Units

Open Ended

What is a digit? (3 minutes)

​Digits describe different values depending on the position they hold in a number.

Multiple Choice

How many different digits are there?

• 20

• 2

• 10

• infinite

Multiple Choice

How many different numbers can you make with these digits?

• 1000

• 100

• Infinite

• 10

Data Representation

Data Units

Lesson Objectives

• Why computers use binary

• How to count in binary

• What the names of binary units are

By Mr. Dwedari

Why Binary?

• Computers are made up of switches. They are either on (1) or off (0).

• Computers therefore cannot physically represent any more than 2 digits (0 and 1)- like we can’t represent more than 10 values on our hands!

• So any type of data that the computer deals with HAS to be converted into a binary number for the computer to process it.

Multiple Choice

Binary is a number system of 2 digits (1 and 0) used by computers to represent different types of data.

• False

• True

Multiple Choice

How many digits can computers represent?

• infinite

• 9

• 10

• 16

• 2

Multiple Choice

What digits can computers represent?

• infinite

• 0

  1

  2

  .

  .

  .

  99

• 0

  1

  2

  3

  4

  .

  .

  9

• 0

  1

Computers use switches powered by electricity. They count using binary number system 0 / 1(base 2)

​Binary

Humans have 10 fingers. We count using denary number system 0-9 (base 10)

​Denary

Humans Vs Computers

​Eights	​Fours	​Twos	​Ones
​	​	​	​

Thousands​	​Hundreds	​Tens	​Ones
​	​	​	​

We count 0, then 1… Then we record we have gotten to 2 by placing a 1 in the 2s column and going back to 0 in the ones. When we get to 2 sets of 2s, we make a record of it by placing a 1 in the 4s column…and so on!

We count to 9…Then we record we have gotten to 10 by placing a 1 in the 10s column and going back to 0 in the ones.

When we get to 100, we make a record of it by placing a 1 in the 100s column…and so on!

Denary Vs Binary

​Eights	​Fours	​Twos	​Ones
​	​	​	​

Thousands​	​Hundreds	​Tens	​Ones
​	​	​	​

Open Ended

Use the layout of the table in the picture to help you to type in the first 8 numbers in Binary, starting from 0.

First 8 Binary Numbers

​Eights	​Fours	​Twos	Ones
​0	​0	​0	​0
​0	​0	​0	​1
​0	​0	​1	​0
​0	​0	​1	​1
​0	​1	​0	​0
​0	​1	​1	​1
​1	​0	​0	​0
​1	​0	​0	​1

Binary Units

Some text here about the topic of discussion

In the binary system:

• we have special names that we give binary numbers of different length.

• The basic unit is 0 or 1

By Mr. Dwedari

​ This is a binary digit….also known as a bit

A bit, can store one of 2 numbers (0 or 1)

Multiple Choice

How many numbers can a bit store?

• 4

• none

• 2

• 8

​Nibble

​A group of 4 bits is known as a…

A nibble can store one of 16 numbers

​ 8	​ 4	​ 2	​ 1
​ 1	​ 1	​ 0	​ 1

Byte

​A group of 8 bits is known as a…

A Byte can store one of 256 numbers

​128	64	​​ 32	​ 16	​ 8	​ 4	​ 2	​ 1
0	0	1	​ 1	​ 0	​ 1	1	0

Just like the traditional number system, binary also uses the word kilo to represent 1000 (e.g. kilogram = 1000grams)

1 kilobyte (KB) = 1000 bytes

​Unit	​Symbol	bits / Bytes	​
​bit	​b	​1 Binary digit	​
Byte	​B	​8 bits	​2 Nibbles
​Kilobyte	​KB	1000 bytes	1000 x 8 = 8000 bits
​Megabyte	​MB	​​1000 KB	1MB=1000000 Byte
​Gigabyte	​GB	​1000 MB	​1GB= 1000000 Kilobyte
​Terabyte	​TB	​1000 GB	​1TB = 1000000 Gigabyte

Binary Units

Multiple Choice

How many Bits is one Nibble?

• 4

• 2

• 8

• 16

Multiple Choice

How many Bits is one Byte?

• 4

• 2

• 8

• 16

Multiple Choice

How many Nibbles in one Byte?

• 4

• 2

• 8

• 16

Multiple Choice

How many Bytes is one Kilobyte?

• 4

• 8

• 1000000

• 1000

Multiple Choice

How many Megabytes is one Gigabyte?

• 4

• 8

• 1000000

• 1000

Multiple Choice

How many Gigabyte is one Terabyte ?

• 10000

• 16

• 1000

• 1000000

Multiple Choice

How many Bytes is one Gigabyte ?

• 1000,000,000

• 100

• 1000

• 1000000

Multiple Choice

Which symbol represents a Bit?

• B

• b

• GB

• KB

Multiple Choice

Which symbol represents a Byte?

• B

• b

• GB

• KB

Multiple Choice

Which symbol represents a Kilobyte?

• B

• b

• GB

• KB

Multiple Choice

convert 10MB to Bits?

• 100 x 100 x 10 x 8 = 8,00,000

• 1000 x 1000 x 8 =8000,000

• 10 x 1000 x 1000 x 8 =80,000,000

• 10 x 1000 x 4 = 40,000

• 10 x 1000 x 8 = 80,000