Binary Numbers and Computing : Lindsey Young
ECOMP 7100 Binary Numbers and Computing
What do you know about electricity? : Electricity is the flow of electrical power or charge
Electricity is neither renewable or nonrenewable
We get electric energy from sources such as coal, nuclear or solar energy What do you know about electricity?
Electrical Circuits : Electrical Circuits Electrical currents flow in a circular path
In this image there are four main components to this circuit:
The power source
The conductor
The light bulbs
The switch When the switch is on the electrical current is running.
When the switch is off the electrical current is not running.
Time for an Activity! : Record a “1” when the light switch is ON
Record a “0” when the light switch is OFF
Keep this sheet of paper for later Time for an Activity!
Binary Number System : The binary number system consists of two numbers:
0 and 1
Computers use the binary number system to process information
The binary number system is also known as base-two Binary Number System
Decimal Number System : We use the decimal computing system daily
The decimal computing system has 10 numbers:
0, 1, 2, 3, 4, 5, 6, 7, 8, 9
The decimal number system is also known as base-ten Decimal Number System
Binary Numbers Video : Binary Numbers Video
Converting from Decimal to Binary : Each place in binary is a power of two: Example: 1, 2, 4, 8, 16, 32, & so on
There can only be two numbers in binary: 0 and 1
FOR EXAMPLE:
15
How many 32’s are in 15? 0
How many 16’s are in 15? 0
How many 8’s are in 15? 1
How many 4’s are in 15? 1
How many 2’s are in 15? 1
How many 1’s are in 15? 1
The binary number for 15 is: 1111
Check your work by adding the power of two numbers with 1’s:
8+4+2+1= 15 Converting from Decimal to Binary
Let’s try some together! : What would 12 and 20 be in binary form?
32 16 8 4 2 1
12= 1 1 0 0
Let’s check: 8+4= 12 CORRECT!
20= 1 0 1 0 0
Let’s check: 16+4=20 CORRECT! Let’s try some together!
Your Turn! : Your Turn! With a partner, see if you can convert these numbers to binary:
6
11
14
23
27 ANSWERS:
0110
1011
1110
10111
11011
Do You See a Pattern in the Binary Chart? : Do You See a Pattern in the Binary Chart? Look at the eights and fours columns
In both columns, the numbers repeat in every fourth place
Windows Binary Calculator : Windows Binary Calculator Use the Windows calculator to convert any number to binary
What would 2,323 be in binary?
Use the Windows calculator to find out!
Evaluation : Evaluation Congratulations! You have just learned how to convert between binary and decimal numbers.
Get the sheet of paper from the activity at the beginning of the lesson. Can you figure out what the binary number is we made by turning the light switch on and off?
References : Binary primer. (n.d). Retrieved from
http://www.lesley.edu/faculty/wbarowy/c7100H/Binary.html
Electrical circuits (2010). Retrieved from
http://shop.pitsco.com/content/item.aspx?CategoryID=47&ap=6&art=34&bhcp=1
Energy sources: Electricity. (n.d.). Retrieved from
http://www.eia.doe.gov/kids/energy.cfm?page=electricity_home-basics-k.cfm
ENGLISH computer science unplugged - Part 1 binary [Video]. (January 5, 2008). Retrieved from
http://www.youtube.com/watch?v=b6vHZ95XDwU References