Difference between revisions of "CSC103 Homework Assignment 1"
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| − | =Question 1 (easy)= | + | =Question #1 (easy)= |
Perform the following additions in binary: | Perform the following additions in binary: | ||
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| − | =Question 2 (challenging)= | + | =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. | 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. | ||
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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). | 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 (more challenging)= | |
Perform the addition of the following numbers in base 3. | Perform the addition of the following numbers in base 3. | ||
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</pre></code> | </pre></code> | ||
| − | =Question 4 (easy)= | + | =Question #4 (easy)= |
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)? | 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 (moderately challenging)= | + | =Question #5 (moderately challenging)= |
Why is electricity a good source of energy for computers? | 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! :-) | 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! :-) | ||
Latest revision as of 07:51, 10 September 2008
This homework assignment is due on Wednesday Sept. 17th, at 9:00 a.m. No late assignments will be accepted.
Contents
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 (more challenging)
Perform the addition of the following numbers in base 3.
1002 + 1101 =
2222 + 0001 =
Question #4 (easy)
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 (moderately challenging)
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! :-)
