Circuits (plus a few Combinational) Logic Gates: Fundamental Building Blocks Introduction to Computer Science Robert Sedgewick and Kevin Wayne Copyright 2005 http://www.cs.princeton.edu/introcs
EXPERIMENT 13 ITERATIVE CIRCUITS
EE 2449 Experiment 13 Revised 4/17/2017 CALIFORNIA STATE UNIVERSITY LOS ANGELES Department of Electrical and Computer Engineering EE-246 Digital Logic Lab EXPERIMENT 13 ITERATIVE CIRCUITS Text: Mano, Digital
Wire Delay and Switch Logic
Wire Delay and Switch Logic Somayyeh Koohi Department of Computer Engineering Adapted with modifications from lecture notes prepared by author Topics Wire delay Buffer insertion Crosstalk Switch logic
Pak. J. Biotechnol. Vol. 14 (Special Issue II) Pp (2017) Parjoona V. and P. Manimegalai
ANALYSIS OF AREA DELAY OPTIMIZATION OF IMPROVED SPARSE CHANNEL ADDER Prajoona Valsalan,2 and P. Manimegalai 2 2 Karpagam University, Coimbatore, Tamil Nadu, India. Dhofar University, Salalah, Sultanate
Long and Fast Up/Down Counters Pushpinder Kaur CHOUHAN 6 th Jan, 2003
1 Introduction Long and Fast Up/Down Counters Pushpinder Kaur CHOUHAN 6 th Jan, 2003 Circuits for counting both forward and backward events are frequently used in computers and other digital systems. Digital
Computer Systems Architecture
Computer Systems Architecture Fundamentals Of Digital Logic 1 Our Goal Understand Fundamentals and basics Concepts How computers work at the lowest level Avoid whenever possible Complexity Implementation
Half-Adders. Ch.5 Summary. Chapter 5. Thomas L. Floyd
Digital Fundamentals: A Systems Approach Functions of Combinational Logic Chapter 5 Half-Adders Basic rules of binary addition are performed by a half adder, which accepts two binary inputs (A and B) and
Logic and Computer Design Fundamentals. Chapter 7. Registers and Counters
Logic and Computer Design Fundamentals Chapter 7 Registers and Counters Registers Register a collection of binary storage elements In theory, a register is sequential logic which can be defined by a state
Sequencing. Lan-Da Van ( 范倫達 ), Ph. D. Department of Computer Science National Chiao Tung University Taiwan, R.O.C. Fall,
Sequencing ( 范倫達 ), Ph. D. Department of Computer Science National Chiao Tung University Taiwan, R.O.C. Fall, 2013 ldvan@cs.nctu.edu.tw http://www.cs.nctu.edu.tw/~ldvan/ Outlines Introduction Sequencing
Sequential Circuits: Latches & Flip-Flops
Sequential Circuits: Latches & Flip-Flops Overview Storage Elements Latches SR, JK, D, and T Characteristic Tables, Characteristic Equations, Eecution Tables, and State Diagrams Standard Symbols Flip-Flops
Computer Organization & Architecture Lecture #5
Computer Organization & Architecture Lecture #5 Shift Register A shift register is a register in which binary data can be stored and then shifted left or right when a shift signal is applied. Bits shifted
CHAPTER 4: Logic Circuits
CHAPTER 4: Logic Circuits II. Sequential Circuits Combinational circuits o The outputs depend only on the current input values o It uses only logic gates, decoders, multiplexers, ALUs Sequential circuits
An Efficient High Speed Wallace Tree Multiplier
Chepuri satish,panem charan Arur,G.Kishore Kumar and G.Mamatha 38 An Efficient High Speed Wallace Tree Multiplier Chepuri satish, Panem charan Arur, G.Kishore Kumar and G.Mamatha Abstract: The Wallace
Combinational Logic Design
Lab #2 Combinational Logic Design Objective: To introduce the design of some fundamental combinational logic building blocks. Preparation: Read the following experiment and complete the circuits where
VLSI Design: 3) Explain the various MOSFET Capacitances & their significance. 4) Draw a CMOS Inverter. Explain its transfer characteristics
1) Explain why & how a MOSFET works VLSI Design: 2) Draw Vds-Ids curve for a MOSFET. Now, show how this curve changes (a) with increasing Vgs (b) with increasing transistor width (c) considering Channel
MODEL QUESTIONS WITH ANSWERS THIRD SEMESTER B.TECH DEGREE EXAMINATION DECEMBER CS 203: Switching Theory and Logic Design. Time: 3 Hrs Marks: 100
