Category: Algorithms & Data Structures

  • Algorithms & Data Structures Question

    Part 1: In your own words, answer the following:

    1. Illustrate what does O(log n) mean in terms of time complexity?
    2. Illustrate what does O(n log n) mean in terms of time complexity?

    Investigate how the number of operations grows as the input size (n) increases

    Part 2: Identify one algorithm with time complexity O(log n) and one algorithm with time complexity O(n log n)

    For each algorithm:

    • Illustrate how the algorithm works
    • Illustrate why the algorithm has the specified time complexity

    Part 3: Compare O(log n) and O(n log n) in terms of time?

    Part 1

    O(log n) Explanation

    Clearly illustrates logarithmic growth (reducing input size) and correct relation to execution time

    Part 1

    O(n log n) Explanation

    Clearly illustrates combined linear + logarithmic growth and relation to execution time

    Part 2

    O(log n) Algorithm Description

    Clear and correct explanation of how the algorithm works

    Part 2

    O(log n) Time Complexity Justification

    Clearly shows input reduction (e.g., halving) leading to O(log n)

    Part 2

    O(n log n) Algorithm Description

    Clear and correct explanation of how the algorithm works

    Part 2

    O(n log n) Time Complexity Justification

    Clearly identifies where n and log n come from

    Part 3

    Comparison & Justification

    Correctly identifies O(log n) as more efficient with clear explanation based on growth of execution time

  • 434 – Digital Design

    project Assignment Instructions Digital Design (Quartus II & ModelSim)

    You are required to complete a full digital design project that includes design, implementation, simulation, report writing, and presentation. The project consists of two main sections: Dice Game and GCD Calculator. Make sure all work is accurate, complete, and professionally presented.

    # Section 1: Electronic Dice Game Design

    Design and implement an electronic dice game using VHDL based on the given rules.

    ## Steps to follow:

    ### 1. Understand the System

    – Two counters simulate two dice (values from 1 to 6).

    – The sum ranges from 2 to 12.

    – Apply the game rules exactly as described.

    ### 2. Design the System Architecture

    You must divide the system into:

    – Data Path:

    – Two counters (16)

    – Adder (sum)

    – Comparator

    – Point Register

    – Control Unit (FSM):

    – Design an ASM (Algorithmic State Machine)

    ### 3. FSM States (Required)

    Include at least the following states:

    – IDLE

    – ROLL

    – CHECK_FIRST

    – STORE_POINT

    – CHECK_NEXT

    – WIN

    – LOSE

    ### 4. VHDL Implementation

    – Write clean, modular VHDL code:

    – Separate files for datapath and control unit

    – Use meaningful signals and proper naming

    – Add clear comments

    ### 5. Simulation (ModelSim)

    – Create a testbench

    – Verify:

    – Dice rolling

    – Sum calculation

    – Win/Lose conditions

    – Provide waveform screenshots

    # Section 2: GCD Calculator Design

    Design a digital circuit to compute the GCD of two N-bit numbers (e.g., 8-bit) using the Euclidean algorithm.

    ## Steps to follow:

    ### 1. Understand the Algorithm

    Repeat:

    – If A < B B = B – A

    – Else A = A – B

    Until A = B

    ### 2. Design the Architecture

    – Registers: A, B

    – Subtractor

    – Comparator

    – MUX

    – Control Unit (FSM)

    ### 3. FSM States

    – IDLE

    – LOAD

    – COMPARE

    – SUBTRACT

    – DONE

    ### 4. VHDL Implementation

    – Modular design (datapath + control unit)

    – Use clocked processes

    – Ensure correct reset behavior

    ### 5. Simulation

    – Apply different test cases

    – Show:

    – Input values

    – Iterations

    – Final GCD

    – Done signal

    # Quartus II Requirements

    – Compile all designs successfully

    – Show:

    – RTL Viewer screenshots

    – No critical errors

    # ModelSim Requirements

    – Full simulation for both sections

    – Include waveform results

    – Clearly label signals

    # Report Requirements (Max 10 Pages)

    ## Must include:

    ### 1. Introduction

    – Brief explanation of both systems

    ### 2. Design Approach

    – Explain architecture (datapath + control)

