Difference between revisions of "CSC103 Homework 1 2012f"
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+ | --[[User:Thiebaut|D. Thiebaut]] 20:07, 31 January 2012 (EST) | ||
+ | ---- | ||
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+ | <!--center> | ||
+ | <font size="+2">Page under construction!</font> | ||
+ | <br \>[[File:UnderConstruction.jpg|300px]] | ||
+ | </center--> | ||
+ | |||
+ | <tanbox> | ||
+ | This homework assignment is''' due''' on '''Thursday Sept. 20th, at 9:00 a.m'''. Please print it or write it on paper, and bring it to class on the due date. | ||
+ | <font color="#ff0000">No late assignments will be accepted.</font> | ||
+ | </tanbox> | ||
+ | |||
+ | |||
+ | =Question #1= | ||
+ | |||
+ | Count in binary and write down first 33 numbers of the series. In other words, complete the second column in the list below. | ||
+ | |||
+ | Decimal Binary | ||
+ | 0 0 | ||
+ | 1 1 | ||
+ | 2 10 | ||
+ | 3 11 | ||
+ | 4 ... | ||
+ | 5 | ||
+ | 6 | ||
+ | 7 | ||
+ | 8 | ||
+ | 9 | ||
+ | 10 | ||
+ | 11 | ||
+ | 12 | ||
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+ | 19 | ||
+ | 20 | ||
+ | 21 | ||
+ | 22 | ||
+ | 23 | ||
+ | 24 | ||
+ | 25 | ||
+ | 26 | ||
+ | 27 | ||
+ | 28 | ||
+ | 29 | ||
+ | 30 | ||
+ | 31 | ||
+ | 32 | ||
+ | |||
+ | Perform the following additions in binary: | ||
+ | |||
+ | <code><pre> | ||
+ | |||
+ | 10011 + 10011 = | ||
+ | |||
+ | 10111 + 00110 = | ||
+ | |||
+ | </pre></code> | ||
+ | |||
+ | =Question #2= | ||
+ | |||
+ | Assume that we live in a universe where everybody only has 4 fingers. Just as we did in class with a system of 2 digits (binary code), we invente a system for counting with only 4 digits: 0, 1, 2, and 3. | ||
+ | |||
+ | * Write the first 20 numbers of a system with 4 digits. To help you out, I will start with the first 7 numbers of the series: | ||
+ | |||
+ | 0 | ||
+ | 1 | ||
+ | 2 | ||
+ | 3 | ||
+ | 10 | ||
+ | 11 | ||
+ | 12 | ||
+ | ... | ||
+ | |||
+ | Continue on until you have 20 consecutive numbers of a system in base 4. | ||
+ | |||
+ | =Question #3= | ||
+ | |||
+ | Perform the addition of the following numbers in base 4. | ||
+ | |||
+ | <code><pre> | ||
+ | |||
+ | 1002 + 2301 = | ||
+ | |||
+ | 2222 + 3301 = | ||
+ | |||
+ | </pre></code> | ||
+ | |||
+ | |||
+ | |||
+ | <br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /> | ||
<br /> | <br /> | ||
[[Category:CSC103]][[Category:Homework]] | [[Category:CSC103]][[Category:Homework]] |
Revision as of 06:59, 13 September 2012
--D. Thiebaut 07:53, 11 September 2012 (EDT)
This homework has not been released yet. It will be released on Thursday, 9/13/12, in the evening and will be due a week later...
Stay tuned!
--D. Thiebaut 20:07, 31 January 2012 (EST)
This homework assignment is due on Thursday Sept. 20th, at 9:00 a.m. Please print it or write it on paper, and bring it to class on the due date. No late assignments will be accepted.
Question #1
Count in binary and write down first 33 numbers of the series. In other words, complete the second column in the list below.
Decimal Binary 0 0 1 1 2 10 3 11 4 ... 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32
Perform the following additions in binary:
10011 + 10011 =
10111 + 00110 =
Question #2
Assume that we live in a universe where everybody only has 4 fingers. Just as we did in class with a system of 2 digits (binary code), we invente a system for counting with only 4 digits: 0, 1, 2, and 3.
- Write the first 20 numbers of a system with 4 digits. To help you out, I will start with the first 7 numbers of the series:
0 1 2 3 10 11 12 ...
Continue on until you have 20 consecutive numbers of a system in base 4.
Question #3
Perform the addition of the following numbers in base 4.
1002 + 2301 =
2222 + 3301 =