Binary

How do you transfer binary into Base 10?

• 16+8+1=25                          1 1 0 0 1  
•                                           16 8 4 2 1                  
• In the representation above, this shows 25 in binary.
• This is a model of how binary works.  You will see
• multiples and factors of 8.  Then you will see 11001.

How do you transfer binary into base 10, 2?

• The 11001 on the previous slide was binary.  The 16, 8, 4, 2 and 1,
• you wouldn't see in binary.  The 16, 8 and 1 have 1s over them,
• and the 4 and 2 have 0s over them.  The numbers with 1s over them, you
• add together, the numbers with 0s, you don't add.  So 16+8+1=25.  That
• 25 is base 10, what we use.  You just need be able to do this in your head.

How do you transfer binary into numbers, 3?

• Each number on the bottom half of our model is 2 times the size,
• of the previous base 10 number.  So if you wanted to to another,
• number on our bottom half it would be 32 after 16.

Is binary an efficient way to comunicate?

• It depends on your point of view.
• People think base 2 (binary) is inefficient because a single word is long but base 10,
• what we use today, is inefficient because there are many numbers to remember in base 10.

Is binary an efficient wary to communicate 2

• Because binary is so basic, our electronics use binary.
• Binary is like a light switch, on and off, 1s and 0s.  Deep
• down our devices are ons and offs.  Surprising, right?

My thinking

• I think binary is a sophisticated but useful language.
• Binary is a brilliant language that helps us everyday,
• In our computers and electronics.  Binary allows us to do
• things that would't be possible today.  Thank you to binary.

Credits

• Helpful people:  Dia, Finn and Kathleen.
• Sources:http://www.mathsisfun.com, //www.kerryr.net
• //kids.britannica.com, //math.stackexchange.com

Questions?