Complete the following in a paper of 1–2 pages:
Simplify the following Boolean expression: AB(A + B)(C + C)
Design the combinatorial circuit for: (p’ *r) + q
Design the combinatorial circuit for:
Complete the truth table of the following Boolean expression:
Prove or disprove that the following 2 expressions are equivalent. Use either the related laws for your proof, or complete the two truth tables:
(A + C)(AD + AD’) + AC + C
A + C
The following is a message coded in ASCII using one byte per character and then represented in hexadecimal notation. What is the message?
4469736372657465204D617468656D617469637320697320434F4F4C21
Convert each of the following signed binary byte representations to its equivalent base-ten representation. What would each byte represent in Binary Coded Decimal? Show your work step by step.
00010001
01011100
1111010 What is the signed binary sum of 1011100 and 1110101 in decimal? Show all of your work.
Convert each of the following base-ten representations to its equivalent two’s complement in 7 bits. Show all of your work.
12
-2
-8
0
Define the highest and lowest integer that can be represented in this 7-bit two’s complement representation.
What bit patterns are represented by the following hexadecimal notations? Show all of your work.
9A88
4AF6
DA
What is the hexadecimal sum of 9A88 and 4AF6 in hexadecimal and decimal? Show all of your work.
Please submit your assignment.
For assistance with your assignment, please use your text, Web resources, and all course materials.
Grading Rubric
Project Criteria Exceeds: 90%–100% Very Good: 80%–89% Meets: 70%–79% Needs Improvement: Below 70%
Content
(75%)
Response covers all topics indicated in the assignment and adds additional content. Response covers most topics indicated in the assignment. Response covers many of the topics indicated in the assignment. Response covers none to some of the topics indicated in the assignment.
Effective Communication
(10%)
Demonstrates outstanding or exemplary application of written, visual, or oral skills. Demonstrates outstanding expression of topic, main idea, and purpose. Audience is addressed appropriately. Language clearly and effectively communicates ideas and content relevant to the assignment. Errors in grammar, spelling, and sentence structure are minimal. Organization is clear. Format is consistently appropriate to assignment. Presentation and delivery are confident and persuasive (where applicable). The writing was of collegiate level with no errors in spelling or grammar. Demonstrates very good written, visual, or oral skills. Demonstrates sound expression of topic, main idea, and purpose. Audience is usually addressed appropriately. Language does not interfere with the communication of ideas and content relevant to the assignment. Errors in grammar, spelling, and sentence structure are present, but do not distract from the message. Organization is apparent and mostly clear. Format is appropriate to assignment, but not entirely consistent. The writing was of collegiate level with two or less errors in spelling or grammar. Demonstrates acceptable written, visual, or oral skills. Demonstrates reasonable expression of topic, main idea, and purpose. Sometimes, audience is addressed appropriately. Language does not interfere with the communication of ideas and content relevant to the assignment. Errors in grammar, spelling, and sentence structure are present and may distract from the message. Organization is a bit unclear. Format is inconsistent. The writing was of collegiate level with several errors in spelling or grammar. Demonstrates inadequate or partially proficient application of written, visual, or oral skills. Demonstrates inadequate or partial expression of topic, main idea, and purpose. Audience is often not addressed appropriately. Language often impedes the communication of ideas and content relevant to the assignment. Errors in grammar, spelling, and sentence structure are frequent and often distract from meaning or presentation. Organization is inadequate, confusing, and distracting. The format is inadequate and obscures meaning. The writing was less than collegiate level with numerous errors in spelling or grammar.
Supporting Analysis
(15%)
Analysis exceeds minimum requirements. Sources are used to support analysis, are appropriate, and are properly referenced. Basic analysis provided to support assertions. Sources are cited, appropriate, and properly referenced. Limited analysis provided to support assertions. Some sources are cited, appropriate, and properly referenced. No or inaccurate analysis, no sources are cited when needed, analysis and/or sources are not appropriate. When sources are used, they are not properly referenced.
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