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3. In this problem, you will calculate the cost of transmitting various forms of

ID: 3751975 • Letter: 3

Question

3. In this problem, you will calculate the cost of transmitting various forms of multimedia across a mobile data channel. Assume that your mobile data plan costs you $30 for 2GB (where 1GB is 1,024MB, 1MB is 1,024 KB, and 1KB is 1,024 bytes). Assume, also, that you pay proportionally. That is, if your usage is not an increment of 2GB then you pay only for the fraction that you use (whether it is less or more than 2GB) a) Calculate how much it would cost for you to download all of Shakespeare's plays where the total word count of all his plays is 835,997. Assume the average word length is five letters and that you represent each letter using a byte (we are ignoring spaces, punctuation, and formatting) b) Calculate how much it would cost you to download a single image from a Canon EOS 5D Mark III DSL R camera without any compression This camera produces 22.3 mega-pixel images where 1 mega-pixel = 1,024 × 1,024 pixels and each pixel is represented using three bytes, one for each of the red, green, and blue color channel:s c) Calculate how much it would cost to download a one-hour ultra high definition 4k video without compressior A 4k video has 60 frames per second where each frame measures 3,840 by 2,150 pixels. Again, assume each pixel is represented using three bytes

Explanation / Answer

1GB = 1024MB
1MB = 1024KB
1KB = 1024BYTE

Answer A
*********

In defination Given words are = 835997
Each word is 5 leters
Total letters = 835997x5 = 4179985
Total 4179985 bytes Converting to GB = 4179985 / 1024 = 4082.01 KB so it is almost to pay double $60 for 4GB

Answer B
********
multiplying 22.3 megabytes by 1,048,576 and the result is 23,383,244.8 bytes

From given measurement
***********************
multiplying 22.3 megabytes by 1,024 and the result is 22835.2 bytes


1MB = 1024x1024
3byte = 1pixel

so 1024*1024*3=31,45,728 pixel if for 1 mb
22.3mb*3145728=70,149,734.3 Bytes = 66.8999 Megabytes

Answer C
********

3840x2150x3*60= 148,608,000.3 Bytes = 141.7236 Megabytes per second


Thanks

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