1. Data
Binary Conversion

2. Denary
The denary number system (also known as decimal) uses 10 symbols (0-9) to represent numbers. It is a base-10 number system.
Humans use it because we have 10 fingers.
Complete task 1.

3. Binary
Computers don’t have fingers, they have circuits. These circuits can be in one of two states, on or off. So they use a base-2 number system.
On = 1
Off = 0
Complete task 2.1.

4. Transistors
Transistors are switches that are used in digital circuits, in their off state they represent a 0 and in their on state they represent a 1. Computers use combinations of millions or even billions of transistors to carry out instructions.
Complete task 2.2.

5. Binary Each digit in binary is called a bit.
Most computers store bits of data in memory in groups of eight. Eight bits stored at one location is called a byte. Sometimes it is useful to work on just half a byte. Half a byte is called a nibble. 1
bit
nibble
byte

6. Counting in Binary Sitting = 0 Standing = 1
We need 8 volunteers to sit at the front in row facing the class.
Each place in a binary number has a value. These go up in multiples of 2.
128 64 32 16 8 4 2 1
Sitting = 0
Standing = 1

7. Counting in Binary
This is how we represent the number 1 in binary.
Who needs to stand up?
128 64 32 16 8 4 2 1

8. Counting in Binary
This is how we represent the number 2 in binary.
Who needs to sit down?
Who needs to stand up?
128 64 32 16 8 4 2 1

9. Counting in Binary How do we represent these numbers in binary: 65 9221
129
254
255 58 5 17 72 63 7
167
150
256
128 64 32 16 8 4 2 1
For the last one you will need an extra student to stand at the 256 position, making a 9 bit number.

10. Denary to Binary 65
Start by writing out the place values. 1 2 4 8 16 32 64
128
Then write 1s underneath the place values that add up to the denary number.
As a class convert these numbers from denary to binary:
a b c. 76
Complete task 3.1.

11. Binary to Denary
Start by writing the place values above each bit. 1 2 4 8 16 32 64
128
Then write out the place values of the 1s.
= 81
Finally add the numbers together.
As a class convert these numbers from binary to denary:
a b c
Complete tasks 3.2 to 3.6.

12. Binary Tetris