Binary Numbers

Data Representation - Year 7

1 What are Binary Numbers?

Watch this short video (5 minutes). It will explain what binary numbers are.

Quick recap

  • Computers only understand two values: 0 and 1.
  • Each 0 or 1 is called a bit.
  • 8 bits together are called a byte.
  • Each position has a value: 1, 2, 4, 8, 16, 32, 64, 128.

Try it yourself - Click the bits!

Click each square to switch it between 0 and 1. Watch the number change!

128
0
64
0
32
0
16
0
8
0
4
0
2
0
1
0
Binary: 00000000
Denary: 0

🎯 10 Quick Challenges - Make the Number!

Click the bits to make the target number. The box turns green when you get it right!

Challenge 1 of 10
Score: 0

Make the number 3

128
0
64
0
32
0
16
0
8
0
4
0
2
0
1
0
Your binary: 00000000 Denary: 0

2 Game Time: Binary Bonanza

Time to play! Binary Bonanza will help you convert denary into binary.

How to play

  1. Watch the teacher's demo first.
  2. The game has 10 levels - try to reach the highest level you can!
  3. You will see a denary (normal) number. Click the bits to make the matching binary number.
🏆

Reward! The first 5 students to reach the highest level will get a "4" Achievement Point!

Play Binary Bonanza ▶

3 Binary to Denary

Now we go the other way: from binary to a normal (denary) number.

The trick

Whenever you see a 1, add the place value above it. Ignore the 0s.

Example: 0 0 0 0 1 0 1 1 → 8 + 2 + 1 = 11

Try it - Set a binary number and see the denary value

Click each bit to switch between 0 and 1. The denary number is calculated for you.

128
0
64
0
32
0
16
0
8
0
4
0
2
0
1
0
Click bits to add up the values
Binary: 00000000
Denary: 0

🎯 10 Quick Challenges - What's the Denary?

Read the binary number and type the matching denary number. Press Check or hit Enter.

Challenge 1 of 10
Score: 0

What is 00000010 in denary?

4 Game Time: Cisco Binary Game

Practise converting both ways with the famous Cisco Binary Game!

How to play

  1. Numbers fall down the screen.
  2. If a binary number falls, type the matching denary number.
  3. If a denary number falls, click the bits to make the binary.
  4. Don't let too many fall off the bottom!
Play Cisco Binary Game ▶

5 Your Turn - Mini Test

Type your answer in each box. Green = correct, Red = try again.

Part A - Binary to Denary

Part B - Denary to Binary

Use 8 bits. Example: 5 = 00000101

Part C - Multiple Choice

9) How many values can a single bit hold?

10) Which one is the largest number?