CSC103 Homework 1 2012f

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--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!


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--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 =