Introduction to the Binary Number System
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Transcript of Introduction to the Binary Number System
![Page 1: Introduction to the Binary Number System](https://reader035.fdocuments.net/reader035/viewer/2022081422/556adb3bd8b42a1d668b502f/html5/thumbnails/1.jpg)
The Binary Number System
James HamiltonLewisham College
aka The Base-2 Number System
![Page 2: Introduction to the Binary Number System](https://reader035.fdocuments.net/reader035/viewer/2022081422/556adb3bd8b42a1d668b502f/html5/thumbnails/2.jpg)
Aims
Understand the basics of the binary number system
Convert binary numbers to decimal numbers
Convert decimal numbers to binary numbers
![Page 3: Introduction to the Binary Number System](https://reader035.fdocuments.net/reader035/viewer/2022081422/556adb3bd8b42a1d668b502f/html5/thumbnails/3.jpg)
Decimal Revision Activity
Place the squares on your desk in the correct order
Fill in the blank square
![Page 4: Introduction to the Binary Number System](https://reader035.fdocuments.net/reader035/viewer/2022081422/556adb3bd8b42a1d668b502f/html5/thumbnails/4.jpg)
Decimal Revision Activity
Place the squares on your desk in the correct order
Fill in the blank square
Place counters on the squares to represent the 4 digit number 3126
![Page 5: Introduction to the Binary Number System](https://reader035.fdocuments.net/reader035/viewer/2022081422/556adb3bd8b42a1d668b502f/html5/thumbnails/5.jpg)
3126
3 x 1000 +
1 x 100 +
2 x 10 +
6 x 6 = 3126
1000 100 10 1 3 1 2 6
![Page 6: Introduction to the Binary Number System](https://reader035.fdocuments.net/reader035/viewer/2022081422/556adb3bd8b42a1d668b502f/html5/thumbnails/6.jpg)
3126
3 x 1000 +
1 x 100 +
2 x 10 +
6 x 6 = 3126
1000 100 10 1 3 1 2 6
![Page 7: Introduction to the Binary Number System](https://reader035.fdocuments.net/reader035/viewer/2022081422/556adb3bd8b42a1d668b502f/html5/thumbnails/7.jpg)
3126
3 x 1000 +
1 x 100 +
2 x 10 +
6 x 6 = 3126
1000 100 10 1 3 1 2 6
![Page 8: Introduction to the Binary Number System](https://reader035.fdocuments.net/reader035/viewer/2022081422/556adb3bd8b42a1d668b502f/html5/thumbnails/8.jpg)
3126
3 x 1000 +
1 x 100 +
2 x 10 +
6 x 1 = 3126
1000 100 10 1 3 1 2 6
![Page 9: Introduction to the Binary Number System](https://reader035.fdocuments.net/reader035/viewer/2022081422/556adb3bd8b42a1d668b502f/html5/thumbnails/9.jpg)
3126
3 x 1000 +
1 x 100 +
2 x 10 +
6 x 1 = 3126
1000 100 10 1 3 1 2 6
![Page 10: Introduction to the Binary Number System](https://reader035.fdocuments.net/reader035/viewer/2022081422/556adb3bd8b42a1d668b502f/html5/thumbnails/10.jpg)
Binary (base-2) Number System
In the decimal (base-10) number system:
Each new column is 10 times the previous column value.
There are 10 numbers (0 – 9).
![Page 11: Introduction to the Binary Number System](https://reader035.fdocuments.net/reader035/viewer/2022081422/556adb3bd8b42a1d668b502f/html5/thumbnails/11.jpg)
Binary (base-2) Number System
In the decimal (base-10) number system:
Each new column is 10 times the previous column value.
There are 10 numbers (0 – 9).
In the binary (base-2) number system:
Each new column is ? times the previous column value.
There are ? numbers (? - ?)
![Page 12: Introduction to the Binary Number System](https://reader035.fdocuments.net/reader035/viewer/2022081422/556adb3bd8b42a1d668b502f/html5/thumbnails/12.jpg)
Binary (base-2) Number System
In the decimal (base-10) number system:
Each new column is 10 times the previous column value.
There are 10 numbers (0 – 9).
In the binary (base-2) number system:
Each new column is 2 times the previous column value.
There are ? Numbers (? - ?)
![Page 13: Introduction to the Binary Number System](https://reader035.fdocuments.net/reader035/viewer/2022081422/556adb3bd8b42a1d668b502f/html5/thumbnails/13.jpg)
Binary (base-2) Number System
In the decimal (base-10) number system:
Each new column is 10 times the previous column value.
There are 10 numbers (0 – 9).
In the binary (base-2) number system:
Each new column is 2 times the previous column value.
There are 2 numbers (0 – 1)
Known as “binary digits” or “bits”
![Page 14: Introduction to the Binary Number System](https://reader035.fdocuments.net/reader035/viewer/2022081422/556adb3bd8b42a1d668b502f/html5/thumbnails/14.jpg)
Conversion Activity
convert binary to decimal
convert decimal to binary
e.g. what is 1101 in decimal
e.g. what is 9 in binary
![Page 15: Introduction to the Binary Number System](https://reader035.fdocuments.net/reader035/viewer/2022081422/556adb3bd8b42a1d668b502f/html5/thumbnails/15.jpg)
Worksheet
Pick a decimal number (random, age, door number, etc) write the binary in the boxes on the worksheet.
Swap worksheets with the person next to you.
Convert their binary number to decimal.
Did you get their number correct?
Try a longer binary number.
![Page 16: Introduction to the Binary Number System](https://reader035.fdocuments.net/reader035/viewer/2022081422/556adb3bd8b42a1d668b502f/html5/thumbnails/16.jpg)
What's the point?
Binary is simple – only 2 different digits.
Computers are made of millions of tiny electronic switches (transistors).
So what?
![Page 17: Introduction to the Binary Number System](https://reader035.fdocuments.net/reader035/viewer/2022081422/556adb3bd8b42a1d668b502f/html5/thumbnails/17.jpg)
What's the point?
Binary is simple – only 2 different digits.
Computers are made of millions of tiny electronic switches (transistors).
We can easily represent 0s and 1s using switches.
0 = off, 1 = on
![Page 18: Introduction to the Binary Number System](https://reader035.fdocuments.net/reader035/viewer/2022081422/556adb3bd8b42a1d668b502f/html5/thumbnails/18.jpg)
“There are 10 kinds of people in the world – those that understand binary, and those
that don't.”