Difference between revisions of "CSC103 2011 Homework 1"
(Created page with "<center> <font size="+2">Page under construction!</font> <br \>300px </center>") |
|||
| (5 intermediate revisions by the same user not shown) | |||
| Line 1: | Line 1: | ||
| − | <center> | + | --[[User:Thiebaut|D. Thiebaut]] 17:13, 26 January 2011 (EST) |
| + | ---- | ||
| + | |||
| + | <!--center> | ||
<font size="+2">Page under construction!</font> | <font size="+2">Page under construction!</font> | ||
<br \>[[File:UnderConstruction.jpg|300px]] | <br \>[[File:UnderConstruction.jpg|300px]] | ||
| − | </center> | + | </center--> |
| + | <onlydft> | ||
| + | |||
| + | This homework assignment is''' due''' on '''Wednesday Feb. 2nd, 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> | ||
| + | |||
| + | |||
| + | =Question #1 (easy)= | ||
| + | |||
| + | Write all the integer numbers equivalent to 1 to 32 decimal in binary. In other words, complete the list of number in the second column 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: | ||
| + | |||
| + | <code><pre> | ||
| + | |||
| + | 10001 + 10011 = | ||
| + | |||
| + | 11011 + 00101 = | ||
| + | |||
| + | </pre></code> | ||
| + | |||
| + | =Question #2 (challenging)= | ||
| + | |||
| + | 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 5 numbers of the series: | ||
| + | |||
| + | 0 | ||
| + | 1 | ||
| + | 2 | ||
| + | 3 | ||
| + | 10 | ||
| + | ... | ||
| + | |||
| + | Continue on until you have 20 consecutive numbers of a system in base 4. | ||
| + | |||
| + | =Question #3 (more challenging)= | ||
| + | |||
| + | Perform the addition of the following numbers in base 4. | ||
| + | |||
| + | <code><pre> | ||
| + | |||
| + | 1002 + 1301 = | ||
| + | |||
| + | 2222 + 1301 = | ||
| + | |||
| + | </pre></code> | ||
| + | |||
| + | |||
| + | =Question #4 (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! :-) | ||
| + | |||
| + | Express your answer in seconds, or milliseconds (0.001 sec), or microseconds (0.000001 sec). | ||
| + | |||
| + | </onlydft> | ||
