Transforming between two encodings for boolean vectors. a boolean n-vector is one for which all entries are either 0 or 1. such vectors are used to encode whether each of n conditions holds, with ai = 1 meaning that condition i holds. another common encoding of the same information uses the two values −1 and +1 for the entries. for example the boolean vector (0, 1, 1, 0) would be written using this alternative encoding as (−1, +1, +1, −1). suppose that x is a boolean vector with entries that are 0 or 1, and y is a vector encoding the same information using the values −1 and +1. express y in terms of x using vector notation. also, express x in terms of y using vector notation.