1. Binary & Hexidecimal Numbers
Highcliffe School ICT Department

2. What is binary system
Storage on a computer = built with electrical circuits
Circuits can be in 2 states - 2 symbols represent this:
Low voltage - 0
High voltage - 1

3. Storage Binary used to store data of all types numbers characters
sound
pictures

4. BITS, BYTES & WORDS BIT = a single 0 or 1 (binary digit)
BYTE = group of 8 BITS
WORD = group of bytes
Size depends on type of PC eg: 64 bit PC

5. DENARY NUMBER SYSTEM What we use everyday 10 digits - 0-9 Example 1004 6

6. Example Moving RIGHT to LEFT = each digit is worth 10x more
100 10 1 1 4 6
Moving RIGHT to LEFT = each digit is worth 10x more
Called base 10 number system

7. Binary 128 64 32 16 8 4 2 1 Uses BASE 2 Number System
Moving RIGHT to LEFT = each digit = 2x previous
128 64 32 16 8 4 2 1

8. Example
128 64 32 16 8 4 2 1 1 1 1

9. Example
128 16 2 1 1 1

10. Example
128 16 2 + + 1 1 1

11. Example
146

12. Example
128 64 32 16 8 4 2 1 1 1 1 1 1 1 1 1 1 1 1

13. Largest 8 BIT BINARY?
128 64 32 16 8 4 2 1 1 1 1 1 1 1 1 1 ?

14. Convert denary to binary
128 64 32 16 8 4 2 1 48
132 18 93
240

15. Binary addition Set of rules: 0 + 0 = 0 0 + 1 = 1 1 + 0= 1
1 + 1 = 0 - carry 1 to next significant digit

16. Binary addition 1 1 1 + 1 1 = ? ? ? ? ? ? ? ?

17. Binary subtraction Set of rules: 0 - 0 = 0
0 - 1 = 1 (and borrow from the next significant bit)
1 - 0= 1
1 -1 = 0

18. Binary subtraction 1 1 1 - 1 1 = ? ? ? ? ? ? ? ? 1 1

19. Binary subtraction 1 1 1 - 1 1 = 1 1 ? ? ? ? ? ? ? ?

20. Binary subtraction 1 1 1 1 - 1 1 1 = ? ? ? ? ? ? ? ? 1 1 1 1

21. Binary subtraction 1 1 1 1 - 1 1 1 = 1 1 1 1 ? ? ? ? ? ? ? ?