Loading...

Messages

Proposals

Stuck in your homework and missing deadline? Get urgent help in $10/Page with 24 hours deadline

Get Urgent Writing Help In Your Essays, Assignments, Homeworks, Dissertation, Thesis Or Coursework & Achieve A+ Grades.

Privacy Guaranteed - 100% Plagiarism Free Writing - Free Turnitin Report - Professional And Experienced Writers - 24/7 Online Support

4 bit gray to binary converter

18/10/2021 Client: muhammad11 Deadline: 2 Day

Logism Combinational Logic Circuit. Balanced Gray Code To Binary Code With Hex Display. MUST USE TABLE PROVIDED

THE TABLE PROVIDED MUST BE USED FOR THE CIRCUIT. I CAN'T MAKE MY OWN VALUES.

for example 0011 MUST equal the hexadecimal value C for the project

Preface

You will need Logisim to complete this project assignment. Further information about LogiSim is at http://www.cburch.com/logisim/. If you have not done so already, download and install Logisim 2.7.1 from http://sourceforge.net/projects/circuit/.

1. Introduction

The objective of this project is to reinforce your understanding of binary codes, combinational logic design, and logic simulation. You must: (i) design a combinational logic circuit that displays the hexadecimal value of a gray code input according to the specifications given below; (ii) debug and test your design by simulating it using the Logisim simulator; and (iii) document your work in a short report.

2. Gray Codes

Consider a system where a value is changed by being incremented or decremented by one. The value is encoded by n binary signals. As a specific example, consider a value, represented with 4 bits, being incremented from 3 to 4. In a traditional weighted binary encoding, 3 is represented as 0011 and 4 is represented as 0100. For the change from 3 to 4, three bits must change. Since the time of the transitions in the actual signals will always be different if examined at a sufficiently fine scale, the value will not change instantaneously from 3 to 4. As an example, the transition could occur as follows, where the transitions to value 7 and then value 5 are transient in nature.

0011 (3) ® 0111 (7) ® 0101 (5) ® 0100 (4)

The physical reality of such signal transitions can create problems for applications including mechanical encoders and asynchronous (clock-free) systems. This problem can be overcome using Gray codes, which are non-weighted codes that can be used to represent values. Gray codes have the special property that any two adjacent values differ in just one bit. For example, the standard four-bit Gray code for 3 is 0010 and the code for 4 is 0110. These two codes differ in just one bit, the second bit from the left. So, only a single signal needs to change from 0 to 1 (or 1 to 0 for other values) to represent an adjacent value. You can read more about Gray codes at http://en.wikipedia.org/wiki/Gray_code.

For this project we consider a special type of Gray code called a Balanced Gray code. In a Balanced Gray code, the number of transitions for each bit position is the same when counting through the values. For example, a four-bit Balanced Gray code can be used to count from 0 to 15 (hexadecimal F). There are 16 transitions as the count goes from 0 to 1 to 2 and so on to 15 and then back to 0. For a Balanced Gray code, there are four bit transitions for each of the four bit positions during the 16 total transitions. This property is useful in some applications.

Table I below shows the encoding of hexadecimal values 0 through F using a 4-bit Balanced Gray code.

Table I. Hexadecimal Values and Associated 4-bit Balanced Gray Code and Binary Code

Hexadecimal
Value

Balanced Gray Code
(X3 X2 X1 X0)

Binary
Code
(Y3 Y2 Y1 Y0)

0

0 0 0 0

0 0 0 0

1

1 0 0 0

0 0 0 1

2

1 1 0 0

0 0 1 0

3

1 1 0 1

0 0 1 1

4

1 1 1 1

0 1 0 0

5

1 1 1 0

0 1 0 1

6

1 0 1 0

0 1 1 0

7

0 0 1 0

0 1 1 1

8

0 1 1 0

1 0 0 0

9

0 1 0 0

1 0 0 1

A

0 1 0 1

1 0 1 0

B

0 1 1 1

1 0 1 1

C

0 0 1 1

1 1 0 0

D

1 0 1 1

1 1 0 1

E

1 0 0 1

1 1 1 0

F

0 0 0 1

1 1 1 1

3. Design Specification

You are to design a combinational logic circuit that accepts a four-bit Balanced Gray code (X3 X2 X1 X0) as its input and creates a four-bit output (Y3 Y2 Y1 Y0) that uses standard binary encoding to represent the same hexadecimal value. In other words, the circuit translates between the Balanced Gray code input and the binary code output as indicated in Table I. Figure 1 provides a block diagram of the function. You do not need to minimize the logic function or associated circuit, but you may choose to do so.

Note that Table I is not a true truth table in that it is not ordered by input. You can rearrange the rows in Table I to construct a standard truth table with inputs X3 X2 X1 X0 appearing in order from 0000, 0001, 0010, …, 1111.

