Focus Study Communication 2 (FSCo2) Digital Download & File Storage. G. Georgiou

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1 Focus Study Communication 2 (FSCo2) Digital Download & File Storage Name 1 General Mathematics (Preliminary Course) Digital Downloads & File Storage G. Georgiou

2 Use Prefixes to Describe the Size of Units of Storage Convert Units of Storage from Bits to Bytes and Vice Versa Convert between Units for Measuring Memory Size, File Size and Secondary Storage on Devices such as USB Drives and External Hard Drives The units we use when storing information on our computer have: Bits VS Bytes 1 bit is a single digit number it stands for a 0 or 1. The abbreviation of bit is b NOT B. 1 Byte is a string of 8 bits. Together these 8 bits (or 1 byte) form a character like & or t. Converting between Bits Bit (b) Kilobit (kb) megabit (Mb) gigabit (Gb) terabit (Tb) Example 1 (a) 5600 b = kb (b) 250 Mb = kb (c) Gb = kb 2 General Mathematics (Preliminary Course) Digital Downloads & File Storage

3 Converting between Bytes 1 byte = 8 bits. The abbreviation of bit is B NOT b. Do not confuse kilobits and kilobytes. These are 2 totally different sets of units. Bytes(B) Kilobyte (kb) Megabyte (MB) gigabyte (GB) terabyte (TB) The following examples will give you a rough idea of the file sizes of some typical files. Album 100MB Movie 4GB Song 10MB 3 General Mathematics (Preliminary Course) Digital Downloads & File Storage

4 Letter 30KB External Hard Drive 1TB Example 2 (a) 16 MB = kb (b) 4000 MB = GB (c) 256 kb = kb 4 General Mathematics (Preliminary Course) Digital Downloads & File Storage

5 Example 3 The ipod Nano can store 16GB of information. If Emily purchased an ipod and completely filled it with songs whose average file size was 9.8MB, how many songs would she be able to store on her ipod? Activity Ex ALL 5 General Mathematics (Preliminary Course) Digital Downloads & File Storage

6 Calculate the Time to Download or Upload a File given a Download or Upload Speed in bits per second or kilobits per second where a kilobit is defined as 1000 bits The speed of how quickly an item can be downloaded or uploaded from the internet can be determined using two rates. Bits per second (b / s) Kilobits per second (kb / s) The following table gives us a rough indication of some of the download speeds available in Australia. Connection Dial- up Satellite Wireless Next G Broadband 1 Broadband 2 NBN cable Download Speed 56.6kbps 100kbps 125kbps 7200 kbps kbps kbps kbps When completing these questions: 1. Convert the file size to bits (and then kilobits depending on what speed was given) 2. Use the distance / speed / time (DST) triangle to solve the problem but replace distance with data. Example 4 It took 2 minutes and 4 seconds to download a 13.2 MB video file. Calculate the download speed correct to the nearest kbps. 6 General Mathematics (Preliminary Course) Digital Downloads & File Storage

7 Example 5 Find the time taken to download the movie The Avengers which is a 2.5 GB video using the NBN cable at a speed of kbps. Activity Ex ALL 7 General Mathematics (Preliminary Course) Digital Downloads & File Storage

8 Collect, Display and Analyse Data on the Downloading of Music and Videos Interpret Statistics Related to the Effect of Downloading Audio Files and Video Files, Legally and Illegally, on the Sales of Media Companies Calculate the Probabilities of Songs being Played using the Random Selection Mode Example 6 Using the following information, give reasons as to why there has been a decline in album sales. Ensure your response is supported by the information presented in these graphs. 8 General Mathematics (Preliminary Course) Digital Downloads & File Storage

9 9 General Mathematics (Preliminary Course) Digital Downloads & File Storage

10 Example 7 The following graph show the number of illegal song downloads in each of the following countries in (a) Round the number of illegal Australian downloads correct to 3 significant figures. (b) In 2012 Australia has illegal downloads. Determine the percentage increase from 2010 to General Mathematics (Preliminary Course) Digital Downloads & File Storage

11 (c) If the population of Australia is 22 million and the population of Greece is 11 million, which country has the highest number of illegal downloads per capita? Use mathematical calculations to support your answer. (d) If the cost of a song is $1.20, estimate how much money Australia is not contributing to the music industry. Example 8 In 2012, Coke launched a campaign where all cans and bottles of Coke products had different years printed on the labels. People could purchase these and then by scanning a code, they could listen to music from that particular year. The top 5 songs for 2012 were: Bruno Mars Locked Out Of Heaven Rihanna Diamonds Kesha Die Young The Lumineers Hey Ho Maroon 5 One More Night 11 General Mathematics (Preliminary Course) Digital Downloads & File Storage

12 (a) What is the probability that Maroon 5 would play first, if an ipod was on shuffle mode and these were the only 5 songs on the ipod? (b) If Rihanna s song was 7.8 MB, how long would it take to download on a network whose speed is 56 kbps? Example 9 An ipod has 700 songs on it. It is always listened to on shuffle mode. (a) There are 140 Beatles songs on the ipod. What is the probability that the first song played is a Beatles song? (b) The first song was a Beatles song. What is the probability that the second song is also a Beatles song? (NB: Shuffle mode never repeats songs). Activity Ex Q 3, 5, 6, 7, 8, 9, 10, 12, 13, General Mathematics (Preliminary Course) Digital Downloads & File Storage

b A bit is the basic unit for storing electronic data, for example an MP3 file. The term bit is a

b A bit is the basic unit for storing electronic data, for example an MP3 file. The term bit is a Digital download and file storage Syllabus: FSCo2 Focus Study: Mathematics and Communication Digital Storage b A bit is the basic unit for storing electronic data, for example an MP3 file. The term bit

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