Binary

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

2. 234 Binary Why Base 10? What is a denary number? talk to the hands!

3. Binary 128 64 32 16 8 4 2 1s Why Base 2? 1100110100101010111101010100101110 What is a binary number? Binary is the universal language of computers 1010111101010101010100101100010100010001111100011010001000101001011101

4. Binary 128 64 32 16 8 4 2 1s 1 1 1 0 1 0 1 0 234 Converting denary to binary 234-128=106 106-64=42 42-32=10 10-8=2

5. Convert the following to 8 bit binary: Binary 16 47 00010000 00101111 34 255 00100010 11111111 Converting denary to binary - EXERCISE 128 11 10000000 00001011 132 127 10000100 01111111

6. Binary Converting denary to binary – Online Game http://forums.cisco.com/CertCom/game/binary_game_page.htm

7. THREE RULES! 0 + 0 = 0 0 + 1 = 1 1 + 1 = 0 (carry 1) Adding 8 bit binary numbers Binary 00101010 + 01101101 DEC Adding binary to binary 0 0 1 0 1 0 1 0 42 109 0 1 1 0 1 1 0 1 1 0 0 1 0 1 1 1 151 1 1 1

8. OVERFLOW! ERROR OVERFLOW! ERROR Adding 8 bit binary numbers Binary 10010110 + 10011011 DEC Adding binary to binary 1 0 0 1 0 1 1 0 150 155 1 0 0 1 1 0 1 1 1 0 0 1 1 0 0 0 1 305 1 1 1 1

9. Binary 00010010 + 01000011 = 10000101 + 00111110 = Adding binary to binary - EXERCISE 00101010 + 01101101 = 10010110 + 10001101 =

10. Binary 00010010 + 01000011 = 0 0 0 1 0 0 1 0 0 1 0 0 0 0 1 1 0 1 Adding binary to binary - EXERCISE 0 1 0 1 0 1 1

11. Binary 1000010 + 00111110 = 1 0 0 0 0 0 1 0 0 0 1 1 1 1 1 0 0 1 Adding binary to binary - EXERCISE 1 1 0 0 0 0 0 1 1 1 1

12. Binary 00101010+ 01101101 = 0 0 1 0 1 0 1 0 0 1 1 0 1 1 0 1 Adding binary to binary - EXERCISE 1 0 0 1 0 1 1 1 1 1 1

13. Binary 10010110+ 10001101 = 1 0 0 1 0 1 1 0 1 0 0 0 1 1 0 1 OVERFLOW! Adding binary to binary - EXERCISE 0 0 1 0 0 0 1 1 1 1 1 1

14. Binary Tools to Help

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

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

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

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

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

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

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

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

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

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

25. Binary and Hexadecimal LESSON FILES http://edmundo.ecis.org/downloads/ CISCO BINARY GAME http://forums.cisco.com/CertCom/game/binary_game_page.htm BINARY UNITS http://www.teach-ict.com/gcse_new/computer%20systems/storage_units/miniweb/index.htm Web Resources