Engr354: Digital Logic Circuits

Save this PDF as:
 WORD  PNG  TXT  JPG

Size: px
Start display at page:

Download "Engr354: Digital Logic Circuits"

Transcription

1 gr354: Digital Logic Circuits Chapter 6: Combinational Blocks Dr Curtis Nelson Chapter 6 Overview In this chapter you will learn about: Commonly used combinational sub-circuits; Multipleers, which can be used or selection o signals and or implementation o general logic unctions; Circuits or encoding, decoding, and code-conversion purposes. gr354 Chapter 6

2 Combinational Circuits Combinational circuits are those whose outputs are completely deined by the inputs, i.e. no memory is involved. Eamples include Basic gates like Nands, Nors and Inverters; Multipleers, de-multipleers; Decoders, encoders, code converters; Arithmetic circuits; Magnitude comparators; Parity checkers; Etc. Multipleers Devices that select one o many inputs to be routed to one output based on the binary value o select lines able used to enable or disable the complete unction; Select used to select which one o the inputs gets routed to the output. 2 n inputs i i n y output able select n select lines gr354 Chapter 6 2

3 2-to- Multipleer s s w w w w (a) Graphical symbol (b) Truth table w s w (c) Sum-o-products circuit 4-to- Multipleer s s s s w w w w (a) Graphical symbol (b) Truth table s s w w (c) Circuit gr354 Chapter 6 3

4 Using 2-to- Mu s to Build a 4-to- Mu s s w w Practical Application s 2 y (a) A 22 crossbar switch y s 2 (b) Implementation using multipleers gr354 Chapter 6 4

5 Multipleer Data Sheet 74HC53 Dual 4-Line to -Line Data Selectors/Multipleers Synthesis o Logic Functions Using Mu s Mu s can be used to synthesize logic unctions as ollows Create truth table; Compress as necessary; Implement. In general, an N variable unction can be implemented with one N- multipleer and at most, one inverter. gr354 Chapter 6 5

6 Eample 2-Input Function w w (a) Implementation using a 4-to- multipleer w w w (b) Modiied truth table (c) Circuit Eample 3-Input Majority Function w w (b) Circuit (a) Modiied truth table gr354 Chapter 6 6

7 Eample 3-Input Majority Function w w + w w 2 (b) Circuit (a) Truth table Eample 3-Input XOR Function w w (b) Circuit (a) Truth table gr354 Chapter 6 7

8 De-Multipleers A de-multipleer is a circuit which places the value o a single data input onto one o a number o outputs. w y w y Data An n-to-2 n Decoder A decoder is a device that activates one output, whose outputs are usually active low, based on the binary value o the inputs; A decoder is a minterm generator; able used to enable or disable the complete decoder unction. n inputs w w n y 2 n outputs able n gr354 Chapter 6 8

9 A 2-to-4 Decoder w w y y (a) Truth table w y w y w y w y (b) Graphic symbol (c) Logic circuit 3-to-8 Decoder Using 2-to-4 Decoders w y w y w w y y w y w y y 4 y 5 y 6 y 7 gr354 Chapter 6 9

10 Decoder Tree w w y y w w y y w y w y w w y w y y w y y 4 y 5 y 6 y 7 y 8 y 9 y y w y w y y 4 y 5 Decoder Data Sheet 74HC38 Single 3-Line to 8-Line Decoders/Demultipleers gr354 Chapter 6

11 Combinational Design with Decoders Implement the unction (a,b,c) = Sm(,3,4,5) using a decoder and random logic. Implement the unction (a,b,c) = P M(,,4,6) using a decoder and random logic. Combinational Design with Decoders and Mu s Design a digital circuit which has a 4-bit input, A(H) = A 3 A 2 A A and a single output Z(H). Z(H) is high i A(H) is eactly divisible b and A(H) is not equal to 2. Note that is not divisible b in this circuit. Use a 2 to 4 decoder, a 4 to MUX, and minimum logic gates, i necessary. Note that all inputs and outputs o the MUX and decoder are asserted HIGH. gr354 Chapter 6

12 A 2 n -to-n Binary coder An encoder is a device that outputs a binary code representing which one o many inputs is active. The outputs are usually active low. Priority encoder assigns priority to certain inputs Used in embedded computer systems to service interrupts. w 2 n inputs n y y n n outputs A 4-to-2 Binary coder w w y y (a) Truth table w w y y (b) Circuit gr354 Chapter 6 2

13 gr354 Chapter 6 3 d w y d y z w Truth Table or a 4-to-2 Priority coder Create a circuit using the ollowing truth table or a 4-to-2 priority encoder (z is an output that is asserted whenever any output is asserted). w a b w c d e g (c) Truth table c e (a) Code converter w a w b c d e g a g b d (b) 7-segment display BCD to 7-segment Code Converter

14 A Four-bit Magnitude Comparator a 3 b 3 i 3 a 2 b 2 a b i 2 i AeqB a b i AltB AgtB Arithmetic Logic Units (74HC38 ALU) gr354 Chapter 6 4

