1. Denary to Binary Numbers & Binary to Denary
Chapter 3 Data Representation

2. Countdown numbers game
Your numbers are:
And your target is: 10
How many different ways of getting this target can you find?

3. Countdown numbers game
Your numbers are:
And your target is: 13
How many different ways of getting this target can you find?

4. What is a denary number?
These numbers we use in our everyday lives are called ‘denary’ numbers, it is also referred to as “Base-10”, which uses the power of 10: 1000, 100, 10, 1.

5. Binary
128 64 32 16 8 4 2 1
When given a number to convert to binary you need a sequence of 0’s and 1’s.
To be able to convert deniary numbers to binary you have to firstly pick the first lowest number under the decimal number given.
Then how many digits backwards are you going to use to add together to make the number.
e.g. 42
First lowest number under this from the table above is 32 so this is where I will start:
= this will get 42
1x32 =32
0x16=0
1x8=8
0x4=0
1x2=2
0x1=0
Add all these together will get 42.

6. Binary Another example 228 128 64 32 16 8 4 2 1
What combinations of the numbers before will make 228?
128 64 32 16 8 4 2 1
Answer: Binary =228 (denary)

7. 4-bit binary numbers 13 = 9 = 14 = 11 = 7 = 5 = 8 = 8 4 2 1
Convert the following denary numbers into 4-bit binary, also referred to as Base-2.
13 =
9 =
14 =
11 =
7 =
5 =
8 =
G:\ICT\Miss Elliott\Year \Chapter 3 - Data Representation\worksheet6 – Denary to Binary

8. Binary to denary numbers
Now convert back from binary to denary
1100
0011 8 4 2 1 x X
8 +
4 +
0 +
0 =16 8 4 2 1 x X
0 +
2 +
1 =3
What would happen if the denary number was 23?
Can you write this as 4-bit binary?

9. Binary to denary numbers
Convert the following 4-bit binary numbers into whole denary numbers:
0001 =
0 =
1111 =
1100 =
0011 =
G:\ICT\Miss Elliott\Year \Chapter 3 - Data Representation\worksheet6 – Denary to Binary

10. 8-bit binary numbers =byte
128 64 32 16 8 4 2 1
Convert the following denary numbers into 8-bit binary, also referred to as Base-2.
220 =
300 =
132 =
144 =
G:\ICT\Miss Elliott\Year \Chapter 3 - Data Representation\worksheet6 – Denary to Binary

11. GCSE Computer Science Workbook
Complete page 77 and 78.

12. Starter - Countdown numbers game
Your numbers are:
New rule still applies…
Try to find:
The highest possible number
The lowest possible number
A number that can be obtained in more than one way
Highest is 15
Lowest is 0 (choose not to add anything)
You can also get all numbers between 0-15 – there is only ONE way to get any of these numbers, this is important in binary.

13. TASK1– Worksheet 7
G:\ICT\Miss Elliott\Year \Chapter 3 - Data Representation
Extension:
What is binary overflow?
What happens?

14. TASK2– Worksheet 7 (2) Larger numbers in binary
G:\ICT\Miss Elliott\Year \Chapter 3 - Data Representation
Extension: What are the conversions:
8 bits = 1 Byte
1 kilobyte (KB) = ?bytes
1 megabyte (MB) = ? Kb
1 gigabyte (GB) = ? MB
1 terabyte (TB) = ? GB)

15. TASK3– Worksheet 8 HEX
G:\ICT\Miss Elliott\Year \Chapter 3 - Data Representation
Extension:
Workbook page: 79-80

16. GCSE Computer Science Workbook
Complete page 79 and 80.

17. Binary to Hex

18. STARTER What is binary overflow?
Watch the video and write a summary in word of what it is.

19. HEX to Denary Denary 5 0 Binary 0011 0010 Hex 3 2
For HEX to be worked out remember:
3 2
X x
16 1
= 50

20. TASK– Worksheet 8 HEX
G:\ICT\Miss Elliott\Year \Chapter 3 - Data Representation
Extension:

21. What is the Hex ladder?

22. 0,1,2,3,4,5,6,7,8,9,A,B,C,D,E,F

23. TASK: worksheet 9 – Binary to Hex
Studentshare\ICT\Miss Elliott\Yr 10\Theory2\Chapter 3 Data representation\ Worksheet 9 EXTENSION 1 on the sheet EXTENSION 2 worksheet 10

24. TASK
Workbook page: 79-80

25. Starter

27. TASK: worksheet 9 – Binary to Hex
Studentshare\ICT\Miss Elliott\Yr 10\Theory2\Chapter 3 Data representation\ Worksheet 9 EXTENSION 1 on the sheet EXTENSION 2 worksheet 10

28. Hex to Denary to Binary 7A FE 9F 2B
EXTENSION: 8C 3D EF A9 F1 A0

29. Bits and Bytes
G:\ICT\Miss Elliott\Year \Chapter 3 - Data Representation\worksheet 11
EXTENSION

30. Binary Addition
0 + 0 = =1 0+1=1 1+1=10

31. Starter

32. Binary Addition – worksheet 12
G:\ICT\Miss Elliott\Year \Chapter 3 - Data Representation\worksheet 12 Extension: Convert additions to denary

33. Binary Addition
EXTENSION: Can you convert the following Denary values to Hex?

34. Starter
overflow + + + + + +

35. TASK - extension
TASK - extension
Workbook page: 79-80

36. Recap
What is binary?
What is HEX?
What is denary?
What is over flow?

37. Revision
Binary - 22
HEX – 2A
Denary - 15

38. Recap Q’s – worksheet 14 - REVISION G:\ICT\Miss Elliott\Year \Chapter 3 - Data Representation
What would the denary number 199 be in binary?
What would the denary number 55 be in binary?
What would the denary number 222 be in binary?
What would be as a denary number?
What would be as a denary number?
What would be as a binary number?
What is an overflow error?

39. ASCII – American Standard Code for Information Interchange

40. Activity – Worksheet 13 – ASCII Table
G:\ICT\Miss Elliott\Year \Chapter 3 - Data Representation
EXTENSION: Create your own ASCII message

41. TASK - extension
TASK - extension
Workbook page: 81