Answer:
12*10⁶ bits
Explanation:
If the computer monitor has a resolution of 1200 x 1000 pixels, this means that it is capable to show at the same time, 1200 x 1000 = 1,200,000 picture elements (abbreviated pixels) for a complete screen.
If each pixel can show 1024 different colors, in order to represent this quantity in binary, we need to find the least power of 2 equal or higher than 1024.
As 2¹⁰ = 1024, this means that using 10 bits/pixel, we can represent all 1024 different colors.
So, for a complete screen:
10 bits/pixel*1,200,000 pixel/screen
⇒ 12,000,000 bits/screen = 12*10⁶ bits/screen
So, in order to be able to transmit a complete screen at full-color, we will need 12*10⁶ bits.
1.2 × 10⁷ bits is needed to send the complete contents of a screen.
Since the resolution of the pixel is 1200 by 1000 pixels, hence:
Resolution = 1200 × 1000 pixel = 1,200,000 pixels
Each pixel uses 1024 colors, hence the number of bits per pixel (n) is:
2ⁿ = 1024
n = 10 bits
Hence each pixels uses 10 bits, To show the complete contents of a screen, the number of bits needed is:
Number of bits needed = 10 bits per pixel × 1,200,000 pixels
Number of bits needed = 1.2 × 10⁷ bits
1.2 × 10⁷ bits is needed to send the complete contents of a screen.
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