Lesson 4 Binary Addition
Presentation
•
Computers
•
9th Grade
•
Practice Problem
•
Easy
Kerry Griffiths
Used 5+ times
FREE Resource
45 Slides • 6 Questions
1
Convert from decimal to binary
Starter activity
128
64
32
16
8
4
2
1
Try these conversions
from decimal to binary.
1. 65
2. 129
3. 160
4. 210
5. 176
2
Match
Match the following decimal numbers with their binary number10000
13
42
65
87
129
00001101
00101010
01000001
01010111
10000001
00001101
00101010
01000001
01010111
10000001
3
Lesson 3: Binary
addition
KS4 – Data representations
4
In this lesson, you will:
● Perform addition in binary on two binary numbers
● Perform addition in binary on three binary numbers
Lesson 3: Binary addition
Objectives
5
The four golden rules of binary addition
Rule 1
0 + 0 = 0
0
+
0
0
Activity 2
In decimal, 0 + 0 = 0
6
The four golden rules of binary addition
Rule 2
0 + 1 = 1
0
+
1
1
In decimal, 0 + 1 = 1
Activity 2
7
The four golden rules of binary addition
Rule 3
1 + 1 = 10
1
+
1
1
0
In decimal, 1 + 1 = 2
Activity 2
8
The four golden rules of binary addition
Rule 4
1 + 1 + 1 = 11
1
1
+
1
1
1
In decimal, 1 + 1 + 1 = 3
Activity 2
9
Binary addition
Rules
●0 + 0 = 0
●0 + 1 = 1
●1 + 1 = 10
●1 + 1 + 1 = 11
1
0
0
+
1
0
=
Activity 2
Let’s try an example!
10
Binary addition
Rules
● 0 + 0 = 0
● 0 + 1 = 1
● 1 + 1 = 10
● 1 + 1 + 1 = 11
1
0
0
+
1
0
=
0
Activity 2
11
Binary addition
Rules
● 0 + 0 = 0
● 0 + 1 = 1
● 1 + 1 = 10
● 1 + 1 + 1 = 11
1
0
0
+
1
0
=
1
0
Activity 2
12
Binary addition
Rules
● 0 + 0 = 0
● 0 + 1 = 1
● 1 + 1 = 10
● 1 + 1 + 1 = 11
1
0
0
+
1
0
=
1
1
0
Activity 2
13
Binary addition
Rules
● 0 + 0 = 0
● 0 + 1 = 1
● 1 + 1 = 10
● 1 + 1 + 1 = 11
1
0
0
+
1
0
=
1
1
0
100 + 10 = 110 in binary
4 + 2 = 6 in decimal
Activity 2
14
Binary addition
Rules
● 0 + 0 = 0
● 0 + 1 = 1
● 1 + 1 = 10
● 1 + 1 + 1 = 11
1
0
0
+
1
0
1
=
Activity 2
15
Binary addition
Rules
● 0 + 0 = 0
● 0 + 1 = 1
● 1 + 1 = 10
● 1 + 1 + 1 = 11
1
0
0
+
1
0
1
=
1
Activity 2
16
Binary addition
Rules
● 0 + 0 = 0
● 0 + 1 = 1
● 1 + 1 = 10
● 1 + 1 + 1 = 11
1
0
0
+
1
0
1
=
0
1
Activity 2
17
Binary addition
Rules
● 0 + 0 = 0
● 0 + 1 = 1
● 1 + 1 = 10
● 1 + 1 + 1 = 11
1
0
0
+
1
0
1
=
1
0
0
1
Activity 2
18
Binary addition
Rules
● 0 + 0 = 0
● 0 + 1 = 1
● 1 + 1 = 10
● 1 + 1 + 1 = 11
1
0
0
+
1
0
1
=
1
0
0
1
100 + 101 = 1001 in binary
4 + 5 = 9 in decimal
Activity 2
19
Binary addition
Rules
● 0 + 0 = 0
● 0 + 1 = 1
● 1 + 1 = 10
● 1 + 1 + 1 = 11
1
0
1
+
1
1
=
Activity 2
20
Binary addition
Rules
● 0 + 0 = 0
● 0 + 1 = 1
● 1 + 1 = 10
● 1 + 1 + 1 = 11
1
0
1
+
1
1
=
0
1
Activity 2
21
Binary addition
Rules
● 0 + 0 = 0
● 0 + 1 = 1
● 1 + 1 = 10
● 1 + 1 + 1 = 11
1
0
1
+
1
1
=
0
1
Activity 2
22
Binary addition
Rules
● 0 + 0 = 0
● 0 + 1 = 1
● 1 + 1 = 10
● 1 + 1 + 1 = 11
1
0
1
+
1
1
=
0
0
1
1
Activity 2
23
Binary addition
Rules
● 0 + 0 = 0
● 0 + 1 = 1
● 1 + 1 = 10
● 1 + 1 + 1 = 11
1
0
1
+
1
1
=
0
0
1
1
Activity 2
24
Binary addition
Rules
● 0 + 0 = 0
● 0 + 1 = 1
● 1 + 1 = 10
● 1 + 1 + 1 = 11
1
0
1
+
1
1
=
1
0
0
0
1
1
Activity 2
25
Binary addition
Rules
● 0 + 0 = 0
● 0 + 1 = 1
● 1 + 1 = 10
● 1 + 1 + 1 = 11
1
0
1
+
1
1
=
1
0
0
0
1
1
101 + 11 = 1000 in binary
5 + 3 = 8 in decimal
Activity 2
26
Binary addition
Rules
● 0 + 0 = 0
● 0 + 1 = 1
● 1 + 1 = 10
● 1 + 1 + 1 = 11
1
1
1
+
1
1
=
Activity 2
27
Binary addition
Rules
● 0 + 0 = 0
● 0 + 1 = 1
