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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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