Introduction to Algorithms
3rd Edition
ISBN: 9780262033848
Author: Thomas H. Cormen, Ronald L. Rivest, Charles E. Leiserson, Clifford Stein
Publisher: MIT Press
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Chapter 1.1, Problem 2E
Program Plan Intro
To describe some measures of efficiency other than speed.
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1.[30 pts] Computers generate color pictures on a video screen or liquid crystal display by
mixing three different colors of light: red, green, and blue. Imagine a simple scheme, with
three different lights, each of which can be turned on or off, projecting onto a glass screen:
We can create eight different colors based on the absence (0) or presence (1) of light
sources R,G and B:
R
G
B
Color
0
0
0
Black
0
0
1
Blue
0
1
0
Green
0
1
1
Cyan
1
0
0
Red
1
0
1
Magenta
1
1
1
0
Yellow
1
White
1
Each of these colors can be represented as a bit vector of length 3, and we can apply
Boolean operations to them.
a. The complement of a color is formed by turning off the lights that are on and turning
on the lights that are off. What would be the complement of each of the eight colors
listed above?
b. Describe the effect of applying Boolean operations on the following colors:
Λ
1. Red(100) ^ Magenta(101)= Blue(001)
2. Bue(001) | Green(010)=
3. Yellow(100) & Cyan(011)=
2.[30 pts] Perform the following…
Chapter 1 Solutions
Introduction to Algorithms
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