SeanBritt.FunWithNumbers History

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[+'''Group activity %newwin%([[http://www.tamucc.edu/wiki/SeanBritt/BinaryNumberActivity|Breakout!]])'''+]
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[+'''Group activity!'''+]
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[+Today we are going to look out how we can use binary digits (bits) to represent numbers since computers don't use the decimal system. I will need four volunteers to come to the front of the room!+]

* [+Each person is holding a card with a certain number of dots on one side and NO dots on the other+]

* [+What do you notice about the number of dots on the cards? How many dots would the next card have if we carried on to the left?+]

* [+Let's flip some cards over so the dots aren't showing. Which cards would we have to flip over to make 6? 15? 9?+]

* [+When a card is not showing, we can represent that with a '''zero'''. When it is showing, we'll use a '''one'''. What number does the binary pattern '''1011''' represent? What would '''13''' be in binary? +]
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[+Before we begin, let's review the '''decimal''' number system. Why does 453 represent 453? (Silly question, I know...but there is a point!)+]



--->[+++453 = (4 x 100) + (5 x 10) + (3 x 1)+++]



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[+Today we are going to look out how we can use binary digits (bits) to represent numbers since computers don't use the decimal system. I will need four volunteers to come to the front of the room!+]

* [+Each person is holding a card with a certain number of dots on one side and NO dots on the other+]

* [+What do you notice about the number of dots on the cards? How many dots would the next card have if we carried on to the left?+]

* [+Let's flip some cards over so the dots aren't showing. Which cards would we have to flip over to make 6? 15? 9?+]

* [+When a card is not showing, we can represent that with a '''zero'''. When it is showing, we'll use a '''one'''. What number does the binary pattern '''1011''' represent? What would '''13''' be in binary? +]

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[+'''Group activity %newwin%([[http://www.tamucc.edu/wiki/SeanBritt/BinaryNumberActivity|Breakout!]])'''+]

* [+Using your cards, figure out the highest number possible you can represent+]

* [+Count from 0 to the highest number using the cards. What pattern, if any, do you notice?+]

* [+Is there more than one way to get any number?+]

* [+What happens when you put a zero on the left of a binary number? What happens when you put a zero on the right of a binary number?+]

* [+'''Expert challenge:''' Try making the numbers 1, 2, 3, and 4 in order again. Can you work out a logical and reliable method of flipping the cards to increase ANY number by 1?+]

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[+'''An awesome Kahn Academy video!'''+]

http://www.youtube.com/watch?v=ku4KOFQ-bB4

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[+'''Related topics:'''+]

* [+%newwin%[[https://s-media-cache-ak0.pinimg.com/564x/fa/3f/8b/fa3f8b032f1df211cfa5a226b973f0e8.jpg|Hexadecimal]] (%newwin%[[http://kkfscs.weebly.com/cs-colors.html|Color Charts]])+]

* [+%newwin%[[http://upload.wikimedia.org/wikipedia/commons/1/1b/ASCII-Table-wide.svg|American Standard Code for Information Interchange (ASCII)]] (%newwin%[[http://www.tamucc.edu/wiki/SeanBritt/ASCII|Try it out!]])+]


* [+ %newwin%[[http://docstore.mik.ua/univercd/illus/4/84/48684.gif|A helpful chart that can't be used on the test!]]+]