MODD / Mr. Hansen
10/23/2006

Name: _________________________

Test #1b

A calculator is permitted. 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: Essays (18 pts. each).

 

1.

Give 3 examples of analog quantities or phenomena, and give 3 examples of digital quantities or phenomena. For each of these 6 items, write a sentence to explain precisely why it is analog (or digital).

 

 

 

 


 

2.(a)

Sketch a circuit diagram that captures the following logic (where the symbol Å indicates XOR):

~(A · B) + ~(B
Å C)

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(b)

Use a truth table to prove that the logic requested in (a) is not equivalent to A + B + C. If you are stuck, you can purchase a hint for a couple of points.


Part II: Problems/Short Essays (10 pts. each). Show work if you desire partial credit.

 

3.

Perform the hex addition BECCA + F0AB, and give your answer in hex.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

4.

In approximately what year will computers be 2,000 times more powerful than they are today?

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

5.

Audio for CDs is sampled at 44.1 KHz. Explain why a sampling rate of 10 KHz would be unacceptable.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

6.

Suppose that before sampling an audio signal at 10 KHz (as in #5), we first run the signal through a low-pass filter that strips out all signal components below 4.5 KHz. Would the results be acceptable now? Explain your answer.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 


 

7.

Compute the S/N ratio for

(a)

. . . a process that performs A/D conversion with 20-bit samples.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(b)

. . . a process in which the signal power is at 50,000 watts when the noise is at 2 watts.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

8.

Give the term for the A/D conversion process. Hint: It begins with the letter Q. Then explain why this process always creates some noise.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

9.(a)

Briefly explain the difference between bit depth and pixel resolution in digital images.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(b)

Compute the storage requirement (in KB) for a 300 x 400 image that uses 24 bits per pixel.