    – Include block diagrams

    ### 3. ASM / FSM Diagrams

    – Clearly drawn and explained

    ### 4. VHDL Code

    – Well-commented

    – Organized into modules

    ### 5. Simulation Results

    – Waveforms (ModelSim)

    – Explanation of results

    ### 6. Discussion

    – Challenges faced

    – How they were solved

    # Presentation Requirements

    ## Slides must include:

    1. Project Title & Team Members

    2. Overview of Dice Game

    3. Dice Game Design (FSM + Diagram)

    4. Simulation Results

    5. GCD Algorithm Explanation

    6. GCD Hardware Design

    7. Simulation Results

    8. Conclusion

    ## Important:

    – Include live demonstration (Quartus or ModelSim)

    – Each member must explain their part

    – Keep slides simple and visual

    # Work Quality Requirements

    – No errors in logic

    – Clean and readable code

    – Accurate simulations

    – Professional report formatting

    – Clear explanation in presentation

    # Final Deliverables

    – VHDL files (Dice + GCD)

    – ModelSim simulations

    – Report (WORD, 10 pages)

    – Presentation slides

    – Demonstration ready

    Make sure everything is complete, tested, and matches the assignment requirements exactly before submission.

  • 421 – Digital Design

    roject Assignment Instructions Digital Design (Quartus II & ModelSim)

    You are required to complete a full digital design project that includes design, implementation, simulation, report writing, and presentation. The project consists of two main sections: Dice Game and GCD Calculator. Make sure all work is accurate, complete, and professionally presented.

    # Section 1: Electronic Dice Game Design

    Design and implement an electronic dice game using VHDL based on the given rules.

    ## Steps to follow:

    ### 1. Understand the System

    – Two counters simulate two dice (values from 1 to 6).

    – The sum ranges from 2 to 12.

    – Apply the game rules exactly as described.

    ### 2. Design the System Architecture

    You must divide the system into:

    – Data Path:

    – Two counters (16)

    – Adder (sum)

    – Comparator

    – Point Register

    – Control Unit (FSM):

    – Design an ASM (Algorithmic State Machine)

    ### 3. FSM States (Required)

    Include at least the following states:

    – IDLE

    – ROLL

    – CHECK_FIRST

    – STORE_POINT

    – CHECK_NEXT

    – WIN

    – LOSE

    ### 4. VHDL Implementation

    – Write clean, modular VHDL code:

    – Separate files for datapath and control unit

    – Use meaningful signals and proper naming

    – Add clear comments

    ### 5. Simulation (ModelSim)

    – Create a testbench

    – Verify:

    – Dice rolling

    – Sum calculation

    – Win/Lose conditions

    – Provide waveform screenshots

    # Section 2: GCD Calculator Design

    Design a digital circuit to compute the GCD of two N-bit numbers (e.g., 8-bit) using the Euclidean algorithm.

    ## Steps to follow:

    ### 1. Understand the Algorithm

    Repeat:

    – If A < B B = B – A

    – Else A = A – B

    Until A = B

    ### 2. Design the Architecture

    – Registers: A, B

    – Subtractor

    – Comparator

    – MUX

    – Control Unit (FSM)

    ### 3. FSM States

    – IDLE

    – LOAD

    – COMPARE

    – SUBTRACT

    – DONE

    ### 4. VHDL Implementation

    – Modular design (datapath + control unit)

    – Use clocked processes

    – Ensure correct reset behavior

    ### 5. Simulation

    – Apply different test cases

    – Show:

    – Input values

    – Iterations

    – Final GCD

    – Done signal

    # Quartus II Requirements

    – Compile all designs successfully

    – Show:

    – RTL Viewer screenshots

    – No critical errors

    # ModelSim Requirements

    – Full simulation for both sections

    – Include waveform results

    – Clearly label signals

    # Report Requirements (Max 10 Pages)

    ## Must include:

    ### 1. Introduction

    – Brief explanation of both systems

    ### 2. Design Approach

    – Explain architecture (datapath + control)

    – Include block diagrams

    ### 3. ASM / FSM Diagrams

    – Clearly drawn and explained

    ### 4. VHDL Code

    – Well-commented

    – Organized into modules

    ### 5. Simulation Results

    – Waveforms (ModelSim)