15 Summary In this chapter you learned about: Commonly used combinational sub-circuits; Multipleers, which can be used or selection o signals and or implementation o general logic unctions; Circuits or encoding, decoding, and code-conversion purposes. gr354 Chapter 6 5

Combinational-Circuit Building Blocks

Combinational-Circuit Building Blocks May 9, 24 :4 vra6857_ch6 Sheet number Page number 35 black chapter 6 Combinational-Circuit Building Blocks Chapter Objectives In this chapter you will learn about: Commonly used combinational subcircuits

More information

Combinational circuits

Combinational circuits Combinational circuits Combinational circuits are stateless The outputs are functions only of the inputs Inputs Combinational circuit Outputs 3 Thursday, September 2, 3 Enabler Circuit (High-level view)

More information

1. True or False? A voltage level in the range 0 to 2 volts is interpreted as a binary 1.

1. True or False? A voltage level in the range 0 to 2 volts is interpreted as a binary 1. File: chap04, Chapter 04 1. True or False? A voltage level in the range 0 to 2 volts is interpreted as a binary 1. 2. True or False? A gate is a device that accepts a single input signal and produces one

More information

Sistemas Digitais I LESI - 2º ano

Sistemas Digitais I LESI - 2º ano Sistemas Digitais I LESI - 2º ano Lesson 6 - Combinational Design Practices Prof. João Miguel Fernandes (miguel@di.uminho.pt) Dept. Informática UNIVERSIDADE DO MINHO ESCOLA DE ENGENHARIA - PLDs (1) - The

More information

Experiment 5. Arithmetic Logic Unit (ALU)

Experiment 5. Arithmetic Logic Unit (ALU) Experiment 5 Arithmetic Logic Unit (ALU) Objectives: To implement and test the circuits which constitute the arithmetic logic circuit (ALU). Background Information: The basic blocks of a computer are central

More information

COMBINATIONAL CIRCUITS

COMBINATIONAL CIRCUITS COMBINATIONAL CIRCUITS http://www.tutorialspoint.com/computer_logical_organization/combinational_circuits.htm Copyright tutorialspoint.com Combinational circuit is a circuit in which we combine the different

More information

Gates, Circuits, and Boolean Algebra

Gates, Circuits, and Boolean Algebra Gates, Circuits, and Boolean Algebra Computers and Electricity A gate is a device that performs a basic operation on electrical signals Gates are combined into circuits to perform more complicated tasks

More information

Digital Logic Design. Basics Combinational Circuits Sequential Circuits. Pu-Jen Cheng

Digital Logic Design. Basics Combinational Circuits Sequential Circuits. Pu-Jen Cheng Digital Logic Design Basics Combinational Circuits Sequential Circuits Pu-Jen Cheng Adapted from the slides prepared by S. Dandamudi for the book, Fundamentals of Computer Organization and Design. Introduction

More information

The equation for the 3-input XOR gate is derived as follows

The equation for the 3-input XOR gate is derived as follows The equation for the 3-input XOR gate is derived as follows The last four product terms in the above derivation are the four 1-minterms in the 3-input XOR truth table. For 3 or more inputs, the XOR gate

More information

Combinational Logic Design

Combinational Logic Design Chapter 4 Combinational Logic Design The foundations for the design of digital logic circuits were established in the preceding chapters. The elements of Boolean algebra (two-element switching algebra

More information

Copyright Peter R. Rony 2009. All rights reserved.

Copyright Peter R. Rony 2009. All rights reserved. Experiment No. 1. THE DIGI DESIGNER Experiment 1-1. Socket Connections on the Digi Designer Experiment No. 2. LOGIC LEVELS AND THE 7400 QUADRUPLE 2-INPUT POSITIVE NAND GATE Experiment 2-1. Truth Table

More information

Problem Session 5. Overview. Part 1: An S-R Latch. Part 2: A D Latch

Problem Session 5. Overview. Part 1: An S-R Latch. Part 2: A D Latch Problem Session 5 Overview The most basic element of binary storage is the latch, consisting of 2 cross-coupled NAND (or NOR) gates. The D latch, with a write enable input, is a rudimentary storage element.

More information

Chapter 4. Gates and Circuits. Chapter Goals. Chapter Goals. Computers and Electricity. Computers and Electricity. Gates

Chapter 4. Gates and Circuits. Chapter Goals. Chapter Goals. Computers and Electricity. Computers and Electricity. Gates Chapter Goals Chapter 4 Gates and Circuits Identify the basic gates and describe the behavior of each Describe how gates are implemented using transistors Combine basic gates into circuits Describe the

More information

l What have discussed up until now & why: l C Programming language l More low-level then Java. l Better idea about what s really going on.

l What have discussed up until now & why: l C Programming language l More low-level then Java. l Better idea about what s really going on. CS211 Computer Architecture l Topics Digital Logic l Transistors (Design & Types) l Logic Gates l Combinational Circuits l K-Maps Class Checkpoint l What have discussed up until now & why: l C Programming

More information

Understanding Logic Design

Understanding Logic Design Understanding Logic Design ppendix of your Textbook does not have the needed background information. This document supplements it. When you write add DD R0, R1, R2, you imagine something like this: R1

More information

Upon completion of unit 1.1, students will be able to

Upon completion of unit 1.1, students will be able to Upon completion of unit 1.1, students will be able to 1. Demonstrate safety of the individual, class, and overall environment of the classroom/laboratory, and understand that electricity, even at the nominal

More information

United States Naval Academy Electrical and Computer Engineering Department. EC262 Exam 1

United States Naval Academy Electrical and Computer Engineering Department. EC262 Exam 1 United States Naval Academy Electrical and Computer Engineering Department EC262 Exam 29 September 2. Do a page check now. You should have pages (cover & questions). 2. Read all problems in their entirety.

