Question 111511: I am completely clueless to even where I begin. Please help!
Solve: George Lucas pioneered the use of digital movie cameras. Assume that
his camera has a swappable 80GB hard drive, that it records each pixel in x-bit
color, that there are 26 frames recorded per second, and that each frame
recorded is in 1600x1200 resolution.
a. Create a polynomial function that gives the number of minutes of video that
can be recordeed before swapping hard drives as a function of x (the number of
bits used to encode the color of each pixel)
b. Evaluate this function for x=32 (32-bit true color
Answer by solver91311(24713)   (Show Source):
You can put this solution on YOUR website! 1600 x 1200 resolution means that there are 1600 times 1200 pixels in each frame. And each pixel requires x bits. That means that each frame requires storage for 1920000 times x bits of information. Now we also know that 26 frames are recorded per second and that there are 60 seconds in a minute. So one minute of recording would require 60 * 26 * 1920000 * x bits or 2995200000x bits per minute (bpm).
:
An 80GB hard drive has 80 billion bytes of storage capacity. A byte is 8 bits. The normal meaning of billion is  , but when you are talking about computer storage, a kilobyte is actually 1024 bytes because everything is based on powers of 2. So a gigabyte is actually  and 80 times that is 85,899,345,920 bytes. The total storage capacity in bits is then 8 times that or 687,194,767,360 bits.
:
So our relationship is  or with our numbers:
:
for x = 32, 
:
If your instructor wants you to use the standard definition of a billion, then change the numerator of the fraction to 8 * 80 * 1,000,000,000 = 640,000,000,000 and your answer should be a little over 6.6 minutes.
|
|
|
