ECE3441 – Digital Logic Design Lab Report.

Learning Goal: I’m working on a engineering writing question and need an explanation and answer to help me learn.

Lab #4: Full-Adder Subtractor Calculator

In this lab, you will learn about the Full-Adder and perform 2’s Complement Binary Arithmetic.

This lab is to be done with your lab partner only, and one lab report will be submitted per

team.

 

 

 

Part 1: Using K-Maps to Solve Full-Adder Truth Table

For this first part, we would like for you to study the Full Adder’s truth table. Please use the truth table given in the Lab 4 folder and solve for the 2 functions that composed the full-adder. Do this by using K-maps. Make sure you show all of your steps.

After solving the Cout and Sum functions, please build both of them in SimUAid. Using the same methods shown in Lab 2, and acquire the timing diagram and include it in your report.

Note: Add probes to your abouts, and label them as well.

Deliverables/Questions:

  • How many minterms does Cout and Sum functions contain? Please give the maxterm values for both boolean functions as well.
  • What is ALU and what relationship does it have with the Full-Adder?
  • What are the major differences from your Part 1 build and the Full-Adder Macro? Which one is the better option and why?
  • Given that the 8-bit Full-Adder Calculator can only do 8-bit addition. Can you find any limitations in your calculator build?
  • In your own words, explain the benefit of adding the XOR gate into your Part 2 circuit build?
  • Do the limitations for your Part 2 build still remain? Are their new limitations added to your calculator? Explain why.

Part 2: Full-Adder Macro Chip Introduction

In SimUAid we have a macro for the Full-Adder function. You can find this component by:

Part => Other Parts => Full-Adder

In the same file that you completed Part 1, build the Full-Adder using this new component. Make sure it has the same inputs as those from Part 1, and compare both versions.

In a new SimUAid File:

Once you have completed this, you will build a 8-bit calculator using only the Full-Adder macro. You will do this by attaching each macro in the manner as that shown in Figure 4-3. This figure will be included in your folder. The only difference will be where your last Cout will not wrap back to C0 of your first Full-Adder. Additionally, for this build, you will go back to using switches.

Note: For your 8-bit addition calculator. All inputs are treated as 2’s-Complement Values.

 

Note: You will have 17 inputs in this build. A input will consist of A7 to A0, B input will

consist of B7 to B0, and C0 will also be an input. C0 will also be referred to as Cin. With both A7 and B7 being the most significant bits (MSB) and A0 and B0 as the least significant bits (LSB).

 

 

Deliverables/Questions:

5.Give 4 Addition Examples: A+B where A and B can be negative or positive values.

Part 3: Full-Adder Subtractor Build

For this last part of the lab we will enhance the 8-bit Full-Adder calculator to do subtraction as well. This will be possible by adding the XOR gate into your build.

Referring back to Figure 4-3, you will add XOR gates to all of your B inputs. And so this will mean that all Y inputs are going to be the result of your original B input value and the Cin (it is labeled as C0 in figure 4-3). This will make subtraction possible. An additional figure will be in Lab 4 folder, showing how this is achieved using a modified figure: Full-Adder Subtractor.

Note: You are still treating your inputs as 2’s-complement values.

 

Deliverables/Questions:

8.Give 4 Subtraction Examples: A-B where A and B can be negative or positive values.

Part 4: Summary of Deliverables

Turn in your report in either PDF or Word format, and make sure it is named:

ECE3441_Team#_Lab4.

 

**Note: Please refrain from using notebook paper or writing in the attached lab. Make a separate Word document and have it submitted as a word or as a pdf document in BB.

Points will be deducted if you do not follow instructions.

 

 

 

 

Course Name and Number – Semester Lab Number and Title

Names: Lab Partner(s)

Overview: Goals of the Lab

 

Briefly (~ 1 small paragraph) outline the goal of this lab, as well as the work

done.

Step-by-Step Procedures and Results

 

This must be in chronological order of how Lab 4 should be completed. Make sure you include all of the necessary information that is mentioned in the lab and answer all questions.

Conclusion

 

Summarize what you have learned in this lab.

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