An 8×1 MUX has inputs A, B, and C connected to the selection inputs S2, S1, and S0, respectively. The data inputs I0 through I7 are wired as follows: I0 = I1 = 0, I2 = I6 = , I3 = I5 = I7 = 1; and I4 = D. (a) Determine the Boolean function that the MUX implements. (b) Implement the function using a 4×1 MUX with minimum extra logic gates.