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- 1. Johnna Noles<br />Ecomp7100<br />Binary Number System<br />
- 2. What do computers do?<br />
- 3. Having a good understanding of how binary works is fundamental to knowing many other aspects of how all digital technology works, including computers, networks, PDAs, cell telephones, TVs, etc.<br />Rationale<br />Objective: to realize the importance of the binary number system and convert numbers between base-ten and base-two number systems.<br />
- 4. Processing Information<br />Electricity is either on or off.<br />1=on<br />0=off<br />
- 5. Decimal Numbers<br />Base-Ten System<br />0<br />1<br />2<br />3<br />4<br />5<br />6<br />7<br />8<br />9<br />10<br />11<br />12<br />13<br />14<br />95<br />96<br />97<br />98<br />99<br />100<br />101<br />15<br />16<br />17<br />18<br />19<br />20<br />21<br />22<br />23<br />24<br />Thousands<br />Hundreds<br />Tens<br />Ones<br />103<br />102<br />101<br />100<br />10-1<br />10-2<br />Decimal Point<br />
- 6. Expanded Form<br />Thousands<br />Hundreds<br />Tens<br />Ones<br />103<br />102<br />101<br />100<br />10-1<br />10-2<br />2 5 3 8<br />6 9 4 7<br />2000+500+30+8=2538<br />6000+900+40+7=6947<br />
- 7. Binary Numbers<br />Base-Two System<br />0<br />1<br />10<br />11<br />100<br />101<br />111<br />1000<br />1001<br />1010<br />1011<br />1100<br />1101<br />1110<br />1111<br />10000<br />110<br />Sixteens<br />Eights<br />Fours<br />Twos<br />Ones<br />24<br />23<br />22<br />21<br />20<br />16<br />8<br />4<br />2<br />1<br />Value<br />
- 8. Binary Numbers, Simplified<br />“Binary Numbers in 60 Seconds”<br />YouTube<br />
- 9. Converting: Binary to Decimal<br />24<br />23<br />22<br />21<br />20<br />4<br />2<br />1<br />8<br />16<br />1<br />0<br />0<br />0<br />1<br />(16x1)+(8x0)+(4x0)+(2x1)+(1x0) = <br />18<br />1<br />0<br />1<br />0<br />1<br />(16x1)+(8x1)+(4x0)+(2x1)+(1x0) = <br />25<br />
- 10. Converting: Decimal to Binary<br />24<br />23<br />22<br />21<br />20<br />4<br />2<br />1<br />8<br />16<br /> 11 = <br />1<br />1<br />1<br />0<br />0<br /> 28 = <br />0<br />1<br />0<br />1<br />1<br />
- 11. Binary Addition<br />Excel Link <br /> 17 + 24 = ____ <br />
- 12. Partner Work<br />Assignment: With a partner, you have 5 minutes to convert decimal numbers to binary numbers.<br />1<br />1<br />1<br />0<br />0<br />0<br />1<br />0<br />0<br />1<br />0<br />1<br />0<br />1<br />1<br />1<br />0<br />1<br />0<br />0<br />1<br />0<br />0<br />1<br />1<br />
- 13. Bits and Bytes<br />
- 14. Easy Conversions<br />
- 15. Summary<br />Bits are binary digits. <br />Each bit can hold the value 0 or 1. Bytes are made up of 8 bits each. <br />Binary math works just like decimal math, but each bit can have a value of only 0 or 1. <br />Microchips use transistors to process the information (on and off electrical currents) so the computer understands it.<br />
- 16. “There are only 10 kinds of people in this world, those who understand binary and those who don’t.”<br />
- 17. References<br />MathCrazyTutoring. (2007, February 13). Binary code in 60 seconds [Video file]. Retrieved from http://www.youtube.com/watch?v=qdFmSlFojIw<br />Binary primer. (n.d.). Retrieved from http://www.lesley.edu/faculty/wbarowy/c7100H/Binary.html<br />Brian, M. (2000, April 1). How Bits and Bytes Work. Retrieved from http://computer.howstuffworks.com/bytes.htm<br />

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