What is the numeric value of the string

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Reference no: EM13209787

Consider numbers having a binary representation consiting of aninfinite string of the form 0.yyyyyy..., where y is a k-bitsequence. For example, the binary representation of 1/3 is0.01010101... (y = 01, and k=2), while the representation of 1/5 is0.001100110011... (y = 0011, and k=4). A: Give a formula in terms of y and k for the value represented by the infinite string. Hint: Consider the effect of shifting the binary point k positions to the right. B:What is the numeric value of the string for the following values of y? Note that the value of k is implied; e.g.for case i, k=3, etc. i: 101 ii: 10101 iii: 000111

Reference no: EM13209787

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