    – Explanation of results

    ### 6. Discussion

    – Challenges faced

    – How they were solved

    # Presentation Requirements

    ## Slides must include:

    1. Project Title & Team Members

    2. Overview of Dice Game

    3. Dice Game Design (FSM + Diagram)

    4. Simulation Results

    5. GCD Algorithm Explanation

    6. GCD Hardware Design

    7. Simulation Results

    8. Conclusion

    ## Important:

    – Include live demonstration (Quartus or ModelSim)

    – Each member must explain their part

    – Keep slides simple and visual

    # Work Quality Requirements

    – No errors in logic

    – Clean and readable code

    – Accurate simulations

    – Professional report formatting

    – Clear explanation in presentation

    # Final Deliverables

    – VHDL files (Dice + GCD)

    – ModelSim simulations

    – Report (WORD, 10 pages)

    – Presentation slides

    – Demonstration ready

    Make sure everything is complete, tested, and matches the assignment requirements exactly before submission.

  • 210 – Digital Design

    Project Assignment Instructions Digital Design (Quartus II & ModelSim)

    You are required to complete a full digital design project that includes design, implementation, simulation, report writing, and presentation. The project consists of two main sections: Dice Game and GCD Calculator. Make sure all work is accurate, complete, and professionally presented.

    # Section 1: Electronic Dice Game Design

    Design and implement an electronic dice game using VHDL based on the given rules.

    ## Steps to follow:

    ### 1. Understand the System

    – Two counters simulate two dice (values from 1 to 6).

    – The sum ranges from 2 to 12.

    – Apply the game rules exactly as described.

    ### 2. Design the System Architecture

    You must divide the system into:

    – Data Path:

    – Two counters (16)

    – Adder (sum)

    – Comparator

    – Point Register

    – Control Unit (FSM):

    – Design an ASM (Algorithmic State Machine)

    ### 3. FSM States (Required)

    Include at least the following states:

    – IDLE

    – ROLL

    – CHECK_FIRST

    – STORE_POINT

    – CHECK_NEXT

    – WIN

    – LOSE

    ### 4. VHDL Implementation

    – Write clean, modular VHDL code:

    – Separate files for datapath and control unit

    – Use meaningful signals and proper naming

    – Add clear comments

    ### 5. Simulation (ModelSim)

    – Create a testbench

    – Verify:

    – Dice rolling

    – Sum calculation

    – Win/Lose conditions

    – Provide waveform screenshots

    # Section 2: GCD Calculator Design

    Design a digital circuit to compute the GCD of two N-bit numbers (e.g., 8-bit) using the Euclidean algorithm.

    ## Steps to follow:

    ### 1. Understand the Algorithm

    Repeat:

    – If A < B B = B – A

    – Else A = A – B

    Until A = B

    ### 2. Design the Architecture

    – Registers: A, B

    – Subtractor

    – Comparator

    – MUX

    – Control Unit (FSM)

    ### 3. FSM States

    – IDLE

    – LOAD

    – COMPARE

    – SUBTRACT

    – DONE

    ### 4. VHDL Implementation

    – Modular design (datapath + control unit)

    – Use clocked processes

    – Ensure correct reset behavior

    ### 5. Simulation

    – Apply different test cases

    – Show:

    – Input values

    – Iterations

    – Final GCD

    – Done signal

    # Quartus II Requirements

    – Compile all designs successfully

    – Show:

    – RTL Viewer screenshots

    – No critical errors

    # ModelSim Requirements

    – Full simulation for both sections

    – Include waveform results

    – Clearly label signals

    # Report Requirements (Max 10 Pages)

    ## Must include:

    ### 1. Introduction

    – Brief explanation of both systems

    ### 2. Design Approach

    – Explain architecture (datapath + control)

    – Include block diagrams

    ### 3. ASM / FSM Diagrams

    – Clearly drawn and explained

    ### 4. VHDL Code

    – Well-commented

    – Organized into modules

    ### 5. Simulation Results

    – Waveforms (ModelSim)

    – Explanation of results

    ### 6. Discussion

    – Challenges faced

    – How they were solved

    # Presentation Requirements

    ## Slides must include:

    1. Project Title & Team Members

    2. Overview of Dice Game

    3. Dice Game Design (FSM + Diagram)

    4. Simulation Results

    5. GCD Algorithm Explanation

    6. GCD Hardware Design

    7. Simulation Results

    8. Conclusion

    ## Important:

    – Include live demonstration (Quartus or ModelSim)

    – Each member must explain their part

    – Keep slides simple and visual

    # Work Quality Requirements

    – No errors in logic

    – Clean and readable code

    – Accurate simulations

    – Professional report formatting

    – Clear explanation in presentation

    # Final Deliverables

    – VHDL files (Dice + GCD)

    – ModelSim simulations

    – Report (WORD, 10 pages)

    – Presentation slides

    – Demonstration ready

    Make sure everything is complete, tested, and matches the assignment requirements exactly before submission.

