mrs. noland's binary system ppt
DESCRIPTION
This is a ppt that is paired with a lesson on the binary system and it is used in computing.TRANSCRIPT
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The Binary System
By Desiree Noland
Just how does that
computer work???
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Key words
• Digital• Binary System• Data• Base-10• Base-2• Switch (Electronics)
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Let’s pull it apart
Bi:Bi-cycle
Bi-focals
So Bi means “two”
Nary• Dictionary
definition:• “Not one”
Binary=two not one
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What is the binary system and how is it used in computing?
• We use number systems everyday.• Hold up your hand-how many fingers do you
see?• TEN! We use a base-10 number set• Base-10 has 0,1,2,3,4,5,6,7,8,9• Our computers uses a number set too-the
binary system!
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Electronics-How do they work?
On Off
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Computers and circuits are in 2 states:
• On• Off
• This is encoded by the Binary System! The Binary System tells computers and circuits which wires need to be on and which need to be off.
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Binary System:
• Number system computers use at the most basic levels.
• It is made of:– 0– 1
• It is also called the Base-2 system because it has 2 numbers
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But how does it work???
• Base-10 or the decimal system– 0,1,2,3,4,5,6,7,8,9
• Base-2 or Binary system:– 0,1
• 0=Off and 1=On
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Binary System
0, 110, 11
100, 101, 110, 1111000, 1010, 1011, 1100, 1101, 1110, 1111
• All data is stored as binary numbers
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Binary System
• Binary numbers are created by powers of 2 because there are only 2 numbers in the binary system
• “Binary uses two digits, so each column is worth twice the one before.”– 1,2,4,8,16,32…
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Let’s try it…
1 2 ᶦ 2² 2ᶾ 2⁴ 2⁵1 2x1 2x2 2x2x2 2x2x2x2 2x2x2x2x21 2 4 8 16 32
Now turn 17 into a binary number…17 falls between 16 and 32
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Turning decimal into binary…
16 8 4 2 11 0 0 0 1
16 + 0 + 0 + 0 + 1 = 17
17 in binary form is:10010
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Binary System
• “Binary is an effective number system for computers because it is easy to implement with digital electronics”– All circuits are either switched on or off
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Let’s work it out…
Can you guess this binary numbers decimal form?
0100
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How do I do that?
0 1 0 0 4x1 2x0 1x0
4 + 0 + 0 = 4
The decimal number for 0100 is 4 !
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Now let’s try it the other way…
Can you figure out this base-10’s binary number?
20
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How do I do that?
32 16 8 4 2 1 20
1 0 1 0 0 1x16 0x8 1x4 0x2 0x2
16 + 0 + 4 + 0 + 0 = 20
The binary number for 20 is 10100!
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Great!
• What numbers are in the base-2 or binary number system– 0,1
• Why do we use this system in computers?– We use it because computers are in 2 states-on
or off- 1 or 0.
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Resources and References• Coffey, Neil. (2008). Introduction to Binary Numbers. Javamex. Retrieved September 9,
2011, from http://www.javamex.com/tutorials/arithmetic/binary.shtml
• Kadar, Avraham. (1999). Binary. BrainPop. Retrieved September 9, 2011, from http://www.brainpop.com/technology/computersandinternet/binary/preview.weml
• Mattson, Barbara. (2004, November 17). Detective Digit and the Slap Happy Computer Caper. NASA’s Imagine the Universe! September 9, 2011, from http://imagine.gsfc.nasa.gov/docs/teachers/lessons/slap/slap_main.html
• Redshaw, Kerry. (1996). Binary-So Simple a Computer Can Do It. [email protected]. Retrieved September 9, 2011, from http://www.kerryr.net/pioneers/binary.htm
• Swanson, W. (2002). Introduction to Binary Numbers: How Computers Store Numbers. Swanson Technologies. Retrieved September 9, 2011, from http://www.swansontec.com/binary.html