1. Working with 8-bit bytes and hexadecimal
Lesson Objective: Understand 8-bit bytes and Hexadecimal
Lesson Outcome: Convert between 8 bit binary and decimal numbers, convert to/from hexadecimal.
Key words: 8 bit byte, decimal, hexadecimal

2. First ... A summary of last lesson

3. 1010 What is this in denary?
What is 9 in binary?
What is the time on this digital clock?

4. A = 01000001 How is data stored? Book Vs Computer
A book stores data with ink and paper
A computer stores data as electronic 0’s and 1’s A =

5. Each place is called a BIT (Binary digIT)
Bits and Bytes
128 64 32 16 8 4 2 1
8 Bits make one BYTE
Each place is called a BIT (Binary digIT)

6. Rounded off numbers in binary
Examples of ‘rounded off’ numbers in decimal: 10
100
1000
Rounded off numbers in Binary: 2 4 8 16 32 64
128
256
512
1024

7. Kilobyte, Megabytes, Gigabytes
8 bits = 1 byte
1024 Bytes in a Kilobyte
1024 Kilobytes in a Megabyte
1024 Megabytes in a Gigabyte

8. Question
What is a BIT?

9. Question
How many bits are there in this byte?
Answer = 4

10. Question
How many bytes are there in a kilobyte?
Answer = 1024

11. Converting between denary and binary
10000s
1000s
100s
10s 1s
05565
128 64 32 16 8 4 2 1
= = 65

12. Converting from binary to denary8 4 2 1 =1 =9
=10 =3 =5 =7

13. Converting between denary and binary
128 64 32 16 8 4 2 1
= = 69
128 64 32 16 8 4 2 1
= = 18

14. Converting between denary and binary
128 64 32 16 8 4 2 1
= = 69
= = 18
= = 35

15. From Denary to Binary
128 64 32 16 8 4 2 1
18 =
21 =
71 =

16. Complete the worksheets
Eight-bit bytes and decimal

17. Binary and Hex digits ...
= 0
= 8
= 1
= 9
= A
= 2
= 3
= B
= 4
= C
= 5
= D
= 6
= E
= F
= 7

18. Another binary to hex conversion
= 51 3 3
Assign a number to each of the nibbles ...

19. What are the following binary numbers in denary?
What are the following binary numbers in Hexadecimal?
10 = A
11 = B
12 = C
13 = D
14 = E
15 = F 8
128 4 64 2 32 1 16 8 8 4 4 2 2 1 1
= 67
= 43
= 77
= 4D

20. What are the following binary numbers in Hexadecimal?8 4 2 1 8 4 2 1
= EB
= 5A

21. Using hexadecimal digits

22. Making graphics with Hex
11 = B
12 = C
13 = D
14 = E
15 = F 10 38 7C FE 7C 38 10 00