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CHAPTER 3
Data Storage
(Solutions to Practice Set)
Review Questions
1. We discussed five data types: numbers, text, audio, images, and video.
2. If the length of the bit pattern is L bits, the number of symbols that can be repre-
L
sented by the bit pattern is 2 .
3. In the bitmap graphic method each pixel is represented by a bit pattern.
4. In vector graphic method, the size of the file is smaller and the image can be easily
rescaled. However, vector graphic can not be used to represent the details of colors
in a photo.
5. The three steps are sampling, quantization, and encoding.
6. Representations are the same except that the representable range of positive inte-
gers in unsigned method is twice the other methods.
7. In both representations, the upper half of the range represents the negative num-
bers. However, the wrapping is different as shown in Figure S3.7. In addition,
there are two zeros in sign-and-magnitude but only one in two’s complement.
Figure S3.7 Question 7
Wrapping
Minimum −0 +0 Maximum
Wrapping in sign-and-magnitude representation
Wrapping
Minimum 0 Maximum
Wrapping in two’s compl
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