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Q&A #5640

Teachers' Lounge Discussion: Math 7-12

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From: Loyd <loydlin@aol.com>
To: Teacher2Teacher Public Discussion
Date: 2008122317:31:20
Subject: Re: Re: binary numbers

On 2002020507:39:50, Loyd wrote:
>On 2002020500:49:16, meghan wrote:
>>	hello everyone! i am student teaching and i need to make a lesson
>>plan on binary numbers there is not much help on the internet. i
need
>>a internet project that the class can do as well as some other
>>activities to do with binary number. i can make the lesson plan for
>>any age gropup so any activities will be helpful. if anyone has
ideas
>>please let me know. thanks 
>>
>I edited the last by taking out the 251 which I had left in by
>mistake.
>
>Suggestion: Make base ten chart showing ones, tens, hundreds,
>thousands etc something like this using both names and exponents 
>Lets convert 28 to binary for example:
>10,000's  1000's   100's    tens     ones 
>10^4   |  10^3  | 10^2  |  10^1  |  10^0  |
>|      |        |       |    2   |    8   | 
>|      |        |       |        |        |
>|      |        |       |        |        |
>|      |        |       |        |        |
>|      |        |       |        |        |
>
>
>   16's    8's      4's    2's      ones
>| 2^4  |  2^3   |   2^2 |  2^1   |  2^0   |
>|   1  |   1    |    1  |     0  |   0       (16+8+4=28)=28
>|      |        |       |        |        |
>|      |        |       |        |        |
>|      |        |       |        |        |
>|      |        |       |        |        |
>
>If you need more help, then let me know and I can expand on this.  I
>might suggest a calculator such as the HP 6s has binary, octal and
>hexidecimal conversion keys on them.  I would suggest using an aid
>like that to help.  The HP 6s is also a very nice inexpensive
>scientific calculator suitable for all science classes.
>

   16's    8's      64's    8's      ones
| 8^4  |  8^3   |   8^2 |  8^1   |  8^0   |
|      |        |       |     3  |   4    |    (24+4=28)
|      |        |       |        |        |(3 eights + 4 ones=28)
|      |        |       |        |        |
|      |        |       |        |        |
|      |        |       |        |        |

In any base the base raised to the zero th power is 1
In any base, the base raised to the first power is 10 
In any base the base raised to the 2 power is 100
In any base the base raised to the 3 power is 1000 etc.  But of course
1000 in base 8 means no ones, no 8s, no 64s and one 512.  So, 512 base
10 = 1000, base 8. 

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