MODEL QUESTIONS WITH ANSWERS THIRD SEMESTER B.TECH DEGREE EXAMINATION DECEMBER 2016 CS 203: Switching Theory and Logic Design Time: 3 Hrs Marks: 100 PART A ( Answer All Questions Each carries 3 Marks )
ECEN689: Special Topics in High-Speed Links Circuits and Systems Spring 2011
ECEN689: Special Topics in High-Speed Links Circuits and Systems Spring 2011 Lecture 9: TX Multiplexer Circuits Sam Palermo Analog & Mixed-Signal Center Texas A&M University Announcements & Agenda Next
Design of a Low Power Four-Bit Binary Counter Using Enhancement Type Mosfet
Design of a Low Power Four-Bit Binary Counter Using Enhancement Type Mosfet Praween Sinha Department of Electronics & Communication Engineering Maharaja Agrasen Institute Of Technology, Rohini sector -22,
gate symbols will appear in schematic Dierent of a circuit. Standard gate symbols have been diagram Figures 5-3 and 5-4 show standard shapes introduce
chapter is concerned with examples of basic This circuits including decoders, combinational xor gate and parity circuits, multiplexers, comparators, adders. Those basic building circuits frequently and
Digital Circuits I and II Nov. 17, 1999
Physics 623 Digital Circuits I and II Nov. 17, 1999 Digital Circuits I 1 Purpose To introduce the basic principles of digital circuitry. To understand the small signal response of various gates and circuits
NH 67, Karur Trichy Highways, Puliyur C.F, Karur District UNIT-III SEQUENTIAL CIRCUITS
NH 67, Karur Trichy Highways, Puliyur C.F, 639 114 Karur District DEPARTMENT OF ELETRONICS AND COMMUNICATION ENGINEERING COURSE NOTES SUBJECT: DIGITAL ELECTRONICS CLASS: II YEAR ECE SUBJECT CODE: EC2203
Notes on Digital Circuits
PHYS 331: Junior Physics Laboratory I Notes on Digital Circuits Digital circuits are collections of devices that perform logical operations on two logical states, represented by voltage levels. Standard
problem maximum score 1 28pts 2 10pts 3 10pts 4 15pts 5 14pts 6 12pts 7 11pts total 100pts
University of California at Berkeley College of Engineering Department of Electrical Engineering and Computer Sciences EECS150 J. Wawrzynek Spring 2002 4/5/02 Midterm Exam II Name: Solutions ID number:
WINTER 15 EXAMINATION Model Answer
Important Instructions to examiners: 1) The answers should be examined by key words and not as word-to-word as given in the model answer scheme. 2) The model answer and the answer written by candidate
ECE Lab 5. MSI Circuits - Four-Bit Adder/Subtractor with Decimal Output
ECE 201 - Lab 5 MSI Circuits - Four-Bit Adder/Subtractor with Decimal Output PURPOSE To familiarize students with Medium Scale Integration (MSI) technology, specifically adders. The student should also
Massachusetts Institute of Technology Department of Electrical Engineering and Computer Science Introductory Digital Systems Laboratory
Problem Set Issued: March 3, 2006 Problem Set Due: March 15, 2006 Massachusetts Institute of Technology Department of Electrical Engineering and Computer Science 6.111 Introductory Digital Systems Laboratory
Midterm Examination II
Midterm Examination II EE 203 - Digital Systems DESIGN (Fall 2015) MEF University Instructions Assigned: 6:30pm on December 17, 2015. Due: 8:00pm on December 17, 2015. Instructor: Şuayb Ş. Arslan. Name:
DESIGN OF HIGH PERFORMANCE, AREA EFFICIENT FIR FILTER USING CARRY SELECT ADDER
DESIGN OF HIGH PERFORMANCE, AREA EFFICIENT FIR FILTER USING CARRY SELECT ADDER G. Vijayalakshmi, A. Nithyalakshmi, J. Priyadarshini Assistant Professor, ECE, Prince Shri Venkateshwara Padmavathy Engg College,
ECE 555 DESIGN PROJECT Introduction and Phase 1
March 15, 1998 ECE 555 DESIGN PROJECT Introduction and Phase 1 Charles R. Kime Dept. of Electrical and Computer Engineering University of Wisconsin Madison Phase I Due Wednesday, March 24; One Week Grace
24. Scaling, Economics, SOI Technology
24. Scaling, Economics, SOI Technology Jacob Abraham Department of Electrical and Computer Engineering The University of Texas at Austin VLSI Design Fall 2017 December 4, 2017 ECE Department, University
Chapter 6. sequential logic design. This is the beginning of the second part of this course, sequential logic.