● 1 + 1 = 10
● 1 + 1 + 1 = 11
1
1
1
+
1
1
=
0
1
Activity 2
28
Binary addition
Rules
● 0 + 0 = 0
● 0 + 1 = 1
● 1 + 1 = 10
● 1 + 1 + 1 = 11
1
1
1
+
1
1
=
0
1
Activity 2
29
Binary addition
Rules
● 0 + 0 = 0
● 0 + 1 = 1
● 1 + 1 = 10
● 1 + 1 + 1 = 11
1
1
1
+
1
1
=
1
0
1
1
Activity 2
30
Binary addition
Rules
● 0 + 0 = 0
● 0 + 1 = 1
● 1 + 1 = 10
● 1 + 1 + 1 = 11
1
1
1
+
1
1
=
1
0
1
1
Activity 2
31
Binary addition
Rules
● 0 + 0 = 0
● 0 + 1 = 1
● 1 + 1 = 10
● 1 + 1 + 1 = 11
1
1
1
+
1
1
=
1
0
1
0
1
1
Activity 2
32
Binary addition
Rules
● 0 + 0 = 0
● 0 + 1 = 1
● 1 + 1 = 10
● 1 + 1 + 1 = 11
1
1
1
+
1
1
=
1
0
1
0
1
1
111 + 11 = 1010 in binary
7 + 3 = 10 in decimal
Activity 2
33
Multiple Choice
0 + 0 =
0
1
10
11
34
Multiple Choice
1 + 1 =
1
0
10
11
35
Multiple Choice
0 + 1 =
0
1
11
10
36
Multiple Choice
1 + 1 + 1 =
10
11
0
1
37
Complete the activity sheet to
practise some binary addition.
Try it yourself!
Activity 2
38
Adding three binary numbers together
Activity 3
1
0
0
1
0
0
+
1
0
=
Rules
● 0 + 0 = 0
● 0 + 1 = 1
● 1 + 1 = 10
● 1 + 1 + 1 = 11
39
Adding three binary numbers together
Activity 3
1
0
0
1
0
0
+
1
0
=
0
Rules
● 0 + 0 = 0
● 0 + 1 = 1
● 1 + 1 = 10
● 1 + 1 + 1 = 11
40
Adding three binary numbers together
Activity 3
1
0
0
1
0
0
+
1
0
=
1
0
Rules
● 0 + 0 = 0
● 0 + 1 = 1
● 1 + 1 = 10
● 1 + 1 + 1 = 11
41
Adding three binary numbers together
Activity 3
1
0
0
1
0
0
+
1
0
=
1
0
1
0
Rules
● 0 + 0 = 0
● 0 + 1 = 1
● 1 + 1 = 10
● 1 + 1 + 1 = 11
42
Adding three binary numbers together
Activity 3
1
0
0
1
0
0
+
1
0
=
1
0
1
0
Rules
● 0 + 0 = 0
● 0 + 1 = 1
● 1 + 1 = 10
● 1 + 1 + 1 = 11
100 + 100 + 10 = 1010 in binary
4 + 4 + 2 = 10 in decimal
43
Adding three binary numbers together
Activity 3
1
1
0
0
1
0
0
0
0
+
1
1
0
=
Rules
● 0 + 0 = 0
● 0 + 1 = 1
● 1 + 1 = 10
● 1 + 1 + 1 = 11
44
Adding three binary numbers together
Activity 3
1
1
0
0
1
0
0
0
0
+
1
1
0
=
0
Rules
● 0 + 0 = 0
● 0 + 1 = 1
● 1 + 1 = 10
● 1 + 1 + 1 = 11
45
Adding three binary numbers together
Activity 3
1
1
0
0
1
0
0
0
0
+
1
1
0
=
1
0
Rules
● 0 + 0 = 0
● 0 + 1 = 1
● 1 + 1 = 10
● 1 + 1 + 1 = 11
46
Adding three binary numbers together
Activity 3
1
1
0
0
1
0
0
0
0
+
1
1
0
=
0
1
0
1
Rules
● 0 + 0 = 0
● 0 + 1 = 1
● 1 + 1 = 10
● 1 + 1 + 1 = 11
47
Adding three binary numbers together
Activity 3
1
1
0
0
1
0
0
0
0
+
1
1
0
=
0
0
1
0
1
1
Rules
● 0 + 0 = 0
● 0 + 1 = 1
● 1 + 1 = 10
● 1 + 1 + 1 = 11
48
Adding three binary numbers together
Activity 3
1
1
0
0
1
0
0
0
0
+
1
1
0
=
1
0
0
0
1
0
1
1
Rules
● 0 + 0 = 0
● 0 + 1 = 1
● 1 + 1 = 10
● 1 + 1 + 1 = 11
1100 + 10000 + 110 = 100010 in binary
12 + 16 + 6 = 34 in decimal
49
See if you can remember the four
golden rules of binary addition.
Don’t cheat by looking at your activity
sheets!
Write them down now.
What are the four rules of binary addition?
Plenary
50
Answer:
● 0 + 0 = 0
● 0 + 1 = 1
● 1 + 1 = 10
● 1 + 1 + 1 = 11
What are the four rules of binary addition?
Plenary
51
Match
See if you can remember the four
golden rules of binary addition.
Don’t cheat by looking at your activity
sheets!
0 + 1 =
0 + 0 =
1 + 1 =
1 + 1 + 1
1
0
10
11
1
0
10
11
Convert from decimal to binary
Starter activity
128
64
32
16
8
4
2
1
Try these conversions
from decimal to binary.
1. 65
2. 129
3. 160
4. 210
5. 176
Show answer
Auto Play
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