  • 111 – Digital Design

    Project Assignment Instructions Digital Design (Quartus II & ModelSim)

    You are required to complete a full digital design project that includes design, implementation, simulation, report writing, and presentation. The project consists of two main sections: Dice Game and GCD Calculator. Make sure all work is accurate, complete, and professionally presented.

    # Section 1: Electronic Dice Game Design

    Design and implement an electronic dice game using VHDL based on the given rules.

    ## Steps to follow:

    ### 1. Understand the System

    – Two counters simulate two dice (values from 1 to 6).

    – The sum ranges from 2 to 12.

    – Apply the game rules exactly as described.

    ### 2. Design the System Architecture

    You must divide the system into:

    – Data Path:

    – Two counters (16)

    – Adder (sum)

    – Comparator

    – Point Register

    – Control Unit (FSM):

    – Design an ASM (Algorithmic State Machine)

    ### 3. FSM States (Required)

    Include at least the following states:

    – IDLE

    – ROLL

    – CHECK_FIRST

    – STORE_POINT

    – CHECK_NEXT

    – WIN

    – LOSE

    ### 4. VHDL Implementation

    – Write clean, modular VHDL code:

    – Separate files for datapath and control unit

    – Use meaningful signals and proper naming

    – Add clear comments

    ### 5. Simulation (ModelSim)

    – Create a testbench

    – Verify:

    – Dice rolling

    – Sum calculation

    – Win/Lose conditions

    – Provide waveform screenshots

    # Section 2: GCD Calculator Design

    Design a digital circuit to compute the GCD of two N-bit numbers (e.g., 8-bit) using the Euclidean algorithm.

    ## Steps to follow:

    ### 1. Understand the Algorithm

    Repeat:

    – If A < B B = B – A

    – Else A = A – B

    Until A = B

    ### 2. Design the Architecture

    – Registers: A, B

    – Subtractor

    – Comparator

    – MUX

    – Control Unit (FSM)

    ### 3. FSM States

    – IDLE

    – LOAD

    – COMPARE

    – SUBTRACT

    – DONE

    ### 4. VHDL Implementation

    – Modular design (datapath + control unit)

    – Use clocked processes

    – Ensure correct reset behavior

    ### 5. Simulation

    – Apply different test cases

    – Show:

    – Input values

    – Iterations

    – Final GCD

    – Done signal

    # Quartus II Requirements

    – Compile all designs successfully

    – Show:

    – RTL Viewer screenshots

    – No critical errors

    # ModelSim Requirements

    – Full simulation for both sections

    – Include waveform results

    – Clearly label signals

    # Report Requirements (Max 10 Pages)

    ## Must include:

    ### 1. Introduction

    – Brief explanation of both systems

    ### 2. Design Approach

    – Explain architecture (datapath + control)

    – Include block diagrams

    ### 3. ASM / FSM Diagrams

    – Clearly drawn and explained

    ### 4. VHDL Code

    – Well-commented

    – Organized into modules

    ### 5. Simulation Results

    – Waveforms (ModelSim)

    – Explanation of results

    ### 6. Discussion

    – Challenges faced

    – How they were solved

    # Presentation Requirements

    ## Slides must include:

    1. Project Title & Team Members

    2. Overview of Dice Game

    3. Dice Game Design (FSM + Diagram)

    4. Simulation Results

    5. GCD Algorithm Explanation

    6. GCD Hardware Design

    7. Simulation Results

    8. Conclusion

    ## Important:

    – Include live demonstration (Quartus or ModelSim)

    – Each member must explain their part

    – Keep slides simple and visual

    # Work Quality Requirements

    – No errors in logic

    – Clean and readable code

    – Accurate simulations

    – Professional report formatting

    – Clear explanation in presentation

    # Final Deliverables

    – VHDL files (Dice + GCD)

    – ModelSim simulations

    – Report (WORD, 10 pages)

    – Presentation slides

    – Demonstration ready

    Make sure everything is complete, tested, and matches the assignment requirements exactly before submission.