Figure 1. Block diagram of the converter function.

4. Modeling the Circuit in Logisim

Use the Pin device in Logisim’s Wiring library to control the four inputs (X3 X2 X1 X0) to the combinational circuit. The Pin device is also available on Logisim’s toolbar. Each pin can be interactively set to 0 or 1 using Logisim’s Poke tool to test the circuit for different Balanced Gray code input values. If the proper connections are in place when Logisim is running, signals with logic level 1 appear in bright green and signals with logic level 0 are shown in dark green.

The circuit’s four output bits should be used to control a hexadecimal display to show values 0 through F, inclusive. Use the Hex Digit Display device in Logisim’s Input/Output library. It accepts a 4-bit binary encoded value as input and displays the hexadecimal digit corresponding to the binary-encoded input. Use the Splitter device in Logisim’s Wiring library to interface the four individual single bits produced by the combinational circuit (Y3 Y2 Y1 Y0) to the four-bit wide input to the Hex Digit Display. The Hex Digit Display device has a second input to control the decimal (hexadecimal) point. The decimal point input can be left unconnected.

Figure 2 shows a possible layout for the design. The associated Logisim circuit file is provided with this assignment.

Figure 2. Possible circuit layout including logic to produce output Y0 (input is for Balanced Gray Code value 0011 which produces output 1100 or hexadecimal C).

The design in Figure 2 includes the combinational logic to produce output Y0. By observation, we see that output Y0 is true if and only if there are an odd number of logic 1 inputs. Thus, Y0 is implemented by the exclusive-or (XOR) function, i.e., Y0 = X3 Å X2 Å X1 Å X0. For the Logisim XOR Gate, the Multiple-Input Behavior attribute needs to be set to “When an odd number are on.”

5. Simulation

After you create your design, use Logisim to simulate the code conversion circuit. You should test all 16 possible input combinations and verify that the correct values of Y3, Y2, Y1, and Y0 are produced and that the correct hexadecimal value is displayed.

Preface
· You will need Logisim to complete this project assignment. Further information about LogiSim is at http://www.cburch.com/logisim/. If you have not done so already, download and install Logisim 2.7.1 from http://sourceforge.net/projects/circuit/.

1. Introduction
The objective of this project is to reinforce your understanding of binary codes, combinational logic design, and logic simulation. You must: (i) design a combinational logic circuit that displays the hexadecimal value of a gray code input according to the specifications given below; (ii) debug and test your design by simulating it using the Logisim simulator; and (iii) document your work in a short report.

2. Gray Codes
Consider a system where a value is changed by being incremented or decremented by one. The value is encoded by n binary signals. As a specific example, consider a value, represented with 4 bits, being incremented from 3 to 4. In a traditional weighted binary encoding, 3 is represented as 0011 and 4 is represented as 0100. For the change from 3 to 4, three bits must change. Since the time of the transitions in the actual signals will always be different if examined at a sufficiently fine scale, the value will not change instantaneously from 3 to 4. As an example, the transition could occur as follows, where the transitions to value 7 and then value 5 are transient in nature.

0011 (3)  0111 (7)  0101 (5)  0100 (4)

The physical reality of such signal transitions can create problems for applications including mechanical encoders and asynchronous (clock-free) systems. This problem can be overcome using Gray codes, which are non-weighted codes that can be used to represent values. Gray codes have the special property that any two adjacent values differ in just one bit. For example, the standard four-bit Gray code for 3 is 0010 and the code for 4 is 0110. These two codes differ in just one bit, the second bit from the left. So, only a single signal needs to change from 0 to 1 (or 1 to 0 for other values) to represent an adjacent value. You can read more about Gray codes at http://en.wikipedia.org/wiki/Gray_code.

For this project we consider a special type of Gray code called a Balanced Gray code. In a Balanced Gray code, the number of transitions for each bit position is the same when counting through the values. For example, a four-bit Balanced Gray code can be used to count from 0 to 15 (hexadecimal F). There are 16 transitions as the count goes from 0 to 1 to 2 and so on to 15 and then back to 0. For a Balanced Gray code, there are four bit transitions for each of the four bit positions during the 16 total transitions. This property is useful in some applications.

Table I below shows the encoding of hexadecimal values 0 through F using a 4-bit Balanced Gray code.

