1. STARTER – CRACK THE CODE 152120315135 9 3114 315142251820 21199147 29 11825

2. STARTER – CRACK THE CODE 152120315135 OUTCOME 9 I 3114 CAN 315142251820 CONVERT 21199147 USING 29 11825 BINARY

4. OUTCOMES All students will be able to convert using 8 bit numbers Most students will be able to convert between binary, denary and binary to hexadecimal. Some students will be able to convert confidently between binary, denary and hexadecimal Objective: I can convert using binary, denary and hexadecimal numbers

5. HOW DO COMPUTERS TALK? Objective: I can convert using binary, denary and hexadecimal numbers

6. EXAMPLE 1286432168421 00001001 1 = On 0 = Off Take the “On” numbers and add them together 8+1 = 9 So; 1001 in Binary is equal to the denary (integer) 9 Objective: I can convert using binary, denary and hexadecimal numbers

7. TASK ONE - A BinaryDenary 11100101 01011010 10110101 01000101 11011111 11110000 10000000 11111111 2) So how ….. can I represent the number 256 in binary? 1 1286432168421 Objective: I can convert using binary, denary and hexadecimal numbers

8. TASK ONE - A BinaryDenary 11100101229 0101101090 10110101181 0100010169 11011111223 11110000240 10000000128 11111111255 2) So how ….. can I represent the number 16 in binary? 1 1286432168421 Objective: I can convert using binary, denary and hexadecimal numbers

9. CAN WE MAKE NUMBERS INTO BINARY? So we know that 00000110 is equal to 5 but how to we make numbers into binary code. Simple! Objective: I can convert using binary, denary and hexadecimal numbers

11. DENARY TO BINARY 99 = Why? 64+31+2+1 = 99 1286432168421 01100011 Objective: I can convert using binary, denary and hexadecimal numbers

12. TASK ONE – B – CONVERT THE DENARY BinaryDecimal 8 12 56 93 121 187 209 254 2) So what is 110110100 in denary form? 1 1286432168421 Objective: I can convert using binary, denary and hexadecimal numbers

13. TASK ONE – B – CONVERT THE DENARY BinaryDecimal 000010008 0000110012 0011100056 0101110193 01111001121 10111011187 11010001209 11111110254 2) So what is 110110100 in denary form? 1 1286432168421 Objective: I can convert using binary, denary and hexadecimal numbers

14. PROGRESS CHECK Can we all confidently convert using 8 bit binary numbers? Objective: I can convert using binary, denary and hexadecimal numbers

15. THE SOLUTION TO BIGGER NUMBERS …. Sometimes binary numbers get really long – so we use Hexadecimal to shorten them – making them easier to store and remember. In this example, the relatively small number of 42,780 in binary is 1010011100011100 Objective: I can convert using binary, denary and hexadecimal numbers

16. CONVERSION TO HEXADECIMAL 1010 0111 0001 1100 10 7 1 12 A 7 1 C 1)Split the binary into groups of 4 2)Using the table system convert to denary numbers 3)Use the Hex table to convert 8421 1010 8241 0111 8421 0001 8421 1100 0123456789101112131415 0123456789ABCDEF

17. TASK TWO A – BINARY TO HEX BinaryHex 00 11 22 33 44 55 66 77 88 99 10A 11B 12C 13D 14E 15F Convert the following from Binary to Hexadecimal: 1.1001 1111 1010 1110 1110 2.1110 0010 1110 0010 1101 3.1101 0010 0100 0000 1110 4.0101 0100 1001 0100 0100 5.0001 0001 1110 1110 1110 Convert: 8F to Decimal 6F8AB to Binary

18. TASK TWO A – BINARY TO HEX BinaryHex 00 11 22 33 44 55 66 77 88 99 10A 11B 12C 13D 14E 15F Convert the following from Binary to Hexadecimal: 1.1001 1111 1010 1110 1110 9FAEE 2.1110 0010 1110 0010 1101 E2E2D 3.1101 0010 0100 0000 1110 D240E 4.0101 0100 1001 0100 0100 54944 5.0001 0001 1110 1110 1110 11EEE Convert: 8F to Decimal 143 6F8AB to Binary 1101111100010101011

19. PLENARY Using what you have learnt this lesson answer the following questions; 1.Convert the denary number 110 to binary. 2.Convert the binary for 110 to Hexadecimal. 3.Convert the Hexadecimal E2 to binary 4.Convert the binary for E2 to denary Objective: I can convert using binary, denary and hexadecimal numbers

20. Objective: I can convert using binary, denary and hexadecimal numbers