More information

Lab Manual. Digital System Design (Pr): COT-215 Digital Electronics (P): IT-211

Lab Manual. Digital System Design (Pr): COT-215 Digital Electronics (P): IT-211 Lab Manual Digital System Design (Pr): COT-215 Digital Electronics (P): IT-211 Lab Instructions Several practicals / programs? Whether an experiment contains one or several practicals /programs One practical

More information

CHAPTER 3 Boolean Algebra and Digital Logic

CHAPTER 3 Boolean Algebra and Digital Logic CHAPTER 3 Boolean Algebra and Digital Logic 3.1 Introduction 121 3.2 Boolean Algebra 122 3.2.1 Boolean Expressions 123 3.2.2 Boolean Identities 124 3.2.3 Simplification of Boolean Expressions 126 3.2.4

More information

Chapter 2 Logic Gates and Introduction to Computer Architecture

Chapter 2 Logic Gates and Introduction to Computer Architecture Chapter 2 Logic Gates and Introduction to Computer Architecture 2.1 Introduction The basic components of an Integrated Circuit (IC) is logic gates which made of transistors, in digital system there are

More information

ENEE 244 (01**). Spring 2006. Homework 4. Due back in class on Friday, April 7.

ENEE 244 (01**). Spring 2006. Homework 4. Due back in class on Friday, April 7. ENEE 244 (**). Spring 26 Homework 4 Due back in class on Friday, April 7.. Implement the following Boolean expression with exclusive-or and AND gates only: F = AB'CD' + A'BCD' + AB'C'D + A'BC'D. F = AB

More information

Chapter 6 Digital Arithmetic: Operations & Circuits

Chapter 6 Digital Arithmetic: Operations & Circuits Chapter 6 Digital Arithmetic: Operations & Circuits Chapter 6 Objectives Selected areas covered in this chapter: Binary addition, subtraction, multiplication, division. Differences between binary addition

More information

This representation is compared to a binary representation of a number with N bits.

This representation is compared to a binary representation of a number with N bits. Chapter 11 Analog-Digital Conversion One of the common functions that are performed on signals is to convert the voltage into a digital representation. The converse function, digital-analog is also common.

More information

ENGIN 112 Intro to Electrical and Computer Engineering

ENGIN 112 Intro to Electrical and Computer Engineering ENGIN 112 Intro to Electrical and Computer Engineering Lecture 19 Sequential Circuits: Latches Overview Circuits require memory to store intermediate data Sequential circuits use a periodic signal to determine

More information

ELEC 2210 - EXPERIMENT 1 Basic Digital Logic Circuits

ELEC 2210 - EXPERIMENT 1 Basic Digital Logic Circuits Objectives ELEC - EXPERIMENT Basic Digital Logic Circuits The experiments in this laboratory exercise will provide an introduction to digital electronic circuits. You will learn how to use the IDL-00 Bit

More information

2011, The McGraw-Hill Companies, Inc. Chapter 4

2011, The McGraw-Hill Companies, Inc. Chapter 4 Chapter 4 4.1 The Binary Concept Binary refers to the idea that many things can be thought of as existing in only one of two states. The binary states are 1 and 0 The 1 and 0 can represent: ON or OFF Open

More information

Two-level logic using NAND gates

Two-level logic using NAND gates CSE140: Components and Design Techniques for Digital Systems Two and Multilevel logic implementation Tajana Simunic Rosing 1 Two-level logic using NND gates Replace minterm ND gates with NND gates Place

More information

FORDHAM UNIVERSITY CISC 3593. Dept. of Computer and Info. Science Spring, 2011. Lab 2. The Full-Adder

FORDHAM UNIVERSITY CISC 3593. Dept. of Computer and Info. Science Spring, 2011. Lab 2. The Full-Adder FORDHAM UNIVERSITY CISC 3593 Fordham College Lincoln Center Computer Organization Dept. of Computer and Info. Science Spring, 2011 Lab 2 The Full-Adder 1 Introduction In this lab, the student will construct

More information

Shift registers. 1.0 Introduction

Shift registers. 1.0 Introduction Shift registers 1.0 Introduction Shift registers are a type of sequential logic circuit, mainly for storage of digital data. They are a group of flip-flops connected in a chain so that the output from

More information

Design Example: Counters. Design Example: Counters. 3-Bit Binary Counter. 3-Bit Binary Counter. Other useful counters:

