Week Five - Writing Assignment

Instead of labeling the sub-parts of the problems with numbers, I have labeled them with letters. Hopefully this way there will be no confusion between when one problem starts and the next one does. If I messed up and you don't understand which answer goes with which question, just ask me and I'll be happy to clarify.

1.
a. 11
b. 42
c. 31
d. 18

2.
a. 11111
b. 110011
c. 111
d. 1100111

3.
a. (56 kilobits/sec) x (1 byte/8 bits) = 56/8 KB/sec = 7 KB/sec
100 MB x (1024 KB/MB) = 102400 KB
102400 KB / (7 KB/sec) = 14628 sec = 237 min = 3.95 hr
It will take 3.95 hours to download a 100 megabyte file on a computer that can download 56 kilobits per second.

b. (5 megabits/sec) x (1 byte/8 bits) = 5/8 MB/sec = 0.625 MB/sec
(1.6 sec/MB) x 100 MB = 160 sec = 2.66 min
It will take 2.66 minutes to download a 100 megabyte file on a computer that can download 5 megabits per second.

c. (10 megabits/sec) x (1 byte/8 bits) = 10/8 MB/sec = 1.25 MB/sec
(0.8 sec/MB) x 100 MB = 80 sec = 1.33 min
It will take 1.33 minutes to download a 100 megabyte file on a computer that can download 10 megabits per second.

4. (3 megabits/sec) x (1 byte/8 bits) = 3/8 MB/second
3/8 MB/sec = 8/3 sec/MB = 0.375 MB/sec
(0.375 MB/sec) x 60 MB = 22.5 sec
(60 sec/min) x (60 minutes/hr) = 3600 sec/hr
(3600 sec/hr) / (22.5 sec/MP3) = 160 MP3/hr
It will take 22.5 seconds to upload a 60 megabyte MP3, thus a computer that uploads 3 megabits per second can upload 160, 60 megabyte MP3s in an hour.