  • Como criar site HTML animado simples?

    Preciso de ajuda para desenvolver um site bsico usando HTML, CSS e um pouco de JavaScript. Quero que o site tenha animaes simples, como botes que se movem ou mudam de cor. Sou iniciante, ent?o preciso de explicaes claras e exemplos de cdigo.

  • 535 – Digital Design

    Project Assignment Instructions Digital Design (Quartus II & ModelSim)

    You are required to complete a full digital design project that includes design, implementation, simulation, report writing, and presentation. The project consists of two main sections: Dice Game and GCD Calculator. Make sure all work is accurate, complete, and professionally presented.

    # Section 1: Electronic Dice Game Design

    Design and implement an electronic dice game using VHDL based on the given rules.

    ## Steps to follow:

    ### 1. Understand the System

    – Two counters simulate two dice (values from 1 to 6).

    – The sum ranges from 2 to 12.

    – Apply the game rules exactly as described.

    ### 2. Design the System Architecture

    You must divide the system into:

    – Data Path:

    – Two counters (16)

    – Adder (sum)

    – Comparator

    – Point Register

    – Control Unit (FSM):

    – Design an ASM (Algorithmic State Machine)

    ### 3. FSM States (Required)

    Include at least the following states:

    – IDLE

    – ROLL

    – CHECK_FIRST

    – STORE_POINT

    – CHECK_NEXT

    – WIN

    – LOSE

    ### 4. VHDL Implementation

    – Write clean, modular VHDL code:

    – Separate files for datapath and control unit

    – Use meaningful signals and proper naming

    – Add clear comments

    ### 5. Simulation (ModelSim)

    – Create a testbench

    – Verify:

    – Dice rolling

    – Sum calculation

    – Win/Lose conditions

    – Provide waveform screenshots

    # Section 2: GCD Calculator Design

    Design a digital circuit to compute the GCD of two N-bit numbers (e.g., 8-bit) using the Euclidean algorithm.

    ## Steps to follow:

    ### 1. Understand the Algorithm

    Repeat:

    – If A < B B = B – A

    – Else A = A – B

    Until A = B

    ### 2. Design the Architecture

    – Registers: A, B

    – Subtractor

    – Comparator

    – MUX

    – Control Unit (FSM)

    ### 3. FSM States

    – IDLE

    – LOAD

    – COMPARE

    – SUBTRACT

    – DONE

    ### 4. VHDL Implementation

    – Modular design (datapath + control unit)

    – Use clocked processes

    – Ensure correct reset behavior

    ### 5. Simulation

    – Apply different test cases

    – Show:

    – Input values

    – Iterations

    – Final GCD

    – Done signal

    # Quartus II Requirements

    – Compile all designs successfully

    – Show:

    – RTL Viewer screenshots

    – No critical errors

    # ModelSim Requirements

    – Full simulation for both sections

    – Include waveform results

    – Clearly label signals

    # Report Requirements (Max 10 Pages)

    ## Must include:

    ### 1. Introduction

    – Brief explanation of both systems

    ### 2. Design Approach

    – Explain architecture (datapath + control)

    – Include block diagrams

    ### 3. ASM / FSM Diagrams

    – Clearly drawn and explained

    ### 4. VHDL Code

    – Well-commented

    – Organized into modules

    ### 5. Simulation Results

    – Waveforms (ModelSim)

    – Explanation of results

    ### 6. Discussion

    – Challenges faced

    – How they were solved

    # Presentation Requirements

    ## Slides must include:

    1. Project Title & Team Members

    2. Overview of Dice Game

    3. Dice Game Design (FSM + Diagram)

    4. Simulation Results

    5. GCD Algorithm Explanation

    6. GCD Hardware Design

    7. Simulation Results

    8. Conclusion

    ## Important:

    – Include live demonstration (Quartus or ModelSim)

    – Each member must explain their part

    – Keep slides simple and visual

    # Work Quality Requirements

    – No errors in logic

    – Clean and readable code

    – Accurate simulations

    – Professional report formatting

    – Clear explanation in presentation

    # Final Deliverables

    – VHDL files (Dice + GCD)

    – ModelSim simulations

    – Report (WORD, 10 pages)

    – Presentation slides

    – Demonstration ready

    Make sure everything is complete, tested, and matches the assignment requirements exactly before submission.

