Difference between revisions of "CSC103 Homework Assignment 1"
(New page: This homework assignment is due on Wednesday Sept. 17th, at 9:00 a.m. No late assignments will be accepted. =Question 1= Perform the following additions in binary: 10001 + 10011 ...) |
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This homework assignment is due on Wednesday Sept. 17th, at 9:00 a.m. No late assignments will be accepted. | This homework assignment is due on Wednesday Sept. 17th, at 9:00 a.m. No late assignments will be accepted. | ||
| − | =Question 1= | + | |
| + | =Question 1 (easy)= | ||
Perform the following additions in binary: | Perform the following additions in binary: | ||
| − | 10001 | + | <code><pre> |
| − | + | + | |
| − | - | + | 10001 + 10011 = |
| + | |||
| + | 11011 + 00101 = | ||
| + | |||
| + | </pre></code> | ||
| + | |||
| + | =Question 2 (challenging)= | ||
| + | |||
| + | Assume that we live in a universe where everybody only has 3 fingers. Just as we did in class with a system of 2 digits (binary code), we invente a system for counting with only 3 digits: 0, 1, and 2. | ||
| + | |||
| + | * Write the first 15 numbers of a system with 3 digits. To help you out, I will start with the first 5 numbers of the series: | ||
| + | |||
| + | 0 | ||
| + | 1 | ||
| + | 2 | ||
| + | 10 | ||
| + | 11 | ||
| + | ... | ||
| + | |||
| + | Continue on until you have 15 consecutive numbers of a system in base 3 (that's the name of a system where we only have 3 digits. The decimal system is a system in base 10. The binary system is a system in base 2). | ||
| + | |||
| + | =Question 3 (harder; optional and extra credit)= | ||
| + | |||
| + | Perform the addition of the following numbers in base 3. | ||
| + | |||
| + | <code><pre> | ||
| + | |||
| + | 1002 + 1101 = | ||
| + | |||
| + | 2222 + 0001 = | ||
| + | |||
| + | </pre></code> | ||
| + | |||
| + | =Question 4= | ||
| + | |||
| + | Why is it that when you go to a computer store to buy a USB memory stick, you find only sticks with capacities that read 128 X, 512 X, 1 Y, 2 Y, 4 Y, 8 Y (where X and Y represent some unit of memory storage)? | ||
| + | |||
| + | =Question 5= | ||
| + | |||
| + | Why is electricity a good source of energy for computers? | ||
| + | |||
| + | How fast does it take electricity to go from on point on earth to another point on the other side of the earth, assuming a metal wire could stretch between these two points? You'll have to do some research and find the speed of light and the circumference of the earth. Remember that we have a quantitative center that can help you if you find this part of the assignment not intuitive, which is perfectly Ok in this class! :-) | ||
Revision as of 07:48, 10 September 2008
This homework assignment is due on Wednesday Sept. 17th, at 9:00 a.m. No late assignments will be accepted.
Question 1 (easy)
Perform the following additions in binary:
10001 + 10011 =
11011 + 00101 =
Question 2 (challenging)
Assume that we live in a universe where everybody only has 3 fingers. Just as we did in class with a system of 2 digits (binary code), we invente a system for counting with only 3 digits: 0, 1, and 2.
- Write the first 15 numbers of a system with 3 digits. To help you out, I will start with the first 5 numbers of the series:
0 1 2 10 11 ...
Continue on until you have 15 consecutive numbers of a system in base 3 (that's the name of a system where we only have 3 digits. The decimal system is a system in base 10. The binary system is a system in base 2).
=Question 3 (harder; optional and extra credit)=
Perform the addition of the following numbers in base 3.
1002 + 1101 =
2222 + 0001 =
Question 4
Why is it that when you go to a computer store to buy a USB memory stick, you find only sticks with capacities that read 128 X, 512 X, 1 Y, 2 Y, 4 Y, 8 Y (where X and Y represent some unit of memory storage)?
Question 5
Why is electricity a good source of energy for computers?
How fast does it take electricity to go from on point on earth to another point on the other side of the earth, assuming a metal wire could stretch between these two points? You'll have to do some research and find the speed of light and the circumference of the earth. Remember that we have a quantitative center that can help you if you find this part of the assignment not intuitive, which is perfectly Ok in this class! :-)
