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Welcome Year 6 It’s a shame we cannot meet you to go through this lesson with you but we have to stay safe! Read through the presentation and have a go at the worksheets if you can. Do not worry if its too hard we will teach you how in Year 7! Your IT and Computing Teachers are: Mrs Wentworth Mr Warhurst Buxton Community School

Welcome Year 6 · 10 1010 11 1011 12 1100 Remember Denary is our number system base 10 because we have 10 fingers ... b) c) 66 37 129. Binary addition Adding two 8 bit binary numbers

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Page 1: Welcome Year 6 · 10 1010 11 1011 12 1100 Remember Denary is our number system base 10 because we have 10 fingers ... b) c) 66 37 129. Binary addition Adding two 8 bit binary numbers

Welcome Year 6

It’s a shame we cannot meet you to go through this lesson with you but we have to stay safe!

Read through the presentation and have a go at the worksheets if you can. Do not worry if its

too hard we will teach you how in Year 7!

Your IT and Computing Teachers are:

Mrs WentworthMr Warhurst

Buxton Community School

Page 2: Welcome Year 6 · 10 1010 11 1011 12 1100 Remember Denary is our number system base 10 because we have 10 fingers ... b) c) 66 37 129. Binary addition Adding two 8 bit binary numbers

Objectives

Be able to recognise binary code

Be able to convert denary numbers into binary numbers

Be able to add two 8 bit binary numbers

Page 3: Welcome Year 6 · 10 1010 11 1011 12 1100 Remember Denary is our number system base 10 because we have 10 fingers ... b) c) 66 37 129. Binary addition Adding two 8 bit binary numbers

Computers are not as smart as you think, in fact, they only know 2 things…

0 or 1

On or Off

Everything else is told to the computer by a human, this is called programming.

Page 4: Welcome Year 6 · 10 1010 11 1011 12 1100 Remember Denary is our number system base 10 because we have 10 fingers ... b) c) 66 37 129. Binary addition Adding two 8 bit binary numbers

For a computer

0 means turn a circuit off

1 means turn a circuit on

Just like a light switch

Page 5: Welcome Year 6 · 10 1010 11 1011 12 1100 Remember Denary is our number system base 10 because we have 10 fingers ... b) c) 66 37 129. Binary addition Adding two 8 bit binary numbers

Humans need to learn the computers language to be able to tell computers what to do.The computers language is called Binary.

Huge combinations of 1s and 0s would be too complicated for us to understand, so we need programming languages to help us to give computers instructionsthat they can execute or do.

We will learn more about that in Year 7 though.

Here is an example of what binary code looks like:

0101010001101000011010010111001100100000011010010111001100100000011001010110000101110011011110010000110100001010

Page 6: Welcome Year 6 · 10 1010 11 1011 12 1100 Remember Denary is our number system base 10 because we have 10 fingers ... b) c) 66 37 129. Binary addition Adding two 8 bit binary numbers

The computer can only use 0s and 1s

So for a computer numbers go like is this…

Denary (our numbers)

Binary

0 0

1 1

2 10

3 11

4 100

5 101

6 110

7 111

8 1000

9 1001

10 1010

11 1011

12 1100

Remember Denary is our number system base 10 because we have 10 fingers

Remember Binary is the computers number system base 2 because the computer has only two possible states

On or off0 or 1

Nothing else!

Page 7: Welcome Year 6 · 10 1010 11 1011 12 1100 Remember Denary is our number system base 10 because we have 10 fingers ... b) c) 66 37 129. Binary addition Adding two 8 bit binary numbers

How am I supposed to remember that?!

To make the number 5, place a 1 under the numbers that you

need and a 0 under the numbers that you don’t…

128 64 32 16 8 4 2 1

128 64 32 16 8 4 2 1

0 0 0 0 0 1 0 1

This is Binary for the number 5 because 4 + 1 = 5

Page 8: Welcome Year 6 · 10 1010 11 1011 12 1100 Remember Denary is our number system base 10 because we have 10 fingers ... b) c) 66 37 129. Binary addition Adding two 8 bit binary numbers

So 5 for us in Denary or Base 10, is 00000101 for the computer

128 64 32 16 8 4 2 1

0 0 0 0 0 1 0 1

101

Page 9: Welcome Year 6 · 10 1010 11 1011 12 1100 Remember Denary is our number system base 10 because we have 10 fingers ... b) c) 66 37 129. Binary addition Adding two 8 bit binary numbers

Try these on your worksheetThis PowerPoint will animate

ClickSlideshow

From current slide

Page 10: Welcome Year 6 · 10 1010 11 1011 12 1100 Remember Denary is our number system base 10 because we have 10 fingers ... b) c) 66 37 129. Binary addition Adding two 8 bit binary numbers

248163264

00 0 1 1 0 0 1

411128

Page 11: Welcome Year 6 · 10 1010 11 1011 12 1100 Remember Denary is our number system base 10 because we have 10 fingers ... b) c) 66 37 129. Binary addition Adding two 8 bit binary numbers