  • Algorithms & Data Structures Question

    Project Assignment Instructions Digital Design (Quartus II & ModelSim)

    You are required to complete a full digital design project that includes design, implementation, simulation, report writing, and presentation. The project consists of two main sections: Dice Game and GCD Calculator. Make sure all work is accurate, complete, and professionally presented.

    # Section 1: Electronic Dice Game Design

    Design and implement an electronic dice game using VHDL based on the given rules.

    ## Steps to follow:

    ### 1. Understand the System

    – Two counters simulate two dice (values from 1 to 6).

    – The sum ranges from 2 to 12.

    – Apply the game rules exactly as described.

    ### 2. Design the System Architecture

    You must divide the system into:

    – Data Path:

    – Two counters (16)

    – Adder (sum)

    – Comparator

    – Point Register

    – Control Unit (FSM):

    – Design an ASM (Algorithmic State Machine)

    ### 3. FSM States (Required)

    Include at least the following states:

    – IDLE

    – ROLL

    – CHECK_FIRST

    – STORE_POINT

    – CHECK_NEXT

    – WIN

    – LOSE

    ### 4. VHDL Implementation

    – Write clean, modular VHDL code:

    – Separate files for datapath and control unit

    – Use meaningful signals and proper naming

    – Add clear comments

    ### 5. Simulation (ModelSim)

    – Create a testbench

    – Verify:

    – Dice rolling

    – Sum calculation

    – Win/Lose conditions

    – Provide waveform screenshots

    # Section 2: GCD Calculator Design

    Design a digital circuit to compute the GCD of two N-bit numbers (e.g., 8-bit) using the Euclidean algorithm.

    ## Steps to follow:

    ### 1. Understand the Algorithm

    Repeat:

    – If A < B B = B – A

    – Else A = A – B

    Until A = B

    ### 2. Design the Architecture

    – Registers: A, B

    – Subtractor

    – Comparator

    – MUX

    – Control Unit (FSM)

    ### 3. FSM States

    – IDLE

    – LOAD

    – COMPARE

    – SUBTRACT

    – DONE

    ### 4. VHDL Implementation

    – Modular design (datapath + control unit)

    – Use clocked processes

    – Ensure correct reset behavior

    ### 5. Simulation

    – Apply different test cases

    – Show:

    – Input values

    – Iterations

    – Final GCD

    – Done signal

    # Quartus II Requirements

    – Compile all designs successfully

    – Show:

    – RTL Viewer screenshots

    – No critical errors

    # ModelSim Requirements

    – Full simulation for both sections

    – Include waveform results

    – Clearly label signals

    # Report Requirements (Max 10 Pages)

    ## Must include:

    ### 1. Introduction

    – Brief explanation of both systems

    ### 2. Design Approach

    – Explain architecture (datapath + control)

    – Include block diagrams

    ### 3. ASM / FSM Diagrams

    – Clearly drawn and explained

    ### 4. VHDL Code

    – Well-commented

    – Organized into modules

    ### 5. Simulation Results

    – Waveforms (ModelSim)

    – Explanation of results

    ### 6. Discussion

    – Challenges faced

    – How they were solved

    # Presentation Requirements

    ## Slides must include:

    1. Project Title & Team Members

    2. Overview of Dice Game

    3. Dice Game Design (FSM + Diagram)

    4. Simulation Results

    5. GCD Algorithm Explanation

    6. GCD Hardware Design

    7. Simulation Results

    8. Conclusion

    ## Important:

    – Include live demonstration (Quartus or ModelSim)

    – Each member must explain their part

    – Keep slides simple and visual

    # Work Quality Requirements

    – No errors in logic

    – Clean and readable code

    – Accurate simulations

    – Professional report formatting

    – Clear explanation in presentation

    # Final Deliverables

    – VHDL files (Dice + GCD)

    – ModelSim simulations

    – Report (WORD, 10 pages)

    – Presentation slides

    – Demonstration ready

    Make sure everything is complete, tested, and matches the assignment requirements exactly before submission.

