4. Let n be a positive even integer. (a) a for all æ E {0, 1}"? Justify your answer. How many functions f: (0, 1}" {0, 1}" are there that satisfy f(x) # (b) from a by reversing the ordering of the bits of a. (e.g., the first bit of a becomes the last bit of z, etc.) How many strings r E (0, 1}" satisfy rev = x? Justify Given a string r e {0, 1}", let rev denote the string in {0, 1}" obtained your answer. (c) a and f(r) # ev for all r E {0, 1}"? Justify your answer. How many functions f: {0, 1}"{0, 1}" are there that satisfy f(r) #

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