Table I. Hexadecimal Values and Associated 4-bit Balanced Gray Code and Binary Code

Hexadecimal Value

Balanced Gray Code (X3 X2 X1 X0)

Binary Code (Y3 Y2 Y1 Y0)

0

0 0 0 0

0 0 0 0

1

1 0 0 0

0 0 0 1

2

1 1 0 0

0 0 1 0

3

1 1 0 1

0 0 1 1

4

1 1 1 1

0 1 0 0

5

1 1 1 0

0 1 0 1

6

1 0 1 0

0 1 1 0

7

0 0 1 0

0 1 1 1

8

0 1 1 0

1 0 0 0

9

0 1 0 0

1 0 0 1

A

0 1 0 1

1 0 1 0

B

0 1 1 1

1 0 1 1

C

0 0 1 1

1 1 0 0

D

1 0 1 1

1 1 0 1

E

1 0 0 1

1 1 1 0

F

0 0 0 1

1 1 1 1

3. Design Specification
You are to design a combinational logic circuit that accepts a four-bit Balanced Gray code (X3 X2 X1 X0) as its input and creates a four-bit output (Y3 Y2 Y1 Y0) that uses standard binary encoding to represent the same hexadecimal value. In other words, the circuit translates between the Balanced Gray code input and the binary code output as indicated in Table I. Figure 1 provides a block diagram of the function. You do not need to minimize the logic function or associated circuit, but you may choose to do so.

Note that Table I is not a true truth table in that it is not ordered by input. You can rearrange the rows in Table I to construct a standard truth table with inputs X3 X2 X1 X0 appearing in order from 0000, 0001, 0010, …, 1111.

Figure 1. Block diagram of the converter function.

4. Modeling the Circuit in Logisim
Use the Pin device in Logisim’s Wiring library to control the four inputs (X3 X2 X1 X0) to the combinational circuit. The Pin device is also available on Logisim’s toolbar. Each pin can be interactively set to 0 or 1 using Logisim’s Poke tool to test the circuit for different Balanced Gray code input values. If the proper connections are in place when Logisim is running, signals with logic level 1 appear in bright green and signals with logic level 0 are shown in dark green.

The circuit’s four output bits should be used to control a hexadecimal display to show values 0 through F, inclusive. Use the Hex Digit Display device in Logisim’s Input/Output library. It accepts a 4-bit binary encoded value as input and displays the hexadecimal digit corresponding to the binary-encoded input. Use the Splitter device in Logisim’s Wiring library to interface the four individual single bits produced by the combinational circuit (Y3 Y2 Y1 Y0) to the four-bit wide input to the Hex Digit Display. The Hex Digit Display device has a second input to control the decimal (hexadecimal) point. The decimal point input can be left unconnected.

Figure 2 shows a possible layout for the design. The associated Logisim circuit file is provided with this assignment.

Figure 2. Possible circuit layout including logic to produce output Y0 (input is for Balanced Gray Code value 0011 which produces output 1100 or hexadecimal C).

The design in Figure 2 includes the combinational logic to produce output Y0. By observation, we see that output Y0 is true if and only if there are an odd number of logic 1 inputs. Thus, Y0 is implemented by the exclusive-or (XOR) function, i.e., Y0 = X3  X2  X1  X0. For the Logisim XOR Gate, the Multiple-Input Behavior attribute needs to be set to “When an odd number are on.”

5. Simulation
After you create your design, use Logisim to simulate the code conversion circuit. You should test all 16 possible input combinations and verify that the correct values of Y3, Y2, Y1, and Y0 are produced and that the correct hexadecimal value is displayed.

·

Homework is Completed By:

Writer Writer Name Amount Client Comments & Rating
Instant Homework Helper

ONLINE

Instant Homework Helper

$36

She helped me in last minute in a very reasonable price. She is a lifesaver, I got A+ grade in my homework, I will surely hire her again for my next assignments, Thumbs Up!

Order & Get This Solution Within 3 Hours in $25/Page

Custom Original Solution And Get A+ Grades

  • 100% Plagiarism Free
  • Proper APA/MLA/Harvard Referencing
  • Delivery in 3 Hours After Placing Order
  • Free Turnitin Report
  • Unlimited Revisions
  • Privacy Guaranteed

Order & Get This Solution Within 6 Hours in $20/Page

Custom Original Solution And Get A+ Grades

  • 100% Plagiarism Free
  • Proper APA/MLA/Harvard Referencing
  • Delivery in 6 Hours After Placing Order
  • Free Turnitin Report
  • Unlimited Revisions
  • Privacy Guaranteed

Order & Get This Solution Within 12 Hours in $15/Page

Custom Original Solution And Get A+ Grades

  • 100% Plagiarism Free
  • Proper APA/MLA/Harvard Referencing
  • Delivery in 12 Hours After Placing Order
  • Free Turnitin Report
  • Unlimited Revisions
  • Privacy Guaranteed

6 writers have sent their proposals to do this homework:

Solution Provider
Engineering Guru
Instant Assignments
Homework Tutor
Maths Master
University Coursework Help
Writer Writer Name Offer Chat
Solution Provider

ONLINE

Solution Provider

I will provide you with the well organized and well research papers from different primary and secondary sources will write the content that will support your points.

