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Unformatted text preview: 9 } . The output z is deﬁned as, 1 z = ± x 2 , if x > 4 2 x , otherwise (1) The input x is encoded via a 2421 code as described in Table 2.3 in the book. The output z consists of two digits encoded via 2421 code. Fill in the following table and then give a oneset and dcset representation of each switching function f i . Z 1 3 Z 1 2 Z 1 1 Z 1 Z 3 Z 2 Z 1 Z x X 3 X 2 X 1 X f 7 f 6 f 5 f 4 f 3 f 2 f 1 f 1 2 3 4 5 6 7 8 9 Problem 5 Given a value x with representation X = X 3 X 2 X 1 X and weight vector W = ( W 3 ,W 2 ,W 1 ,W ) we recall that, x = 3 X i =0 X i W i Show that if the weight vector satisﬁes the following properties, X i W i = n then the complement of X, denoted as X = X 3 X 2 X 1 X satisﬁes, X = nX . Hint: given a bit α , α = 1α . 2...
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 Fall '07
 MilosEragovich
 Numerical digit, Konrad Zuse, Representation theory, Z1, X3 X2 X1

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