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Unit 2.6 Data Representation Lesson 1 ‒ Numbers © OCR 2016 Starter Put these units in the correct order of size (smallest->largest): • Bit • Gigabyte • Kilobyte • Byte • Petabyte • Terabyte • Megabyte • Nibble © OCR 2016 Learning Objectives • • • • Define the units bit, nibble, byte, kilobyte, megabyte, gigabyte, terabyte, petabyte. Know how data needs to be converted into a binary format to be processed by a computer. Know how to convert positive denary whole numbers (0-255) into 8 bit binary numbers and vice versa Know how to convert from binary and denary into positive hexadecimal numbers (0-255) and back again © OCR 2016 Units The following units describe how much disk space, capacity or data storage is used. • Bit • Nibble • Byte • Kilobyte • Megabyte • Gigabyte • Terabyte • Petabyte © OCR 2016 Introduction to binary Unit 8 Data Representation What is this symbol? Why? © OCR 2016 Introduction to binary Unit 8 Data Representation Creating a circuit • Computers comprise billions of switches to turn voltage on and off © OCR 2016 Introduction to binary Unit 8 Data Representation Representing values • Consider the same byte value 0011 1001 • This is represented in denary as 57 • As an electrical circuit this could be represented as: 0 0 1 1 1 0 0 1 © OCR 2016 Bit • A 'bit' is a Binary Digit • A Binary Digit is the smallest unit of data a computer can store • Each 'bit' is represented using either a 1 (true) or 0 (false) © OCR 2016 Nibble • This is a less known term • It describes a group of 4 bits • A nibble is really useful when converting between binary and hexadecimal • A Nibble will only cover decimal numbers between 0 and 15 © OCR 2016 Byte • A 'byte' is a collection of 8 bits. • It is the ‘building block’ for every other measurement • Keyboard characters generally take up 1 byte (8 bits) of storage • Every other storage measurement is made up from multiples of bytes © OCR 2016 Kilobyte • This is another common unit of measurements • It can be written as kB or kbyte. • A kilobyte can be thought of as 1,000 bytes • However because we are counting in binary, it is actually 1024 bytes • You may use either in an exam! • Kilobytes are often used when talking about document file sizes © OCR 2016 Megabyte • A megabyte is the other most common unit of storage. • It can be written as MB or mbyte. • Like a byte, a megabyte can be thought of as either 1,000 or 1,024 kilobytes • We also use megabytes to measure transmission speeds on the web and also storage space on a CD. © OCR 2016 Gigabyte • A Gigabyte is 1024 Megabytes • Again you can also use 1,000 Megabytes for rough calculations • It can be written as GB or gbyte • You must be careful NOT to use Gb - this used for gigabit • To give you an idea of storage sizes, 1 Gigabyte could hold: ‒ Over 3,000 books ‒ 25% of a typical movie • We often use GB to refer to hard drive sizes © OCR 2016 Terabyte • Terabyte is written as TB • This is 1,024 Gigabytes • More and more hard disks are now measured in Terabytes • A Terabyte can store: ‒ Over 300 hours of video ‒ 1,000 copies of the Encyclopaedia Britannica © OCR 2016 Petabyte • You write a petabyte as PB • A Petabyte is 1024 Terabytes (again you can use 1,000 in exams) • A Petabyte is a massive amount of storage. It could hold: ‒ Over 2,000 years worth of songs, back to back ‒ 315 million photos (3MB each) © OCR 2016 Activity 1 Create a Poster that defines all of the different units of storage. • • • • • Your poster must include: An order to the units in how they are displayed Definition of each unit Examples of what could fit into that unit Colour that makes the poster engaging Stretch & Challenge Research and Include a section on what comes after Petabyte and what could possibly be stored with that capacity. © OCR 2016