1. GCSE COMPUTER SCIENCE
Topic 3 - Data
3.4 Hexadecimal Conversion

2. There are 16 different values available in hex:
Hexadecimal
Programmers use hexadecimal numbers as shorthand for binary to save time.
There are 16 different values available in hex: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 1 2 3 4 5 6 7 8 9 A B C D E F
Letters are used for the values to ensure that only single digits are used.

3. Activity Explain why hexadecimal notation is used.
Question
Answer
Explain why hexadecimal notation is used.
It is quicker to use for programmers as there are less characters.
Which characters are used to represent numbers in hexadecimal?
Numbers 0-9 are represented by numbers.
The letters A-F are used to represent the numbers

4. In this example we will convert DB to binary
Hexadecimal to Binary
Converting between hexadecimal and binary is simple. Take each character and convert it into the equivalent 4-bit binary number
In this example we will convert DB to binary
Hex D B
Denary 13 11
Binary 1

5. Convert these hexadecimal number to binary.
Activity
Convert these hexadecimal number to binary. 4 B 3 7 E 11 14
0100
1011
0011
0111
1110 1 2 A D 10 13
0001
0010
1010
1101 1 2 3 4 5 6 7 8 9 A B C D E F

6. In this example we will convert 11110011 into hexadecimal.
Binary to Hexadecimal
You convert between binary and hexadecimal by doing the reverse. You just take each group of four binary digits, starting from the right and convert it into the equivalent hexadecimal number.
In this example we will convert into hexadecimal.
Binary 1
Denary 15 3
Hex F

7. Convert these numbers to hexadecimal
Activity
Convert these numbers to hexadecimal
1101
1111
1001
0001
0011
1010 13 15 9 1 3 10 D F A
1110
1100
1011
0101
0111 14 12 11 5 7 E C B 1 2 3 4 5 6 7 8 9 A B C D E F