Binary Revision

Data representation

Date: Monday 22nd May 2023

Title: Binary Revision

1. Respect

2. Participate

3. Focus and Attention

Classroom expectations

Objectives

• Recap the binary system

• Recap binary addition

​Literacy – Key Words

Binary - Base 2 number system

Denary - Base 10 number system

Multiple Choice

Computers use binary because they are made up of tiny electronic switches that can be either on or off, representing 0 or 1. By using binary, computers can store and process information using these switches.

• True

• False

Denary to Binary

Converting from Denary to Binary

Converting from denary to binary is also quite straight forward.

If we wanted to convert 202 into binary we would do the following:

128

64

32

16

8

4

2

1

Does 128 fit into 202?

YES! So we add a 1 into the column and subtract
128 from 202 (leaving 74)

1

Converting from Denary to Binary

Converting from denary to binary is also quite straight forward.

If we wanted to convert 202 into binary we would do the following:

128

64

32

16

8

4

2

1

Does 64 fit into 74?

YES! So we add a 1 into the column and subtract
64 from 74 (leaving 10)

1

1

Denary to Binary

Converting from Denary to Binary

Converting from denary to binary is also quite straight forward.

If we wanted to convert 202 into binary we would do the following:

128

64

32

16

8

4

2

1

Does 32 fit into 10?

NO! So we add a 0 into the column and
move on…

1

1

0

Denary to Binary

Converting from Denary to Binary

Converting from denary to binary is also quite straight forward.

If we wanted to convert 202 into binary we would do the following:

128

64

32

16

8

4

2

1

Does 16 fit into 10?

NO! So we add a 0 into the column and
move on…

1

1

0

0

Denary to Binary

Converting from Denary to Binary

Converting from denary to binary is also quite straight forward.

If we wanted to convert 202 into binary we would do the following:

128

64

32

16

8

4

2

1

Does 8 fit into 10?

YES! So we add a 1 into the column and subtract 8
from 10 (leaving 2)

1

1

0

0

1

Denary to Binary

Converting from Denary to Binary

Converting from denary to binary is also quite straight forward.

If we wanted to convert 202 into binary we would do the following:

128

64

32

16

8

4

2

1

Does 4 fit into 2?

NO! So we add a 0 into the column and move
on…

1

1

0

0

1

0

Denary to Binary

Converting from Denary to Binary

Converting from denary to binary is also quite straight forward.

If we wanted to convert 202 into binary we would do the following:

128

64

32

16

8

4

2

1

Does 2 fit into 2?

YES! So we add a 1 into the column and subtract 2
from 2 (leaving 0)

1

1

0

0

1

0

1

Denary to Binary

Converting from Denary to Binary

Converting from denary to binary is also quite straight forward.

If we wanted to convert 202 into binary we would do the following:

128

64

32

16

8

4

2

1

Does 1 fit into 0?

NO! So we add a 0 into the column and that is it!

1

1

0

0

1

0

1

0

Denary to Binary

Converting from Denary to Binary

So 202 in binary is:

128

64

32

16

8

4

2

1

1

1

0

0

1

0

1

0

1

2

8

6

4

8

2

2

0

2

2

1

Check that it works:

Denary to Binary

Practice

• Convert 8 into binary:

128

64 32

16

8

4

2

1

Practice

• Convert 18 into binary:

128

64 32

16

8

4

2

1

Practice

• Convert 55 into binary:

128

64 32

16

8

4

2

1

Practice

• Convert 200 into binary:

128

64 32

16

8

4

2

1

Multiple Choice

What kind of 'base' system is binary known as?

• Base 16

• Base 2

• Base 10

• Base 32

Multiple Choice

What kind of number system is used in everyday life?

• A simple one

• Hexadecimal

• Binary

• Denary

Multiple Choice

What kind of 'base' system is denary known as?

• 2

• 12

• 10

• 1

Multiple Choice

How do binary values change with each additional number?

• They don't

• They double

• They go up in 10s

• They go up in 100s