.11 base 10 is approx (0.00011100001) base 2
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It does not - unless you are counting in base 11.
The base could be 11 and the exponent 2, giving 112 But, it could equally be base = 14641, and exponent = 0.5, or base = 10, and exponent = 2.082785 (approx)
11 is 50% of 22 11 is the portion 50% is the rate 22 is the base The rate is a percent or fraction, the base is the whole unit, and the portion is a part of the base
11000000111001 base 2
You can choose the base to be any number (other than 0, -1 and 1) and calculate the appropriate exponent, or you can choose any exponent and calculate the appropriate base. For example, base 10: 121 = 10^2.08278537 (approx) Or exponent = 10: 121 = 1.615394266^10 (approx). I expect, though, that the answer that is required is 121 = 11^2.