Difference between revisions of "CSC103 Homework 1 2012f"
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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. | 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. | ||
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=Question #4= | =Question #4= | ||
| − | + | Assume that we have several boolean expressions, labeled E1 to E6: | |
| + | |||
| + | * E1: is a Smith student | ||
| + | * E2: is a senior | ||
| + | * E3: likes vanilla | ||
| + | * E4: has class on Monday | ||
| + | * E5: is a Hampshire student | ||
| + | * E6: is on the crew team | ||
| + | |||
| + | What is the boolean expression that is a combination of E1, E2, E3, E4, and/or E5, and the logic operators AND, OR, and NOT, that will be True whenever I find somebody on campus who is a Hamshire College student and who does not like vanilla? | ||
| + | |||
| + | '''Hints''': | ||
| + | # ''see if you can discard any of the boolean expressions, and write the truth table for the wanted expression.'' | ||
| + | # ''generating the truth table for what you want will help you get the boolean expression.'' | ||
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Latest revision as of 09:21, 13 September 2012
--D. Thiebaut 07:53, 11 September 2012 (EDT)
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 =
Question #4
Assume that we have several boolean expressions, labeled E1 to E6:
- E1: is a Smith student
- E2: is a senior
- E3: likes vanilla
- E4: has class on Monday
- E5: is a Hampshire student
- E6: is on the crew team
What is the boolean expression that is a combination of E1, E2, E3, E4, and/or E5, and the logic operators AND, OR, and NOT, that will be True whenever I find somebody on campus who is a Hamshire College student and who does not like vanilla?
Hints:
- see if you can discard any of the boolean expressions, and write the truth table for the wanted expression.
- generating the truth table for what you want will help you get the boolean expression.
