1. What is a Priority Encoder? 2. An 8×1 MUX has select inputs S2?,S1? and S0? connected to A,B and C respectively. Data inputs are connected as: I1?=I2?=0,I3?=I7?=1,I4?=I5?=D,I0?=I6?=D?. Find the Boolean function F(A, B, C, D) implemented by the multiplexer. 3. An 8×1 MUX has select inputs S2?,S1? and S0? connected to B,C and D respectively. Data inputs are connected as: I1?=I2?=0,I3?=I7?=1,I4?=I5?=A,I0?=I6?=A?. Find the Boolean function F(A,B,C,D) implemented by the multiplexer.