Consider a digital video clip exactly 10 minutes long that was shot at a frame r

Question

Consider a digital video clip exactly 10 minutes long that was shot at a frame rate of 25 fps, a frame size with width W = 640 pixels and height H = 480 pixels, and a color depth of 24 bits. , this color depth allows for 2^(24) = 16.777216 million different gradations of color information.) Given the above information, calculate the following quantities. (For the last part you will need to know that 1 byte = 8 bits.) 1) Each frame includes how many pixels? Give an exact, integer answer. 2) How many bits are needed for each frame? [Hint: bits/frame = (bits/pixel)*(pixels/frame)]. You should be able to give the answer as an exact integer, but we'll accept any answer within 1% of that integer. 3)How large is the digital file containing the (exactly) 10-minute long movie clip? Give the answer in bits. Again, you should be able to give the answer as an exact integer, but we'll accept any answer within 1% of that integer. 4)Give the answer in bytes. Again, you should be able to give the answer as an exact integer, but we'll accept any answer within 1% of that integer. THANK YOU!!

Explanation / Answer

This is actually really easy. It's simple multiplication and division. Number of bits per frame = (640 * 480) pixels * 24 bits/pixel = 7372800 bits/frame Bit rate = 25 frames/sec * 7372800 bits/frame = 184,320,000 bits/sec Number of bytes per frame = 7372800 bits/frame / 8 bits/byte = 921,600 bytes/frame # of frames = 10 minutes * 60 sec/min * 25 frames/sec = 15000 frames Number of bytes total = 921600 bytes/frame * 15000 frames = 13,824,000,000 bytes = 13.824 GB

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