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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): 
You can put this solution on YOUR website! Check my profile and email me for one to one math tutoring online. 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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