Design Example: Counters. Design Example: Counters. 3-Bit Binary Counter. 3-Bit Binary Counter. Other useful counters: Design Eample: ers er: a sequential circuit that repeats a specified sequence of output upon clock pulses. A,B,C,, Z. G, O, T, E, R, P, S,!.,,,,,,,7. 7,,,,,,,.,,,,,,,,,,,. Binary counter: follows the binary

More information

Programmable Logic Devices (PLDs)

Programmable Logic Devices (PLDs) Programmable Logic Devices (PLDs) Lesson Objectives: In this lesson you will be introduced to some types of Programmable Logic Devices (PLDs): PROM, PAL, PLA, CPLDs, FPGAs, etc. How to implement digital

More information

Engr354: Digital Logic Circuits

Engr354: Digital Logic Circuits Engr354: igital Circuits Chapter 7 Sequential Elements r. Curtis Nelson Sequential Elements In this chapter you will learn about: circuits that can store information; Basic cells, latches, and flip-flops;

More information

exclusive-or and Binary Adder R eouven Elbaz reouven@uwaterloo.ca Office room: DC3576

exclusive-or and Binary Adder R eouven Elbaz reouven@uwaterloo.ca Office room: DC3576 exclusive-or and Binary Adder R eouven Elbaz reouven@uwaterloo.ca Office room: DC3576 Outline exclusive OR gate (XOR) Definition Properties Examples of Applications Odd Function Parity Generation and Checking

More information

Lab 1: Study of Gates & Flip-flops

Lab 1: Study of Gates & Flip-flops 1.1 Aim Lab 1: Study of Gates & Flip-flops To familiarize with circuit implementations using ICs and test the behavior of different logic gates and Flip-flops. 1.2 Hardware Requirement a. Equipments -

More information

Systems I: Computer Organization and Architecture

Systems I: Computer Organization and Architecture Systems I: Computer Organization and Architecture Lecture 9 - Register Transfer and Microoperations Microoperations Digital systems are modular in nature, with modules containing registers, decoders, arithmetic

More information

2012-13 Department of Electronics & Communication

2012-13 Department of Electronics & Communication (A constituent college of Sri Siddhartha University) 2012-13 Department of Electronics & Communication LOGIC DESIGN LAB MANUAL III SEM BE Name : Sem :. Sec: Logic Design Lab Manual Contents Exp No Title

More information

NAND/NOR 1: 1 2: 4 3: 6 4: 8 5: 10 6: 11 7: 14 8: 18 9: 20 10: 24 11: 26 12: 28 13: BCD

NAND/NOR 1: 1 2: 4 3: 6 4: 8 5: 10 6: 11 7: 14 8: 18 9: 20 10: 24 11: 26 12: 28 13: BCD Table of Contents Experiment 1: Elementary Boolean Functions...1 Experiment 2: The Properties of Boolean Functions...4 Experiment 3: Theorems and Canonical Forms...6 Experiment 4: Two-Level Functions...8

More information

Programming Logic controllers

Programming Logic controllers Programming Logic controllers Programmable Logic Controller (PLC) is a microprocessor based system that uses programmable memory to store instructions and implement functions such as logic, sequencing,

More information

Boolean Algebra and Digital Circuits Part 3: Logic Gates and Combinatorial Circuits

Boolean Algebra and Digital Circuits Part 3: Logic Gates and Combinatorial Circuits Boolean Algebra and Digital Circuits Part 3: Logic Gates and Combinatorial Circuits Logic Gates a gate implements a simple boolean function such as AND, OR or NOT constructed using a few transistors basic

More information

Logic in Computer Science: Logic Gates

Logic in Computer Science: Logic Gates Logic in Computer Science: Logic Gates Lila Kari The University of Western Ontario Logic in Computer Science: Logic Gates CS2209, Applied Logic for Computer Science 1 / 49 Logic and bit operations Computers

More information

Chapter 2 Combinational Logic Circuits

Chapter 2 Combinational Logic Circuits Logic and Computer Design Fundamentals Chapter 2 Combinational Logic Circuits Part 3 Additional Gates and Circuits Charles Kime & Thomas Kaminski 2008 Pearson Education, Inc. Overview Part 1 Gate Circuits

More information

Digital Logic: Boolean Algebra and Gates

Digital Logic: Boolean Algebra and Gates Digital Logic: Boolean Algebra and Gates Textbook Chapter 3 CMPE2 Summer 28 Basic Logic Gates CMPE2 Summer 28 Slides by ADB 2 Truth Table The most basic representation of a logic function Lists the output

More information

BELS Digital IC Report

BELS Digital IC Report CMOS Digital IC Report 74HC00, Quad 2-Input NAND Gate DIP-14 3 - A 500 0.24 74HCT00, Quad 2-Input NAND Gate DIP-14 3 - A 501 0.36 74HC02, Quad 2 Input NOR DIP-14 3 - A 417 0.24 74HC04, Hex Inverter, buffered

More information

ASYNCHRONOUS COUNTERS

ASYNCHRONOUS COUNTERS LB no.. SYNCHONOUS COUNTES. Introduction Counters are sequential logic circuits that counts the pulses applied at their clock input. They usually have 4 bits, delivering at the outputs the corresponding

