Don't forget to fill out the survey!
1) In class we discussed the plight of Farmer John. At this point, it’s gotten worse. You see, Farmer John decided to buy two alpacas (Alphonse and Albert). These alpacas DO NOT get along. Farmer John has bought 120 ft of fence to fence in these alpacas, but now he realizes he actually needs to create two different pens for the alpacas.
a. The two pens should be the same area.
b. The pens should be made with right angles, similar to the ones we created in class.
DESCRIBE how you came to your conclusions about the pen, and any formulas you may have used. Expect to explain your reasoning in class. A picture would do wonders. You may break apart the fence, if needed.
As a hint--it's not as simple as breaking the fencing into two subsections of 60 ft and going from there.
Part 2: Binary
We talked about binary a little bit in class, but I want to explore it a little more. Adding and subtracting binary numbers is actually a pretty neat exploration into bases.
For each question here, perform the binary operation required. Please feel free to use the internet as a resource, but make sure you understand what is happening when you work with these numbers. Make sure to line things up properly (this can be VERY important). Make sure you could do a simple addition/multiplication/subtraction at the start of class on Monday.
Here is a dry yet useful site, though there are myriad others: http://academic.evergreen.edu/projects/biophysics/technotes/misc/bin_math.htm
Here’s a place you can check your answers (except the multiplication): http://www.csgnetwork.com/binaddsubcalc.html
100 + 011 =
1011 + 0101 =
101101 – 101010 =
11010 * 00011 =
(after these four examples, if you understand it you can stop. if not, try some more problems. You can either make them up, or e-mail me and I can make some up for you).
Part Three: Other number systems.
Find one number system that was used but is no longer currently used (Wikipedia has a pretty good selection to start with, but feel free to find one from somewhere else as well). Make it a system we did not discuss in class. Please provide the following information:
a. When and where the system was used?
b. What are the similarities and differences between the system you chose and:
i. Our current System?
ii. Roman Numeral system?
iii. Babylonian System?
c. Consider a situation where the numeral system you found is better than our current system.