  • Algorithms & Data Structures Question

    Project Assignment Instructions Digital Design (Quartus II & ModelSim)

    You are required to complete a full digital design project that includes design, implementation, simulation, report writing, and presentation. The project consists of two main sections: Dice Game and GCD Calculator. Make sure all work is accurate, complete, and professionally presented.

    # Section 1: Electronic Dice Game Design

    Design and implement an electronic dice game using VHDL based on the given rules.

    ## Steps to follow:

    ### 1. Understand the System

    – Two counters simulate two dice (values from 1 to 6).

    – The sum ranges from 2 to 12.

    – Apply the game rules exactly as described.

    ### 2. Design the System Architecture

    You must divide the system into:

    – Data Path:

    – Two counters (16)

    – Adder (sum)

    – Comparator

    – Point Register

    – Control Unit (FSM):

    – Design an ASM (Algorithmic State Machine)

    ### 3. FSM States (Required)

    Include at least the following states:

    – IDLE

    – ROLL

    – CHECK_FIRST

    – STORE_POINT

    – CHECK_NEXT

    – WIN

    – LOSE

    ### 4. VHDL Implementation

    – Write clean, modular VHDL code:

    – Separate files for datapath and control unit

    – Use meaningful signals and proper naming

    – Add clear comments

    ### 5. Simulation (ModelSim)

    – Create a testbench

    – Verify:

    – Dice rolling

    – Sum calculation

    – Win/Lose conditions

    – Provide waveform screenshots

    # Section 2: GCD Calculator Design

    Design a digital circuit to compute the GCD of two N-bit numbers (e.g., 8-bit) using the Euclidean algorithm.

    ## Steps to follow:

    ### 1. Understand the Algorithm

    Repeat:

    – If A < B B = B – A

    – Else A = A – B

    Until A = B

    ### 2. Design the Architecture

    – Registers: A, B

    – Subtractor

    – Comparator

    – MUX

    – Control Unit (FSM)

    ### 3. FSM States

    – IDLE

    – LOAD

    – COMPARE

    – SUBTRACT

    – DONE

    ### 4. VHDL Implementation

    – Modular design (datapath + control unit)

    – Use clocked processes

    – Ensure correct reset behavior

    ### 5. Simulation

    – Apply different test cases

    – Show:

    – Input values

    – Iterations

    – Final GCD

    – Done signal

    # Quartus II Requirements

    – Compile all designs successfully

    – Show:

    – RTL Viewer screenshots

    – No critical errors

    # ModelSim Requirements

    – Full simulation for both sections

    – Include waveform results

    – Clearly label signals

    # Report Requirements (Max 10 Pages)

    ## Must include:

    ### 1. Introduction

    – Brief explanation of both systems

    ### 2. Design Approach

    – Explain architecture (datapath + control)

    – Include block diagrams

    ### 3. ASM / FSM Diagrams

    – Clearly drawn and explained

    ### 4. VHDL Code

    – Well-commented

    – Organized into modules

    ### 5. Simulation Results

    – Waveforms (ModelSim)

    – Explanation of results

    ### 6. Discussion

    – Challenges faced

    – How they were solved

    # Presentation Requirements

    ## Slides must include:

    1. Project Title & Team Members

    2. Overview of Dice Game

    3. Dice Game Design (FSM + Diagram)

    4. Simulation Results

    5. GCD Algorithm Explanation

    6. GCD Hardware Design

    7. Simulation Results

    8. Conclusion

    ## Important:

    – Include live demonstration (Quartus or ModelSim)

    – Each member must explain their part

    – Keep slides simple and visual

    # Work Quality Requirements

    – No errors in logic

    – Clean and readable code

    – Accurate simulations

    – Professional report formatting

    – Clear explanation in presentation

    # Final Deliverables

    – VHDL files (Dice + GCD)

    – ModelSim simulations

    – Report (PDF, 10 pages)

    – Presentation slides

    – Demonstration ready

    Make sure everything is complete, tested, and matches the assignment requirements exactly before submission.

  • Algorithms & Data Structures Question

    Everything is included in the document you should follow the entire structure