More information

5 Combinatorial Components. 5.0 Full adder. Full subtractor

5 Combinatorial Components. 5.0 Full adder. Full subtractor 5 Combatorial Components Use for data transformation, manipulation, terconnection, and for control: arithmetic operations - addition, subtraction, multiplication and division. logic operations - AND, OR,

More information

Chapter 1: Digital Systems and Binary Numbers

Chapter 1: Digital Systems and Binary Numbers Chapter 1: Digital Systems and Binary Numbers Digital age and information age Digital computers general purposes many scientific, industrial and commercial applications Digital systems telephone switching

More information

2011, The McGraw-Hill Companies, Inc. Chapter 3

2011, The McGraw-Hill Companies, Inc. Chapter 3 Chapter 3 3.1 Decimal System The radix or base of a number system determines the total number of different symbols or digits used by that system. The decimal system has a base of 10 with the digits 0 through

More information

Having read this workbook you should be able to: recognise the arrangement of NAND gates used to form an S-R flip-flop.

Having read this workbook you should be able to: recognise the arrangement of NAND gates used to form an S-R flip-flop. Objectives Having read this workbook you should be able to: recognise the arrangement of NAND gates used to form an S-R flip-flop. describe how such a flip-flop can be SET and RESET. describe the disadvantage

More information

Counters and Decoders

Counters and Decoders Physics 3330 Experiment #10 Fall 1999 Purpose Counters and Decoders In this experiment, you will design and construct a 4-bit ripple-through decade counter with a decimal read-out display. Such a counter

More information

1. Realization of gates using Universal gates

1. Realization of gates using Universal gates 1. Realization of gates using Universal gates Aim: To realize all logic gates using NAND and NOR gates. Apparatus: S. No Description of Item Quantity 1. IC 7400 01 2. IC 7402 01 3. Digital Trainer Kit

More information

Karnaugh Maps & Combinational Logic Design. ECE 152A Winter 2012

Karnaugh Maps & Combinational Logic Design. ECE 152A Winter 2012 Karnaugh Maps & Combinational Logic Design ECE 52A Winter 22 Reading Assignment Brown and Vranesic 4 Optimized Implementation of Logic Functions 4. Karnaugh Map 4.2 Strategy for Minimization 4.2. Terminology

More information

Chapter 4 Register Transfer and Microoperations. Section 4.1 Register Transfer Language

Chapter 4 Register Transfer and Microoperations. Section 4.1 Register Transfer Language Chapter 4 Register Transfer and Microoperations Section 4.1 Register Transfer Language Digital systems are composed of modules that are constructed from digital components, such as registers, decoders,

More information

Arithmetic Operations. Binary Adder. 4 Bit Ripple Carry Adder

Arithmetic Operations. Binary Adder. 4 Bit Ripple Carry Adder rithmetic Operations We will review the arithmetic building blocks we have previously used, and look at some new ones. ddition incrementer ddition/subtraction decrementer mparison F (,,C) = xor xor C inary

More information

Logic Gates & Operational Characteristics

Logic Gates & Operational Characteristics Logic Gates & Operational Characteristics NOR Gate as a Universal Gate The NOR gate is also used as a Universal Gate as the NOR Gate can be used in a combination to perform the function of a AND, OR and

More information

Standart TTL, Serie 74... Art.Gruppe 13.15. 1...

Standart TTL, Serie 74... Art.Gruppe 13.15. 1... Standart TTL, Serie 74... Art.Gruppe 13.15. 1... Standart TTL, Serie 74... 7400 Quad 2-Input Nand Gate (TP) DIL14 7402 Quad 2 Input Nor Gate (TP) DIL14 7403 Quad 2 Input Nand Gate (OC) DIL14 7404 Hex Inverter

More information

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. CHAPTER3 QUESTIONS MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. ) If one input of an AND gate is LOW while the other is a clock signal, the output

More information

DATA SHEETS DE COMPONENTES DA FAMÍLIA LÓGICA TTL GATES AND INVERTERS POSITIVES NAND GATES AND INVERTERS DESCRIÇÃO

DATA SHEETS DE COMPONENTES DA FAMÍLIA LÓGICA TTL GATES AND INVERTERS POSITIVES NAND GATES AND INVERTERS DESCRIÇÃO GATES AND INVERTERS POSITIVES NAND GATES AND INVERTERS Hex Invertes 74LS04 Quadruple 2 Inputs Gates 74LS00 Triple 3 Inputs Gates 74LS10 Dual 4 Inputs Gates 74LS20 8 Inputs Gates 74LS30 13 Inputs Gates

More information

Multiplexers Two Types + Verilog

Multiplexers Two Types + Verilog Multiplexers Two Types + Verilog ENEE 245: Digital Circuits and ystems Laboratory Lab 7 Objectives The objectives of this laboratory are the following: To become familiar with continuous ments and procedural

More information

ENGIN 112 Intro to Electrical and Computer Engineering

ENGIN 112 Intro to Electrical and Computer Engineering ENGIN 112 Intro to Electrical and omputer Engineering Lecture 11 NND and XOR Implementations Overview Developing NND circuits from K-maps Two-level implementations onvert from ND/OR to NND (again!) Multi-level

