MAT 2051 Unit 1 Assignment 2 Boolean Circuits and Technology
MAT 2051 Unit 1 Assignment 2 Boolean Circuits and Technology
This is the first of five independent application assignments. Each assignment will allow you to learn how the topics of this course apply to the areas of computer science, Internet technology, or technology applications.
For this assignment, imagine that we are many years into the future and you have been hired by a technology company to create a human door key system. When a person steps on a special mat containing sensors that is located at his or her front door, these sensors grab information, send it through a set of circuits, and reach a one of two logical conclusions:
Yes (or 1), the person lives in this house and may enter.
No (or 0), this person does not live in this house and may not enter.
If the result is yes, the door automatically opens. If the result is no, you can decide what happens.
For this assignment, complete the following:
Define at least five features that can be sensed by the magic door mat such that each feature has a result of 0 or 1. This magical mat can sense anything, such as weight, height, eye color, hair color, gender, and so on. Because the result of the sensor can only be 0 or 1, you will have to think about how to do this. As an example, if the weight is greater than 125, the sensor returns a 1, else a 0. Similarly, if the hair color is NOT brown, the sensor returns a 0, else 1. These are just some ideas.
Explain each of your features clearly, including exactly what the 0 or 1 represents in each case.
Using at least five gates and at least five inputs, create a logical circuit that describes your system. This circuit will have at least five inputs, at least five gates, and one—and only one—output. Remember, the input values to and from the gates are only 0 or 1, but you can name them according to what they represent.
Create a logic table to show some examples of people who will and will not be able to enter. This table will be labeled with your attributes and will contain values of only 0 and 1.
Describe your circuit using a Boolean expression with proper use of AND, OR, and NOT symbols.
Describe what will happen to a person who cannot enter (that is, when the output of the circuit is 0). This is up to you, so feel free to be creative. Include at least one paragraph explaining your circuit, your features, and what will happen in cases where a person can or cannot enter the door. Hint: You can have the door inform the person that they cannot enter and why.
You may find it useful to read Chapter 11, pages 532–542, and look at the examples. You can combine attributes to make sure only the right person gets in. For example, if a person’s weight is greater than or equal to 125, you can have a 1. If the weight is less than 125, you can have a 0. Therefore, if the person weighs 250 pounds, this would result in a 1. You can use the circuit creatively with AND, OR, and NOT gates to grant or deny access using a set of measurable attributes.
Review the Boolean Circuits and Technology Scoring Guide to understand how you will be graded on this assignment.
APA Writing Checklist
Use this document as a checklist for each paper you will write throughout your GCU graduate program. Follow specific instructions indicated in the assignment and use this checklist to help ensure correct grammar and APA formatting. Refer to the APA resources available in the GCU Library and Student Success Center.
☐ APA paper template (located in the Student Success Center/Writing Center) is utilized for the correct format of the paper. APA style is applied, and format is correct throughout.
☐ The title page is present. APA format is applied correctly. There are no errors.
☐ The introduction is present. APA format is applied correctly. There are no errors.
☐ Topic is well defined.
☐ Strong thesis statement is included in the introduction of the paper.
☐ The thesis statement is consistently threaded throughout the paper and included in the conclusion.
☐ Paragraph development: Each paragraph has an introductory statement, two or three sentences as the body of the paragraph, and a transition sentence to facilitate the flow of information. The sections of the main body are organized to reflect the main points of the author. APA format is applied correctly. There are no errors.
☐ All sources are cited. APA style and format are correctly applied and are free from error.
☐ Sources are completely and correctly documented on a References page, as appropriate to assignment and APA style, and format is free of error.
Scholarly Resources: Scholarly resources are written with a focus on a specific subject discipline and usually written by an expert in the same subject field. Scholarly resources are written for an academic audience.
Examples of Scholarly Resources include: Academic journals, books written by experts in a field, and formally published encyclopedias and dictionaries.
Peer-Reviewed Journals: Peer-reviewed journals are evaluated prior to publication by experts in the journal’s subject discipline. This process ensures that the articles published within the journal are academically rigorous and meet the required expectations of an article in that subject discipline.
Empirical Journal Article: This type of scholarly resource is a subset of scholarly articles that reports the original finding of an observational or experimental research study. Common aspects found within an empirical article include: literature review, methodology, results, and discussion.
Adapted from “Evaluating Resources: Defining Scholarly Resources,” located in Research Guides in the GCU Library.
☐ The writer is clearly in command of standard, written, academic English. Utilize writing resources such as Grammarly, LopesWrite report, and ThinkingStorm to check your writing.
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