A system with 32768 possible colors
Question 2:
A system with 32768 possible colors is used to transmit ? × ? pixel image.
- What is the color depth of this system?
- How much storage is required for one image?
- What is the system bit rate if one image takes 1.3169 sec for transmission?
Part1. The color depth of the system with 32768 possible colors:
A bit refers to the smallest unit of information that can either 0 or 1.
1 bit = either 0 or 1
2 bit = 22 = 4 different combination of 0s and 1s (00, 01, 10, 11)
3 bit = 23 = 8 different represntations
The color depth of an image is calculated in terms of bits which indicates maximum possible colours available per pixel.
Similarly, calculate system color depth (say x) in bits with 32768 possible colors as:
2x = Number of possible colors
2x = 32768
Thus, x = 15 which represents color depth.
Part2. Storage required for one image
Take the image resolution M x N, where M = 1024 and N = 768
Number of pixels in an image = M x N with required 15 bits per pixel
= 1024 x 768 x 15 bits
= 11,796, 480 bits
Therefore, storage is required by one image = 11,796, 480 bits.
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