More information

The string of digits 101101 in the binary number system represents the quantity

The string of digits 101101 in the binary number system represents the quantity Data Representation Section 3.1 Data Types Registers contain either data or control information Control information is a bit or group of bits used to specify the sequence of command signals needed for

More information

Unit 4 Session - 15 Flip-Flops

Unit 4 Session - 15 Flip-Flops Objectives Unit 4 Session - 15 Flip-Flops Usage of D flip-flop IC Show the truth table for the edge-triggered D flip-flop and edge-triggered JK flip-flop Discuss some of the timing problems related to

More information

Module 3: Floyd, Digital Fundamental

Module 3: Floyd, Digital Fundamental Module 3: Lecturer : Yongsheng Gao Room : Tech - 3.25 Email : yongsheng.gao@griffith.edu.au Structure : 6 lectures 1 Tutorial Assessment: 1 Laboratory (5%) 1 Test (20%) Textbook : Floyd, Digital Fundamental

More information

2.0 Chapter Overview. 2.1 Boolean Algebra

2.0 Chapter Overview. 2.1 Boolean Algebra Thi d t t d ith F M k 4 0 2 Boolean Algebra Chapter Two Logic circuits are the basis for modern digital computer systems. To appreciate how computer systems operate you will need to understand digital

More information

ECE232: Hardware Organization and Design. Part 3: Verilog Tutorial. http://www.ecs.umass.edu/ece/ece232/ Basic Verilog

ECE232: Hardware Organization and Design. Part 3: Verilog Tutorial. http://www.ecs.umass.edu/ece/ece232/ Basic Verilog ECE232: Hardware Organization and Design Part 3: Verilog Tutorial http://www.ecs.umass.edu/ece/ece232/ Basic Verilog module ();

More information

Points Addressed in this Lecture

Points Addressed in this Lecture Points Addressed in this Lecture Lecture 3: Basic Logic Gates & Boolean Expressions Professor Peter Cheung Department of EEE, Imperial College London (Floyd 3.1-3.5, 4.1) (Tocci 3.1-3.9) What are the basic

More information

EE 261 Introduction to Logic Circuits. Module #2 Number Systems

EE 261 Introduction to Logic Circuits. Module #2 Number Systems EE 261 Introduction to Logic Circuits Module #2 Number Systems Topics A. Number System Formation B. Base Conversions C. Binary Arithmetic D. Signed Numbers E. Signed Arithmetic F. Binary Codes Textbook

More information

Chapter 2 Digital Components. Section 2.1 Integrated Circuits

Chapter 2 Digital Components. Section 2.1 Integrated Circuits Chapter 2 Digital Components Section 2.1 Integrated Circuits An integrated circuit (IC) is a small silicon semiconductor crystal, called a chip, containing the electronic components for the digital gates

More information

List of Experiment. 8. To study and verify the BCD to Seven Segments DECODER.(IC-7447).

List of Experiment. 8. To study and verify the BCD to Seven Segments DECODER.(IC-7447). G. H. RAISONI COLLEGE OF ENGINEERING, NAGPUR Department of Electronics & Communication Engineering Branch:-4 th Semester[Electronics] Subject: - Digital Circuits List of Experiment Sr. Name Of Experiment

More information

150127-Microprocessor & Assembly Language

150127-Microprocessor & Assembly Language Chapter 3 Z80 Microprocessor Architecture The Z 80 is one of the most talented 8 bit microprocessors, and many microprocessor-based systems are designed around the Z80. The Z80 microprocessor needs an

More information

Let s put together a Manual Processor

Let s put together a Manual Processor Lecture 14 Let s put together a Manual Processor Hardware Lecture 14 Slide 1 The processor Inside every computer there is at least one processor which can take an instruction, some operands and produce

More information

Practical Workbook Digital Logic Design / Logic Design & Switching Theory

Practical Workbook Digital Logic Design / Logic Design & Switching Theory Practical Workbook Digital Logic Design / Logic Design & Switching Theory Name : Year : Batch : Roll No : Department: Second edition - 2015 Dept. of Computer & Information Systems Engineering NED University

More information

Digital Systems Laboratory

Digital Systems Laboratory Digital Systems Laboratory Rev 1.2 Agust 2014 LIST OF EXPERIMENTS 1. INTRODUCTION TO LAB, USING MATERIALS 2. DIGITAL LOGIC GATES 3. INTRODUCTION TO PROTEUS 4. BINARY AND DECIMAL NUMBERS 5. CODE CONVERSION

More information

DIGITAL SYSTEM DESIGN LAB

DIGITAL SYSTEM DESIGN LAB EXPERIMENT NO: 7 STUDY OF FLIP FLOPS USING GATES AND IC S AIM: To verify various flip-flops like D, T, and JK. APPARATUS REQUIRED: Power supply, Digital Trainer kit, Connecting wires, Patch Chords, IC

More information

Introduction. Logic. Most Difficult Reading Topics. Basic Logic Gates Truth Tables Logical Functions. COMP370 Introduction to Computer Architecture

