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Question 534046:  Convert the numeral to a numeral in base 10:  1100 two  (the two is written smaller and is next to the 1100). 
 Answer by fcabanski(1391)      (Show Source): 
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1100 with a subscript 2 indicates that the number is written in base-2.  We normally write numbers in base ten.  You should be familiar with places in base 10.
 
The first digit to the left of the decimal is the ones (10^0), then the next is the tens (10^1), hundreds (10^2), thousands (10^3), and it continues.  
 
In base-19 1100 is one thousand, one hundred.
 
1's - 0 
10's - 0 
100's - 1 = 100 
1000's - 1 = 1000
 
1000 + 100 = 1100
 
In base two the the first digit to the left of the decimal is the ones (2^0), then the next is the twos (2^1), then the fours (2^2) then the 8's (2^3) and it continues.
 
1100 in base-2 is:
 
1's - 0 
2's - 0 
4's - 1  = 4 
8's - 1 = 8
 
That's 8+4 = 12 in base-10 notation.
 
 
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