248163264

00 0 1 0 1 0 0

361128

Page 12: Welcome Year 6 · 10 1010 11 1011 12 1100 Remember Denary is our number system base 10 because we have 10 fingers ... b) c) 66 37 129. Binary addition Adding two 8 bit binary numbers

248163264

10 0 0 0 0 0 0

161128

Page 13: Welcome Year 6 · 10 1010 11 1011 12 1100 Remember Denary is our number system base 10 because we have 10 fingers ... b) c) 66 37 129. Binary addition Adding two 8 bit binary numbers

248163264

01 0 0 0 0 0 1

1291128

Page 14: Welcome Year 6 · 10 1010 11 1011 12 1100 Remember Denary is our number system base 10 because we have 10 fingers ... b) c) 66 37 129. Binary addition Adding two 8 bit binary numbers

How did you do?Don’t worry if you found it hard we will learn this in

Year 7

Page 15: Welcome Year 6 · 10 1010 11 1011 12 1100 Remember Denary is our number system base 10 because we have 10 fingers ... b) c) 66 37 129. Binary addition Adding two 8 bit binary numbers

Try these on your worksheet

Page 16: Welcome Year 6 · 10 1010 11 1011 12 1100 Remember Denary is our number system base 10 because we have 10 fingers ... b) c) 66 37 129. Binary addition Adding two 8 bit binary numbers

Now it’s time to convert binary to OUR digits (denary)

128 64 32 16 8 4 2 1

0 1 0 0 0 0 1 0

128 64 32 16 8 4 2 1

0 0 1 0 0 1 0 1

128 64 32 16 8 4 2 1

1 0 0 0 0 0 0 1

a)

b)

c)

66

37

129

Page 17: Welcome Year 6 · 10 1010 11 1011 12 1100 Remember Denary is our number system base 10 because we have 10 fingers ... b) c) 66 37 129. Binary addition Adding two 8 bit binary numbers

Binary additionAdding two 8 bit binary numbers

Page 18: Welcome Year 6 · 10 1010 11 1011 12 1100 Remember Denary is our number system base 10 because we have 10 fingers ... b) c) 66 37 129. Binary addition Adding two 8 bit binary numbers

Working out how to turn a number into binary is pretty easy – yes?

Lets figure out how a computer can add numbers together.

How about 55 + 45

Well that’s 100, right?

Page 19: Welcome Year 6 · 10 1010 11 1011 12 1100 Remember Denary is our number system base 10 because we have 10 fingers ... b) c) 66 37 129. Binary addition Adding two 8 bit binary numbers

Lets see

Page 20: Welcome Year 6 · 10 1010 11 1011 12 1100 Remember Denary is our number system base 10 because we have 10 fingers ... b) c) 66 37 129. Binary addition Adding two 8 bit binary numbers

248163264

10 0 1 0 1 1 1

551128

248163264

00 0 1 1 1 0 11128

45

Page 21: Welcome Year 6 · 10 1010 11 1011 12 1100 Remember Denary is our number system base 10 because we have 10 fingers ... b) c) 66 37 129. Binary addition Adding two 8 bit binary numbers

There are 4 rules

Page 22: Welcome Year 6 · 10 1010 11 1011 12 1100 Remember Denary is our number system base 10 because we have 10 fingers ... b) c) 66 37 129. Binary addition Adding two 8 bit binary numbers

Rules

Computers only understand 1 and 0 remember!

The number 2 does not exist to a computer, neither does any other number

Only 1 or 0

So when we add 1 and zeros we can only ever get to 1 or 0

Hmm

Page 23: Welcome Year 6 · 10 1010 11 1011 12 1100 Remember Denary is our number system base 10 because we have 10 fingers ... b) c) 66 37 129. Binary addition Adding two 8 bit binary numbers

Do not worry it is easy

• Rule 1 0 + 0 = 0

• Rule 2 0 + 1 = 1

• Rule 3 1 + 1 = 0 carry 1

• Rule 4 1 + 1 + carry 1 = 1 carry 1

00

0

011

11

0

111

1

1

1

Page 24: Welcome Year 6 · 10 1010 11 1011 12 1100 Remember Denary is our number system base 10 because we have 10 fingers ... b) c) 66 37 129. Binary addition Adding two 8 bit binary numbers

Ok lets add two 8 bit numbers

Page 25: Welcome Year 6 · 10 1010 11 1011 12 1100 Remember Denary is our number system base 10 because we have 10 fingers ... b) c) 66 37 129. Binary addition Adding two 8 bit binary numbers

248163264

10 0 1 0 1 1 1

55 + 451128

00 0 1 1 1 0 1

00 1 1 0 1 0 0111111

55

45

100

Page 26: Welcome Year 6 · 10 1010 11 1011 12 1100 Remember Denary is our number system base 10 because we have 10 fingers ... b) c) 66 37 129. Binary addition Adding two 8 bit binary numbers

Try task 1 to 3

Page 27: Welcome Year 6 · 10 1010 11 1011 12 1100 Remember Denary is our number system base 10 because we have 10 fingers ... b) c) 66 37 129. Binary addition Adding two 8 bit binary numbers

PlenaryUse your Exit Ticket to write down 2 things you

have learnt this lesson.

Exit Ticket:__________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________