Mrs. Noland's Binary System ppt
- 1. The Binary SystemBy Desiree NolandJust how does that computer work???
- 2. Key wordsDigitalBinary SystemDataBase-10Base-2Switch (Electronics)
- 3. Let’s pull it apartBi:Bi-cycleBi-focalsSo Bi means “two”NaryDictionary definition:“Not one”Binary=two not one
- 4. 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 setBase-10 has 0,1,2,3,4,5,6,7,8,9Our computers uses a number set too-the binary system!
- 5. Electronics-How do they work?OnOff
- 6. Computers and circuits are in 2 states:OnOffThis 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.
- 7. Binary System:Number system computers use at the most basic levels.It is made of:01It is also called the Base-2 system because it has 2 numbers
- 8. But how does it work???Base-10 or the decimal system0,1,2,3,4,5,6,7,8,9Base-2 or Binary system:0,10=Off and 1=On
- 9. Binary System0, 110, 11100, 101, 110, 1111000, 1010, 1011, 1100, 1101, 1110, 1111All data is stored as binary numbers
- 10. Binary SystemBinary 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…
- 11. Let’s try it… 2ᶦ 2² 2ᶾ 2⁴ 2⁵1 2x1 2x2 2x2x2 2x2x2x2 2x2x2x2x21 2 4 8 16 32Now turn 17 into a binary number…17 falls between 16 and 32
- 12. Turning decimal into binary…16 8 4 2 11 0 0 0 116 + 0 + 0 + 0 + 1 = 1717 in binary form is:10010
- 13. 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
- 14. Let’s work it out…Can you guess this binary numbers decimal form?0100
- 15. How do I do that?0 1 0 0 4x1 2x0 1x0 4 + 0 + 0 = 4The decimal number for 0100 is 4 !
- 16. Now let’s try it the other way…Can you figure out this base-10’s binary number?20
- 17. 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 = 20The binary number for 20 is 10100!
- 18. Great!What numbers are in the base-2 or binary number system0,1Why do we use this system in computers?We use it because computers are in 2 states-on or off- 1 or 0.
- 19. Resources and ReferencesCoffey, Neil. (2008). Introduction to Binary Numbers. Javamex. Retrieved September 9, 2011, from http://www.javamex.com/tutorials/arithmetic/binary.shtmlKadar, Avraham. (1999). Binary. BrainPop. Retrieved September 9, 2011, from http://www.brainpop.com/technology/computersandinternet/binary/preview.wemlMattson, 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.htmlRedshaw, Kerry. (1996). Binary-So Simple a Computer Can Do It. [email protected]. Retrieved September 9, 2011, from http://www.kerryr.net/pioneers/binary.htmSwanson, W. (2002). Introduction to Binary Numbers: How Computers Store Numbers. Swanson Technologies. Retrieved September 9, 2011, from http://www.swansontec.com/binary.html