High-definition television (HDTV) generates images with a resolution of 1125 hor

Question

High-definition television (HDTV) generates images with a resolution of 1125
horizontal TV lines interlaced (where every other line is painted on the tube face
in each of two fields, each field being 160th of a second in duration).The widthto-
height aspect ratio of the images is 16 : 9.The fact that the horizontal lines are
distinct fixes the vertical resolution of the images.A company has designed an
image capture system that generates digital images from HDTV images.The resolution
of each TV (horizontal) line in their system is in proportion to vertical resolution,
with the proportion being the width-to-height ratio of the images. Each
pixel in the color image has 24 bits of intensity resolution, 8 pixels each for a red,
a green, and a blue image.These three “primary” images form a color image.How
many bits would it take to store a 2-hour HDTV program/movie?

Explanation / Answer

We need to see how many bits it takes to store one 1/80 second image (two interlaced 1/160 second fields which will total 1125 lines).

There are 1125 pixels counting vertically. Since the horizontal resolution is proportional to the vertical resolution according to the aspect ratio, we know there are 1125 pixels counting horizontally (the actual aspect ratio is irrelevant).

The total image has 1125 x 1125 = 1265625 pixels.

Each pixel has 24 bits of intensity information [your post reads "...8 pixels each..." and I think you meant "...8 bits each..."] for a total of 30,375,000 bits per image.

in two hours there are 7200 seconds; or 7200 x 80 = 576,000 intervals of 1/80 second. So the total number of bits to store a 2 hour movie is 30,375,000 x 576,000 = 1.7496 x 1013.

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