23 Apr Explain the reason for performing the experiment and give a concise summary of the theory involved, including any mathematical detail relevant to later discussion
Abstract
A brief description of the experiment. The abstract should not exceed four or five sentences.
Introduction
In your own words, explain the reason for performing the experiment and give a concise summary of the theory involved, including any mathematical detail relevant to later discussion in the report.
Conclusions
This section should reflect your understanding of the experiment. Important points to include are a brief discussion of your final results, an interpretation of the actual experimental results as they apply to the objectives of the experiment set out in the introduction should be given
EET130
Digital Systems I
Instructor: enter instructor name
Lab 1
Signals and Number Systems
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Honor Pledge:
I pledge to support the Honor System of ECPI. I will refrain from any form of academic dishonesty or deception, such as cheating or plagiarism. I am aware that as a member of the academic community, it is my responsibility to turn in all suspected violators of the honor code. I understand that any failure on my part to support the Honor System will be turned over to a Judicial Review Board for determination. I will report to the Judicial Review Board hearing if summoned.
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Student Name Date: 1/1/2018
Adding your name here constitutes your agreement to the Honor Pledge as stated.
Contents Abstract 3 Introduction 3 Part 1: Methods and Procedures 4 Conclusion 13 References 14
Abstract
|
(This instruction box is to be deleted before submission of Lab report) What is an Abstract? Write the Abstract, Introduction and Conclusion last! This should include a brief description of all parts of the lab. The abstract should be complete in itself. It should summarize the entire lab; what you did, why you did it, the results and your conclusion. Think of it as a summary to include all work done. It has to be succinct but yet detailed enough for a person to know what this report deals with in its entirety. |
I ntroduction
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(This instruction box is to be deleted before submission of Lab report) What is an Introduction? Write the Abstract, Introduction and Conclusion last! In your own words, explain the reason for performing the experiment and give a concise summary of the theory involved, including any mathematical detail relevant to later discussion in the report. State the objectives of the lab as well as the overall background of the relevant topic. |
Part 1: Methods and Procedures
1. Write the Boolean expression for Y (the output of the Circuit 1 in Figure 1).
2. Write down “predicted output” values for Circuit 1 in Table 1 for given inputs.
3. Construct Circuit 1 shown in Figure 1 using components listed in parts list for Circuit 1.
4. For Circuit 1, change inputs A, B, and C using SPDT switches and observe output using digital probe connected to output. Write down “measured output” values in Table 1. If there are any differences between predicted and measured values, find the error and correct the problem.
Figure 1: Circuit 1
Table 1: Circuit 1 results
|
Input A |
Input B |
Input C |
Predicted Output |
Measured Output |
|
0 |
0 |
0 |
0 |
0 |
|
0 |
0 |
1 |
0 |
0 |
|
0 |
1 |
0 |
0 |
0 |
|
0 |
1 |
1 |
1 |
1 |
|
1 |
0 |
0 |
1 |
1 |
|
1 |
0 |
1 |
1 |
1 |
|
1 |
1 |
0 |
1 |
1 |
|
1 |
1 |
1 |
1 |
1 |
5. Using Boolean algebra. reduce the expression in step 1 to its simplest Sum-of-Products (SOP) form:
Y=ABC+A’BC+AB+A’BC+AB
=ABC+A’BC+AB+AB’
=ABC+A’BC+A(B+B’)
=BC(A+A’)+A
=BC+A
6. Sketch the circuit for the expression found in step 5 (name this as Circuit 2). Simplified circuit
7. Write down the “predicted output” values for Circuit 2 in Table 2 for given inputs.
8. Construct Circuit 2.
9. For Circuit 2, change inputs A, B, and C using SPDT switches and observe output using digital probe connected to output. Write down “measured output” values in Table 2. These values should be same as predicted values. If there are any differences between predicted and measured values, find the error and correct the problem.
Figure 2: Circuit 2
Table 2: Circuit 2 results
|
Input A |
Input B |
Input C |
Predicted Output |
Measured Output |
|
0 |
0 |
0 |
0 |
0 |
|
0 |
0 |
1 |
0 |
0 |
|
0 |
1 |
0 |
0 |
0 |
|
0 |
1 |
1 |
1 |
1 |
|
1 |
0 |
0 |
1 |
1 |
|
1 |
0 |
1 |
1 |
1 |
|
1 |
1 |
0 |
1 |
1 |
|
1 |
1 |
1 |
1 |
1 |
10. Write the Boolean expression for Y (the output of the circuit in Figure 3).
Y = A'BC + AB'C + ABC + BC'
11. Write down “predicted output” values for Circuit 3 in Table 3 for given inputs.
12. Construct Circuit 3 shown in Figure 3 using components listed in parts list for Circuit 3.
13. For Circuit 3, change inputs A, B, and C using SPDT switches and observe output using digital probe connected to output. Write down “measured output” values in Table 3. If there are any differences between predicted and measured values, find the error and correct the problem.
Figure 3: Circuit 3
Table 3: Circuit 3 results
|
Input A |
Input B |
Input C |
Predicted Output |
Measured Output |
|
0 |
0 |
0 |
0 |
0 |
|
0 |
0 |
1 |
0 |
0 |
|
0 |
1 |
0 |
1 |
1 |
|
0 |
1 |
1 |
1 |
1 |
|
1 |
0 |
0 |
0 |
0 |
|
1 |
0 |
1 |
1 |
1 |
|
1 |
1 |
0 |
1 |
1 |
|
1 |
1 |
1 |
1 |
1 |
14. Using Boolean algebra. reduce the expression in step 10 to its simplest Sum-of-Products (SOP) form:
Y = A'BC + AB'C + ABC + BC'
= BC (A'+A) + AB'C + BC'
= BC + AB'C + BC'
= BC + AC + BC'
=B+AC
15. Sketch the circuit for the expression found in step 14 (name this as Circuit 4).
16. Write down the “predicted output” values for Circuit 4 in Table 4 for given inputs.
17. Construct Circuit 4.
18. For Circuit 4, change inputs A, B, and C using SPDT switches and observe output using digital probe connected to output. Write down “measured output” values in Table 4. These values should be same as predicted values. If there are any differences between predicted and measured values, find the error and correct the problem.
Figure 4: Circuit 4
Table 4: Circuit 4 results
|
Input A |
Input B |
Input C |
Predicted Output |
Measured Output |
|
0 |
0 |
0 |
0 |
0 |
|
0 |
0 |
1 |
0 |
0 |
|
0 |
1 |
0 |
1 |
1 |
|
0 |
1 |
1 |
1 |
1 |
|
1 |
0 |
0 |
0 |
0 |
|
1 |
0 |
1 |
1 |
1 |
|
1 |
1 |
0 |
1 |
1 |
|
1 |
1 |
1 |
1 |
1 |
19. Sketch the circuit for the following Boolean expression (name this as Circuit 5).
Y = (A’BC + A’B’C)’
20. Write down the “predicted output 1” values for Circuit 5 in Table 5 for given inputs.
Figure 5: Circuit 5
Table 5: Circuit 5 results
|
Input A |
Input B |
Input C |
Predicted Output 1 |
Predicted Output 2 |
Measured Output |
|
0 |
0 |
0 |
1 |
1 |
1 |
|
0 |
0 |
1 |
0 |
0 |
0 |
|
0 |
1 |
0 |
1 |
1 |
1 |
|
0 |
1 |
1 |
0 |
0 |
0 |
|
1 |
0 |
0 |
0 |
1 |
1 |
|
1 |
0 |
1 |
1 |
1 |
1 |
|
1 |
1 |
0 |
0 |
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