Introduction. Logic. Most Difficult Reading Topics. Basic Logic Gates Truth Tables Logical Functions. COMP370 Introduction to Computer Architecture Introduction LOGIC GATES COMP370 Introduction to Computer Architecture Basic Logic Gates Truth Tables Logical Functions Truth Tables Logical Expression Graphical l Form Most Difficult Reading Topics Logic

More information

8-bit 4-to-1 Line Multiplexer

8-bit 4-to-1 Line Multiplexer Project Part I 8-bit 4-to-1 Line Multiplexer Specification: This section of the project outlines the design of a 4-to-1 multiplexor which takes two 8-bit buses as inputs and produces a single 8-bit bus

More information

RAM & ROM Based Digital Design. ECE 152A Winter 2012

RAM & ROM Based Digital Design. ECE 152A Winter 2012 RAM & ROM Based Digital Design ECE 152A Winter 212 Reading Assignment Brown and Vranesic 1 Digital System Design 1.1 Building Block Circuits 1.1.3 Static Random Access Memory (SRAM) 1.1.4 SRAM Blocks in

More information

Digital Systems Based on Principles and Applications of Electrical Engineering/Rizzoni (McGraw Hill

Digital Systems Based on Principles and Applications of Electrical Engineering/Rizzoni (McGraw Hill Digital Systems Based on Principles and Applications of Electrical Engineering/Rizzoni (McGraw Hill Objectives: Analyze the operation of sequential logic circuits. Understand the operation of digital counters.

More information

ECE410 Design Project Spring 2008 Design and Characterization of a CMOS 8-bit Microprocessor Data Path

ECE410 Design Project Spring 2008 Design and Characterization of a CMOS 8-bit Microprocessor Data Path ECE410 Design Project Spring 2008 Design and Characterization of a CMOS 8-bit Microprocessor Data Path Project Summary This project involves the schematic and layout design of an 8-bit microprocessor data

More information

PROGRAMMABLE LOGIC CONTROLLERS Unit code: A/601/1625 QCF level: 4 Credit value: 15 OUTCOME 3 PART 1

PROGRAMMABLE LOGIC CONTROLLERS Unit code: A/601/1625 QCF level: 4 Credit value: 15 OUTCOME 3 PART 1 UNIT 22: PROGRAMMABLE LOGIC CONTROLLERS Unit code: A/601/1625 QCF level: 4 Credit value: 15 OUTCOME 3 PART 1 This work covers part of outcome 3 of the Edexcel standard module: Outcome 3 is the most demanding

More information

Binary Adders: Half Adders and Full Adders

Binary Adders: Half Adders and Full Adders Binary Adders: Half Adders and Full Adders In this set of slides, we present the two basic types of adders: 1. Half adders, and 2. Full adders. Each type of adder functions to add two binary bits. In order

More information

Latches and Flip-Flops characterestics & Clock generator circuits

Latches and Flip-Flops characterestics & Clock generator circuits Experiment # 7 Latches and Flip-Flops characterestics & Clock generator circuits OBJECTIVES 1. To be familiarized with D and JK flip-flop ICs and their characteristic tables. 2. Understanding the principles

More information

LOGICOS SERIE 4000. Precios sujetos a variación. Ref. Part # Descripción Precio Foto Ref. Quad 2-Input NOR Buffered B Series Gate / PDIP-14

LOGICOS SERIE 4000. Precios sujetos a variación. Ref. Part # Descripción Precio Foto Ref. Quad 2-Input NOR Buffered B Series Gate / PDIP-14 LOGICOS SERIE 4000 Precios sujetos a variación Ref. Part # Descripción Precio Foto Ref. A-6-1 CD4001 Quad 2-Input NOR Buffered B Series Gate / PDIP-14 $ 290 A-6-2 CD4001BCM Quad 2-Input NOR Buffered B

More information

Lecture 8: Synchronous Digital Systems

Lecture 8: Synchronous Digital Systems Lecture 8: Synchronous Digital Systems The distinguishing feature of a synchronous digital system is that the circuit only changes in response to a system clock. For example, consider the edge triggered

More information

Today s topics. Digital Computers. More on binary. Binary Digits (Bits)

Today s topics. Digital Computers. More on binary. Binary Digits (Bits) Today s topics! Binary Numbers! Brookshear.-.! Slides from Prof. Marti Hearst of UC Berkeley SIMS! Upcoming! Networks Interactive Introduction to Graph Theory http://www.utm.edu/cgi-bin/caldwell/tutor/departments/math/graph/intro

More information

COMBINATIONAL and SEQUENTIAL LOGIC CIRCUITS Hardware implementation and software design

COMBINATIONAL and SEQUENTIAL LOGIC CIRCUITS Hardware implementation and software design PH-315 COMINATIONAL and SEUENTIAL LOGIC CIRCUITS Hardware implementation and software design A La Rosa I PURPOSE: To familiarize with combinational and sequential logic circuits Combinational circuits

More information

EXPERIMENT 8. Flip-Flops and Sequential Circuits

EXPERIMENT 8. Flip-Flops and Sequential Circuits EXPERIMENT 8. Flip-Flops and Sequential Circuits I. Introduction I.a. Objectives The objective of this experiment is to become familiar with the basic operational principles of flip-flops and counters.

