Let F(A, B,C)=ABC’+B’C+A’ (a) (6 points) Use the Shannon expansion to expand F over variable C; (b) (9 points) Based on the result of the above Shannon expansion, please implement F using two 4:1 multiplexers and one 2:1 multiplexer. In your design, variables A, B and C can obe used only as the control variables of the multiplexers.