$40 Chat With Writer
Engineering Guru

ONLINE

Engineering Guru

I am an academic and research writer with having an MBA degree in business and finance. I have written many business reports on several topics and am well aware of all academic referencing styles.

$18 Chat With Writer
Instant Assignments

ONLINE

Instant Assignments

I have assisted scholars, business persons, startups, entrepreneurs, marketers, managers etc in their, pitches, presentations, market research, business plans etc.

$38 Chat With Writer
Homework Tutor

ONLINE

Homework Tutor

As an experienced writer, I have extensive experience in business writing, report writing, business profile writing, writing business reports and business plans for my clients.

$45 Chat With Writer
Maths Master

ONLINE

Maths Master

I am an elite class writer with more than 6 years of experience as an academic writer. I will provide you the 100 percent original and plagiarism-free content.

$40 Chat With Writer
University Coursework Help

ONLINE

University Coursework Help

I will be delighted to work on your project. As an experienced writer, I can provide you top quality, well researched, concise and error-free work within your provided deadline at very reasonable prices.

$40 Chat With Writer

Let our expert academic writers to help you in achieving a+ grades in your homework, assignment, quiz or exam.

Similar Homework Questions

Lifeline sleep center warrendale pa - Specific gravity formula pharmacy - Crane girder design calculation eurocode - Cesim global challenge quiz - Assignment 2 - Symbols of the eucharist worksheet - Training the receptionist juniper bell read online - Seaside marina accounting practice set answers - Busca la heladería en el mercado central. - Myitlab answers excel chapter 2 - Can a priest be a confirmation sponsor - What is the cost of the may 31 inventory - Windhoek mines ltd of namibia is contemplating - English 30 2 literary exploration topics - Participation requirements appointment centrelink - Real time business intelligence at continental airlines - Importance of constructing a logical position or argument for research. - Baker duties and responsibilities resume - Discussion: Remote Access Method Evaluation - Assessment in early childhood education 7th edition pdf - High low method equation - The cable to connect bns is usually twisted pair - Ben rye donnafugata australia - Bsbfim601 manage finances assessment 3 - John maxwell 5 levels of leadership notes - Restricted psv operators licence - Autocad lt visual styles - Extron 70 491 10 - Whipps cross haematology department - Week 3 Discussion Board - Compex ex01 04 course - Leigh baddeley's mobile caravan service and repairs - What was the kitchen called in the bryson house quizlet - Gwen harwood father and child poem - Wjec level 3 criminology - 02.05 the bill of rights assessment - Professional Trade Magazine Assignment - Which activities at dirt bikes create the most value - Health Care Delivery System Case 4 - Leadership as a vocation - English Artworks Analysis Paper - Figurative language meaning and examples - 2.05 training expectations and the media quizlet - Functions of Managers - Jolly phonics flashcards powerpoint - KINROSS Gold and Challenge in Brazil and The Bread Scandal and Loblaw's Ethical Culture - Urban II's Sermon at Clermont - Mi cable fire rating - What is the psychological term for the symptoms James experiences after abstaining from consuming alcohol? - Youth allowance rent assistance - Trader joe's harvard business case pdf - Which of the following best demonstrates "articulating why the decision is necessary?" - Lyrics firework katy perry meaning - 101 dumbest moments in business - 939 marian eton road - List the steps of the accounting cycle - Industrial and Hazardous Waste Management - HR - Reaction between silver nitrate and sodium hydroxide - 2 variable k map - Dippin dots case study strategic management - Data Collection Analysis - Murdocks 4 functions of the family - Discuss at least two backup strategies - The little knife michael chabon theme - Collaborative partnerships with families - Canon lv wx320 review - Alliteration for falling leaves - Title of the organization - An independent-measures study uses ____ - Hardware and networking study material free download pdf - Quick answer - Poems with rhyme rhythm and repetition - Darry from the outsiders - Healthcare Ethics - Frost fighter defroster tab repair kit - Blanka dobrynin - Introduction to polygons ppt - Hipaa includes in its definition of research activities related to - Writing an analysis of media messages - Four basic metaparadigm concepts in nursing - Engineering thermodynamics formula sheet - Ratios and financial planning at east coast yachts solution - Approaches to psychology worksheet answers - Proper planning prevents poor performance - Increases air turbulence in the nasal cavity - Bamboo reinforced concrete ppt - DiscussionB 6-2 - Disks of polycarbonate plastic from a supplier are analyzed - 0.86 repeating as a fraction - Elliot perlman and jennifer keyte - Caltex unleaded petrol sds - Tree ring activity worksheet answer key - American revolution - A theoretical orientation is best described as - 1.2 3 bone detectives case report - Visual basic exercises with solutions - Ascot vale primary school - NIST relevance for a Database Admin - CL- module 6