Mm250 Unit 2

Unit 2: Boolean Algebra - Assignment

Total points for Assignment: 35 points.

Assignments must be submitted as a Microsoft Word document and uploaded to the Dropbox for Unit 2.

All Assignments are due by Tuesday at 11:59 PM ET of the assigned Unit.

NOTE: Assignment problems should not be posted to the Discussion threads. Questions on the Assignment problems should be addressed to the instructor by sending an email or by attending office hours.

You must show your work on all problems. If a problem is worth 2 points and you only show the answer, then you will receive only 1 point credit. If you use a calculator or online website, give the source and tell me exactly what you provided as input. For example, if you used Excel to compute 16 * 16, tell me “I typed =16*16 into Excel and got 256. You may type your answer right into this document.

Since this assignment is somewhat unusual in that there are no computations, you will need to compose an explanation of your answer. Pretend you are explaining your solution to your friend (we’ll assume that he/she doesn’t know anything about Boolean Algebra). You are free to use words instead of the symbol in your explanations (e.g. “and” instead of ∧; “arrow” instead of →)

Part I. Basic Computations

1. (4 points – 2 points each) Let p, q, and r represent the following simple statements:

p: The temperature outside is hot

q: The air conditioner in my house is working

r: The temperature in my house feels warm

Write each compound statement in it’s symbolic form, using p, q, and r from above:

a. The air conditioner in my house is not working and the temperature in my house feels warm.

Answer: ~q^r Yes

Explanation: the air conditioner is (not) ~ working (and) the temp in the house is warm.

b. If the temperature outside is hot or the air conditioner in my house is not working then the temperature in my house feels warm.

Answer: (p ∧ ∼ q) → r...