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Thread: Need help with Scientific Notations

  1. #1
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    Need help with Scientific Notations

    Good evening all,

    I need some understanding on how to do scientific notations as I have not done any maths since the 80's; this is something new to me as I would need to know how I can express Mpbs in bits per second (bps) using scientific notation.

    Calculate the time it takes to download the 235KB file over a connection of: 84.84 mbps and 2.49 mbps in scientific notations and round it off to three significant figures.

    Thank you in advance for your help
    Last edited by AJAB; Mar 21st 2015 at 01:38 PM.
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  2. #2
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    Re: Need help with Scientific Notations

    When dealing with file sizes the capitalisation of the b is important. One byte is equal to eight bits (1B=8b). Download speeds are usually done in Mbps instead of MBps because they can advertise a number that looks 8 times bigger.
    First convert the file size from KB to Kb by multiplying by 8.
    235\ KB\times 8= 1880\ Kb

    The notation used in computer science is actually different from the regular SI system because when dealing with binary it is easier to work with a slightly different system
    Since one kilobit is 1024 bits the file size is multiplied by 1024 to change it into bits
    1880\ Kb \times 1024= 1925120\ b

    Now for the download speed. Since 1 megabit is 1048576 bits the speed is multiplied by 1048576 to get it into bits per second
    84.84\ Mbps \times 1048576= 88961187\ bps

    Dividing the file size by the download speed give the download time in seconds
    1925120 \div 88961187= 0.0216\ s
    Last edited by Shakarri; Mar 21st 2015 at 01:56 PM.
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  3. #3
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    Re: Need help with Scientific Notations

    Thank you Shakarri,

    Sorry I migt have some typing error as indeed it was KB and Mbps so would I need to do the first step?

    So would 235KB be calculated by 1000 bits = 235,000

    89.84 Mbps and 2.49 Mbps in bits per second (bps) using scientific notation?

    Would the answer be the same for calculating the download time for a file over 235KB over a connection of 89.84 Mbps and 2.49 Mbps?
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    Re: Need help with Scientific Notations

    Quote Originally Posted by AJAB View Post
    Thank you Shakarri,

    Sorry I migt have some typing error as indeed it was KB and Mbps so would I need to do the first step?
    Yes you would still need to do the first step

    So would 235KB be calculated by 1000 bits = 235,000
    You might have seen my post before I edited it, originally I wrote that to convert you should multiply by 1000 like that, but then I remembered that the "kilo" prefix in computer science is 1024 times not 1000 times. You would multiply 235 by 8 to get from kilobytes to kilobits and then multiply by 1024 to get from kilobits to bits

    Would the answer be the same for calculating the download time for a file over 235KB over a connection of 89.84 Mbps and 2.49 Mbps?
    Yes the procedure is the same; convert the speed of 2.49Mbps into bps and do the division to get the time to download
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  5. #5
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    Re: Need help with Scientific Notations

    Thanks Shakarri,

    So let me check if this is correct with you please.

    89.84 Mbps x 1048576 = 94204067.84 bps
    2.49 Mbps x 1048576 = 2610954.24 bps

    235KB = 235 x 1024B
    = 240640
    = 240620 x 8b
    = 1925120b

    Then I would 1925120 / 94204067.84 = 0.0204356358?

    How would I then round all of the caculations into 3 significant figures the answer of 1925120, 94204067.84 and etc?

    Sorry to ask you all these questions as I have not studied since the 80s and need understanding on this part of maths.

    Kind regards
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  6. #6
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    Re: Need help with Scientific Notations

    Hi AJAB,

    Did you get any confirmation to your last post? Was it CORRECT?? I am trying the solution above for my calculations (also haven't studied anything since 190... well almost.
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  7. #7
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    Re: Need help with Scientific Notations

    Quote Originally Posted by devinesunshine75 View Post
    Hi AJAB,

    Did you get any confirmation to your last post? Was it CORRECT?? I am trying the solution above for my calculations (also haven't studied anything since 190... well almost.
    I doubt the OP is around anymore since the original post is almost 2 years old ...

    Why don't you post your problem in this forum by starting a new thread?
    Thanks from topsquark
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  8. #8
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    Re: Need help with Scientific Notations

    hello guys i am new in this site. this site is best for our doubts share and most of the people are response quickly.
    but i don't know some thread topics so i think you ask any expert. i am very well skill to learn on this forum site..........
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    .......................
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