Chapter 6. sequential logic design This is the beginning of the second part of this course, sequential logic. equential logic equential circuits simple circuits with feedback latches edge-triggered flip-flops
CS 61C: Great Ideas in Computer Architecture
CS 6C: Great Ideas in Computer Architecture Combinational and Sequential Logic, Boolean Algebra Instructor: Alan Christopher 7/23/24 Summer 24 -- Lecture #8 Review of Last Lecture OpenMP as simple parallel
Sequential Design Basics
Sequential Design Basics Lecture 2 topics A review of devices that hold state A review of Latches A review of Flip-Flops Unit of text Set-Reset Latch/Flip-Flops/D latch/ Edge triggered D Flip-Flop 8/22/22
Design and Implementation of High Speed 256-Bit Modified Square Root Carry Select Adder
Design and Implementation of High Speed 256-Bit Modified Square Root Carry Select Adder Muralidharan.R [1], Jodhi Mohana Monica [2], Meenakshi.R [3], Lokeshwaran.R [4] B.Tech Student, Department of Electronics
Sequential logic. Circuits with feedback. How to control feedback? Sequential circuits. Timing methodologies. Basic registers
equential logic equential circuits simple circuits with feedback latches edge-triggered flip-flops Timing methodologies cascading flip-flops for proper operation clock skew Basic registers shift registers
CS302 Digital Logic Design Solved Objective Midterm Papers For Preparation of Midterm Exam
CS302 Digital Logic Design Solved Objective Midterm Papers For Preparation of Midterm Exam MIDTERM EXAMINATION Spring 2012 Question No: 1 ( Marks: 1 ) - Please choose one A SOP expression is equal to 1
Lecture 8: Sequential Logic
Lecture 8: Sequential Logic Last lecture discussed how we can use digital electronics to do combinatorial logic we designed circuits that gave an immediate output when presented with a given set of inputs
EEC 118 Lecture #9: Sequential Logic. Rajeevan Amirtharajah University of California, Davis Jeff Parkhurst Intel Corporation
EEC 118 Lecture #9: Sequential Logic Rajeevan Amirtharajah University of California, Davis Jeff Parkhurst Intel Corporation Outline Review: Static CMOS Logic Finish Static CMOS transient analysis Sequential
Sequential Logic. References:
Sequential Logic Reerences: Adapted rom: Digital Integrated Circuits: A Design Perspective, J. Rabaey UCB Principles o CMOS VLSI Design: A Systems Perspective, 2nd Ed., N. H. E. Weste and K. Eshraghian
Design and analysis of RCA in Subthreshold Logic Circuits Using AFE
Design and analysis of RCA in Subthreshold Logic Circuits Using AFE 1 MAHALAKSHMI M, 2 P.THIRUVALAR SELVAN PG Student, VLSI Design, Department of ECE, TRPEC, Trichy Abstract: The present scenario of the
ELEC 204 Digital System Design LABORATORY MANUAL
Elec 24: Digital System Design Laboratory ELEC 24 Digital System Design LABORATORY MANUAL : 4-bit hexadecimal Decoder & 4-bit Increment by N Circuit College of Engineering Koç University Important Note:
Low Power Area Efficient Parallel Counter Architecture
Low Power Area Efficient Parallel Counter Architecture Lekshmi Aravind M-Tech Student, Dept. of ECE, Mangalam College of Engineering, Kottayam, India Abstract: Counters are specialized registers and is
The main design objective in adder design are area, speed and power. Carry Select Adder (CSLA) is one of the fastest
ISSN: 0975-766X CODEN: IJPTFI Available Online through Research Article www.ijptonline.com IMPLEMENTATION OF FAST SQUARE ROOT SELECT WITH LOW POWER CONSUMPTION V.Elanangai*, Dr. K.Vasanth Department of
cascading flip-flops for proper operation clock skew Hardware description languages and sequential logic
equential logic equential circuits simple circuits with feedback latches edge-triggered flip-flops Timing methodologies cascading flip-flops for proper operation clock skew Basic registers shift registers
