MODD / Mr. Hansen
9/20/2005

Name: _________________________

Test on Unit 0x00 (Topics 0x01-0x0F)

Time limit: 32 minutes (48 minutes for extended time). No calculator allowed. Do not spend too much time on any single problem. Clues to some problems that you cannot solve initially may be found elsewhere in the test.

 

Part I: Fill-Ins and Short Essays.

 

1.

The letters MODD stand for ________________________________________________ .

 

 

2.

Briefly define or clarify the following terms:

mathematics __________________________________________

digital __________________________________________

data __________________________________________

 

 

3.

In 1931, the famous German mathematician Kurt _______________ proved that any consistent axiomatic system of mathematics must be ______________________ .

 

 

4.

Consider the following sentence:

“This statement cannot be proved using the standard techniques of mathematics.”

Using the standard techniques of mathematics, the sentence above is [circle one]

true     false     undecidable

 

 

5.

Explain in approximately two sentences why the following question has no good yes or no answer: “If God is omnipotent, then can He create a rock that He cannot lift?”

 

 

 

 

 

 

 

 

 

 

 

 

 

 

6.

Base 16 is called ____________________ , or _____ for short. Fill in the blanks in the following sequence.

0x00   0x01   0x02   ______   ______   ______   ______   ______   ______   

______   ______   0x0B   ______   ______   ______   ______   ______   ______   

 

 

7.

Computer logic is called binary because ________________________________________ .

 

 

8.

What is fuzzy logic? ______________________________________________________
______________________________________________________________________

List 5 or 6 possible applications of fuzzy logic, including at least one that was not mentioned in class.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

[There were more questions on the board covering Boolean algebra, circuit diagrams, etc.]