One magazine article is presented as a video.The video takes 7 minutes to download.The mean network speed is 50.4 Mbits per second.The formula to calculate the file size is:File size in bits Transfer time in seconds speed in bits p eer secondConstruct an expression to show how big the video is in gibibytes.You do not need to do the calculation.(4)(Total for Question 1 = 14 marks)
Question
One magazine article is presented as a video.The video takes 7 minutes to download.The mean network speed is 50.4 Mbits per second.The formula to calculate the file size is:File size in bits Transfer time in seconds speed in bits p eer secondConstruct an expression to show how big the video is in gibibytes.You do not need to do the calculation.(4)(Total for Question 1 = 14 marks)
Solution
The formula to calculate the file size is given as:
File size in bits = Transfer time in seconds * speed in bits per second
Given that the transfer time is 7 minutes (which is 7*60 = 420 seconds) and the speed is 50.4 Mbits per second, the expression for the file size in bits is:
File size in bits = 420 seconds * 50.4 Mbits per second
However, the question asks for the file size in gibibytes. To convert from bits to gibibytes, we need to know that 1 gibibyte = 8 * 1024^3 bits. Therefore, the expression for the file size in gibibytes is:
File size in gibibytes = (420 seconds * 50.4 Mbits per second) / (8 * 1024^3)
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