nmos transistor Basics of VLSI Design and Test Solution: CMOS pmos transistor CMOS Inverter First-Order DC Analysis CMOS Inverter: Transient Response
nmos transistor asics of VLSI Design and Test If the gate is high, the switch is on If the gate is low, the switch is off Mohammad Tehranipoor Drain ECE495/695: Introduction to Hardware Security & Trust
Research Article Low Power 256-bit Modified Carry Select Adder
Research Journal of Applied Sciences, Engineering and Technology 8(10): 1212-1216, 2014 DOI:10.19026/rjaset.8.1086 ISSN: 2040-7459; e-issn: 2040-7467 2014 Maxwell Scientific Publication Corp. Submitted:
MUHAMMAD NAEEM LATIF MCS 3 RD SEMESTER KHANEWAL
1. A stage in a shift register consists of (a) a latch (b) a flip-flop (c) a byte of storage (d) from bits of storage 2. To serially shift a byte of data into a shift register, there must be (a) one click
March 13, :36 vra80334_appe Sheet number 1 Page number 893 black. appendix. Commercial Devices
March 13, 2007 14:36 vra80334_appe Sheet number 1 Page number 893 black appendix E Commercial Devices In Chapter 3 we described the three main types of programmable logic devices (PLDs): simple PLDs, complex
Efficient Architecture for Flexible Prescaler Using Multimodulo Prescaler
Efficient Architecture for Flexible Using Multimodulo G SWETHA, S YUVARAJ Abstract This paper, An Efficient Architecture for Flexible Using Multimodulo is an architecture which is designed from the proposed
COSC 243. Sequential Logic. COSC 243 (Computer Architecture) Lecture 5 - Sequential Logic 1
COC 243 equential Logic COC 243 (Computer Architecture) Lecture 5 - equential Logic 1 Overview Last Lecture This Lecture equential logic circuits ource: Chapter 11 (10 th edition) Next Lecture Computer
Design And Implimentation Of Modified Sqrt Carry Select Adder On FPGA
Design And Implimentation Of Modified Sqrt Carry Select Adder On FPGA Ch. Pavan kumar #1, V.Narayana Reddy, *2, R.Sravanthi *3 #Dept. of ECE, PBR VIT, Kavali, A.P, India #2 Associate.Proffesor, Department
ECE321 Electronics I
ECE321 Electronics I Lecture 25: Sequential Logic: Flip-flop Payman Zarkesh-Ha Office: ECE Bldg. 230B Office hours: Tuesday 2:00-3:00PM or by appointment E-mail: pzarkesh.unm.edu Slide: 1 Review of Last
A Review of logic design
Chapter 1 A Review of logic design 1.1 Boolean Algebra Despite the complexity of modern-day digital circuits, the fundamental principles upon which they are based are surprisingly simple. Boolean Algebra
Chapter 3. Boolean Algebra and Digital Logic
Chapter 3 Boolean Algebra and Digital Logic Chapter 3 Objectives Understand the relationship between Boolean logic and digital computer circuits. Learn how to design simple logic circuits. Understand how
DIGITAL CIRCUIT COMBINATORIAL LOGIC
DIGITAL CIRCUIT COMBINATORIAL LOGIC Logic levels: one zero true false high low CMOS logic levels: 1 => 0.7 V DD 0.4 V DD = noise margin 0 =< 0.3 V DD Positive logic: high = 1 = true low = 0 = false Negative
Why FPGAs? FPGA Overview. Why FPGAs?
Transistor-level Logic Circuits Positive Level-sensitive EECS150 - Digital Design Lecture 3 - Field Programmable Gate Arrays (FPGAs) January 28, 2003 John Wawrzynek Transistor Level clk clk clk Positive
ECE 263 Digital Systems, Fall 2015
ECE 263 Digital Systems, Fall 2015 REVIEW: FINALS MEMORY ROM, PROM, EPROM, EEPROM, FLASH RAM, DRAM, SRAM Design of a memory cell 1. Draw circuits and write 2 differences and 2 similarities between DRAM
Combinational Logic Gates
Combinational Logic Gates Somayyeh Koohi Department of Computer Engineering Adapted with modifications from lecture notes prepared by author Topics Combinational logic functions Static complementary logic