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The decimal number corresponding to a sequence of n binary digits a0, a1, …, an-1,where each ai ∈{0, 1}, is defined to bea0 2^0 … an-1 2^n-1.For example, the sequence 0110 is equal to 6(= 0· 2^0 1· 2^1 1· 2^2 0· 2^3).Suppose a fair coin is tossed nine times. Replace the resulting sequence of H's and T'swith a binary sequence of 1s and 0s (H => 1, T => 0). For how many sequences oftosses will the decimal, corresponding to the observed set of heads and tails, exceed256? Hint 2^8 = 256.
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