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Data Representation Numbers

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Presentation on theme: "Data Representation Numbers"— Presentation transcript:

1 Data Representation Numbers
Put these in their order from smallest to largest: Bit, Gigabyte, Kilobyte, Byte, Petabyte, Terabyte, Megabyte, Nibble Data Representation Numbers

2 Convert between binary, denary and hexadecimal numbers.
Data Representation Objectives BEGINNER: Define the units bit, nibble, byte, kilobyte, megabyte, gigabyte, terabyte, petabyte. ADVANCED: Know how data needs to be converted into a binary format to be processed by a computer. EXPERT: Convert between binary, denary and hexadecimal numbers. 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) 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 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. Starter activity 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.

3 Convert between binary, denary and hexadecimal numbers.
Data Representation Objectives BEGINNER: Define the units bit, nibble, byte, kilobyte, megabyte, gigabyte, terabyte, petabyte. ADVANCED: Know how data needs to be converted into a binary format to be processed by a computer. EXPERT: Convert between binary, denary and hexadecimal numbers. 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. 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 Starter activity

4 Convert between binary, denary and hexadecimal numbers.
Data Representation Objectives BEGINNER: Define the units bit, nibble, byte, kilobyte, megabyte, gigabyte, terabyte, petabyte. ADVANCED: Know how data needs to be converted into a binary format to be processed by a computer. EXPERT: Convert between binary, denary and hexadecimal numbers. 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 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) Starter activity

5 Convert between binary, denary and hexadecimal numbers.
Why Binary? Objectives BEGINNER: Define the units bit, nibble, byte, kilobyte, megabyte, gigabyte, terabyte, petabyte. ADVANCED: Know how data needs to be converted into a binary format to be processed by a computer. EXPERT: Convert between binary, denary and hexadecimal numbers. Binary is a number system that is made up of only 1 or 0. Because there is only 2 possibilities we say that this is a base 2 number system. We use binary because a CPU is made up of millions of transistors, that can be in one of 2 states (on/off) Computers use the binary number system to represent data. Carry out the following conversions: 1. 27 2. 131 3. 96 4. 241 Starter activity

6 Convert between binary, denary and hexadecimal numbers.
Why Hexadecimal? Objectives BEGINNER: Define the units bit, nibble, byte, kilobyte, megabyte, gigabyte, terabyte, petabyte. ADVANCED: Know how data needs to be converted into a binary format to be processed by a computer. EXPERT: Convert between binary, denary and hexadecimal numbers. Hexadecimals are used by computer scientists for the following reasons: Binary produces long strings and can be difficult to work with. Hex is shorter. Hex can be easily converted to/from binary as there is 1 hex digit per nibble. Hex is less susceptible to error. Carry out the following conversions: Hexadecimals use the base-16 number system. This means that there are 16 possibilities: 0,1,2,3,4,5,6,7,8,9,A,B,C,D,E,F Notice that we use the values A-F to represent 10-15 1. 37 2. 151 3. 76 4. 222 Starter activity


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