Binary Aim: Explain binary and binary units Objective 1: Convert positive denary whole numbers (0-255) into 8-bit binary numbers and vice versa Objective.

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Presentation transcript:

Binary Aim: Explain binary and binary units Objective 1: Convert positive denary whole numbers (0-255) into 8-bit binary numbers and vice versa Objective 2: Add two 8-bit binary integers and explain overflow errors which may occur Objective 3: Define the terms bit, nibble, byte, kilobyte, megabyte, gigabyte, terabyte

talk to the hands! Binary What is a denary number? 234 Why Base 10?

Binary What is a binary number? Binary is the universal language of computers 1s Why Base 2?

Binary Converting denary to binary 234 1s = = = =2

Binary Converting denary to binary - EXERCISE Convert the following to 8 bit binary:

Binary Converting denary to binary – Online Game

Binary Adding binary to binary Adding 8 bit binary numbers THREE RULES! = = = 0 (carry 1) DEC

Binary Adding binary to binary Adding 8 bit binary numbers OVERFLOW! ERROR OVERFLOW! ERROR DEC

Binary Adding binary to binary - EXERCISE = = = =

Binary Adding binary to binary - EXERCISE =

Binary Adding binary to binary - EXERCISE =

Binary Adding binary to binary - EXERCISE =

Binary Adding binary to binary - EXERCISE = OVERFLOW!

Binary Tools to Help

Binary Units What is a bit? A bit can either be a 1 or 0

Binary Units What is a byte? A byte is 8 bits

Binary Units A nibble is 4 bits A nibble is half a byte What is a nibble? This is a mouse This This is a mouse This is a mouse

Binary Units A kilobyte is 1024 bytes What is a Kilobyte (KB)? x 1024 Why not 1000?

Binary Units What is a Megabyte (MB)? A megabyte is 1024 kilobytes

Binary Units What is a Gigabyte (GB)? A gigabyte is 1024 megabytes

Binary Units What is a Terabyte (TB)? A terabyte is 1024 gigabytes

Binary Units What is a Petabyte (PB)? A petabyte is 1024 terabytes

Binary Units - EXERCISE Arrange the following in size order: BIT BYTE NIBBLE KILOBYTE MEGABYTE GIGABYTE TERABYTE PETABYTE

Binary Aim: Explain binary and binary units Objective 1: Convert positive denary whole numbers (0-255) into 8-bit binary numbers and vice versa Objective 2: Add two 8-bit binary integers and explain overflow errors which may occur Objective 3: Define the terms bit, nibble, byte, kilobyte, megabyte, gigabyte, terabyte

Binary and Hexadecimal Web Resources LESSON FILES CISCO BINARY GAME BINARY UNITS ict.com/gcse_new/computer%20systems/storage_units/miniweb/index.htm

talk to the feet! Binary and Hexadecimal What is a hexadecimal number? Why Base 16?

Binary and Hexadecimal How are hexadecimal numbers used? MAC Address: B-6D-62 MAC Address (in binary):

Binary and Hexadecimal How are hexadecimal numbers used? WHITE #ffffffR255 G255 B BLACK #000000R000 G000 B

Binary and Hexadecimal Converting denary to hexadecimal 74 / 16 = 4 (4 x 16 = 64) = = A 4A

Binary and Hexadecimal Converting denary to hexadecimal 255 / 16 = 15 (15 x 16 = 240) = = F FF

Binary and Hexadecimal Converting denary to hexadecimal - EXERCISE Convert the following to hexadecimal: F FF B 7F