More information

Decimal Number (base 10) Binary Number (base 2)

Decimal Number (base 10) Binary Number (base 2) LECTURE 5. BINARY COUNTER Before starting with counters there is some vital information that needs to be understood. The most important is the fact that since the outputs of a digital chip can only be

More information

DEPARTMENT OF INFORMATION TECHNLOGY

DEPARTMENT OF INFORMATION TECHNLOGY DRONACHARYA GROUP OF INSTITUTIONS, GREATER NOIDA Affiliated to Mahamaya Technical University, Noida Approved by AICTE DEPARTMENT OF INFORMATION TECHNLOGY Lab Manual for Computer Organization Lab ECS-453

More information

Management Challenge. Managing Hardware Assets. Central Processing Unit. What is a Computer System?

Management Challenge. Managing Hardware Assets. Central Processing Unit. What is a Computer System? Management Challenge Managing Hardware Assets What computer processing and storage capability does our organization need to handle its information and business transactions? What arrangement of computers

More information

Xilinx ISE. <Release Version: 10.1i> Tutorial. Department of Electrical and Computer Engineering State University of New York New Paltz

Xilinx ISE. <Release Version: 10.1i> Tutorial. Department of Electrical and Computer Engineering State University of New York New Paltz Xilinx ISE Tutorial Department of Electrical and Computer Engineering State University of New York New Paltz Fall 2010 Baback Izadi Starting the ISE Software Start ISE from the

More information

2 1 Implementation using NAND gates: We can write the XOR logical expression A B + A B using double negation as

2 1 Implementation using NAND gates: We can write the XOR logical expression A B + A B using double negation as Chapter 2 Digital Logic asics 2 Implementation using NND gates: We can write the XOR logical expression + using double negation as + = + = From this logical expression, we can derive the following NND

More information

PART B QUESTIONS AND ANSWERS UNIT I

PART B QUESTIONS AND ANSWERS UNIT I PART B QUESTIONS AND ANSWERS UNIT I 1. Explain the architecture of 8085 microprocessor? Logic pin out of 8085 microprocessor Address bus: unidirectional bus, used as high order bus Data bus: bi-directional

More information

Layout of Multiple Cells

Layout of Multiple Cells Layout of Multiple Cells Beyond the primitive tier primitives add instances of primitives add additional transistors if necessary add substrate/well contacts (plugs) add additional polygons where needed

More information

Chapter 5: Sequential Circuits (LATCHES)

Chapter 5: Sequential Circuits (LATCHES) Chapter 5: Sequential Circuits (LATCHES) Latches We focuses on sequential circuits, where we add memory to the hardware that we ve already seen Our schedule will be very similar to before: We first show

More information

RUTGERS UNIVERSITY Department of Electrical and Computer Engineering 14:332:233 DIGITAL LOGIC DESIGN LABORATORY

RUTGERS UNIVERSITY Department of Electrical and Computer Engineering 14:332:233 DIGITAL LOGIC DESIGN LABORATORY RUTGERS UNIVERSITY Department of Electrical and Computer Engineering 14:332:233 DIGITAL LOGIC DESIGN LABORATORY Fall 2012 Contents 1 LABORATORY No 1 3 11 Equipment 3 12 Protoboard 4 13 The Input-Control/Output-Display

More information

Lecture 12: More on Registers, Multiplexers, Decoders, Comparators and Wot- Nots

Lecture 12: More on Registers, Multiplexers, Decoders, Comparators and Wot- Nots Lecture 12: More on Registers, Multiplexers, Decoders, Comparators and Wot- Nots Registers As you probably know (if you don t then you should consider changing your course), data processing is usually

More information

SECTION C [short essay] [Not to exceed 120 words, Answer any SIX questions. Each question carries FOUR marks] 6 x 4=24 marks

SECTION C [short essay] [Not to exceed 120 words, Answer any SIX questions. Each question carries FOUR marks] 6 x 4=24 marks UNIVERSITY OF KERALA First Degree Programme in Computer Applications Model Question Paper Semester I Course Code- CP 1121 Introduction to Computer Science TIME : 3 hrs Maximum Mark: 80 SECTION A [Very

More information

INTEGRATED CIRCUITS. For a complete data sheet, please also download:

INTEGRATED CIRCUITS. For a complete data sheet, please also download: INTEGRATED CIRCUITS DATA SEET For a complete data sheet, please also download: The IC06 74C/CT/CU/CMOS ogic Family Specifications The IC06 74C/CT/CU/CMOS ogic Package Information The IC06 74C/CT/CU/CMOS

More information

Digital Electronics Detailed Outline

Digital Electronics Detailed Outline Digital Electronics Detailed Outline Unit 1: Fundamentals of Analog and Digital Electronics (32 Total Days) Lesson 1.1: Foundations and the Board Game Counter (9 days) 1. Safety is an important concept

More information

Figure 8-1 Four Possible Results of Adding Two Bits

Figure 8-1 Four Possible Results of Adding Two Bits CHPTER EIGHT Combinational Logic pplications Thus far, our discussion has focused on the theoretical design issues of computer systems. We have not yet addressed any of the actual hardware you might find

More information