1. Lesson 3: Denary to Binary Conversion.
DATA REPRESENTATION
Lesson 3: Denary to Binary Conversion.
YEAR MIDHURST ROTHER COLLEGE

2. BRAIN WARMING 8 4 2 1
Only using the above numbers once, can you add them up to make the following numbers? 5 7 11 14
EXTENSION:
Is there more than one way? What is the highest number you can make?

3. DATA REPRESENTATION In this lesson you will...
LEARN how to convert numbers into binary.
So that you can…
WRITE numbers in 4-bit or 8-bit binary.

4. DISCUSS: BINARY
Can you think of an easy system to follow in order to convert denary numbers into binary?
How would you write 9 in binary?

5. DOES IT FIT?
The simplest way to convert from denary to binary, is to ask yourself does it fit? And if so, what is left over?
DENARY 8 4 2 1 13 5 6

6. CONVERT DENARY TO BINARY
In your OneNote, convert these numbers into 8-bit binary numbers.
7 6) 99
15 7) 121
23 8) 175
41 9) 231
) 252
128 64 32 16 8 4 2 1
NEED HELP?
Ask the teacher or partner for further assistance. You can use a calculator.
EXTENSION:
Double check your binary answers by converting them back to denary.

7. BINARY PROFILE
In your OneNote, draw a picture of yourself and add the following data about yourself in binary:
Age
Favourite Number
How many siblings you have
Month of Birth
Day of Birth
NEED HELP?
Ask the teacher or partner for further assistance. You can use a calculator.
EXTENSION:
What else about you could you represent in binary?

8. PLENARY: CLASS DISCUSS
Make sure you have completed both tasks in your OneNote.
Hands up if you can give examples of numbers (data) that would need to be converted into binary.