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i dont understand binary

callum  May 18, 2015

Best Answer 

 #1
avatar+91038 
+10

What does any base mean?

Our numbers are usually in base 10

so

$$\\5689(base 10) =5689_{10}= 5*10^3+6*10^2+8*10^1+9*10^0\\\\$$

With base 10 there are 10 digits.

0,1,2,3,4,5,6,7,8 and 9

 

--------------------------------------------------------------------------

NOW base 2 has only 2 digits   1 and 0         BINARY IS BASE 2

this number

 

$$\\100111_2 = (1*2^5)+(0*2^4)+(0*2^3)+(1*2^2)+(1*2^1)+(1*2^0)\\\\
100111_2 = 32+0+0+4+2+1\\\\
100111_2 = 39\;\;base\;10\\\\$$

 

I hope that helps but feel free to ask questions :)

Melody  May 18, 2015
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1+0 Answers

 #1
avatar+91038 
+10
Best Answer

What does any base mean?

Our numbers are usually in base 10

so

$$\\5689(base 10) =5689_{10}= 5*10^3+6*10^2+8*10^1+9*10^0\\\\$$

With base 10 there are 10 digits.

0,1,2,3,4,5,6,7,8 and 9

 

--------------------------------------------------------------------------

NOW base 2 has only 2 digits   1 and 0         BINARY IS BASE 2

this number

 

$$\\100111_2 = (1*2^5)+(0*2^4)+(0*2^3)+(1*2^2)+(1*2^1)+(1*2^0)\\\\
100111_2 = 32+0+0+4+2+1\\\\
100111_2 = 39\;\;base\;10\\\\$$

 

I hope that helps but feel free to ask questions :)

Melody  May 18, 2015

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