Data representation number
- 1. STARTER – CRACK THE CODE 15 21 20 3 15 13 5 9 3 1 14 3 15 14 22 5 18 20 21 19 9 14 7 2 9 14 1 18 25
- 2. STARTER – CRACK THE CODE 15 21 20 3 15 13 5 O U T C O M E 9 I 3 1 14 C A N 3 15 14 22 5 18 20 C O N V E R T 21 19 9 14 7 U S I N G 2 9 14 1 18 25 B I N A R Y
- 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 128 64 32 16 8 4 2 1 0 0 0 0 1 0 0 1 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 Binary Denary 11100101 01011010 10110101 01000101 11011111 11110000 10000000 11111111 2) So how ….. can I represent the number 256 in binary? 1 128 64 32 16 8 4 2 1 Objective: I can convert using binary, denary and hexadecimal numbers
- 8. TASK ONE - A Binary Denary 11100101 229 01011010 90 10110101 181 01000101 69 11011111 223 11110000 240 10000000 128 11111111 255 2) So how ….. can I represent the number 16 in binary? 1 128 64 32 16 8 4 2 1 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 = 99 128 64 32 16 8 4 2 1 0 1 1 0 0 0 1 1 Objective: I can convert using binary, denary and hexadecimal numbers
- 12. TASK ONE – B – CONVERT THE DENARY Binary Decimal 8 12 56 93 121 187 209 254 2) So what is 110110100 in denary form? 1 128 64 32 16 8 4 2 1 Objective: I can convert using binary, denary and hexadecimal numbers
- 13. TASK ONE – B – CONVERT THE DENARY Binary Decimal 00001000 8 00001100 12 00111000 56 01011101 93 01111001 121 10111011 187 11010001 209 11111110 254 2) So what is 110110100 in denary form? 1 128 64 32 16 8 4 2 1 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 8 4 2 1 1 0 1 0 8 2 4 1 0 1 1 1 8 4 2 1 0 0 0 1 8 4 2 1 1 1 0 0 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 0 1 2 3 4 5 6 7 8 9 A B C D E F
- 17. TASK TWO A – BINARY TO HEX Binar y Hex 0 0 1 1 2 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10 A 11 B 12 C 13 D 14 E 15 F 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 Binar y Hex 0 0 1 1 2 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10 A 11 B 12 C 13 D 14 E 15 F 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