Function f is a function of two inputs, mode and u, defined as follows: If mode = 1: then the input (u), output (f) pairs are as follows: A, C B, A C, E D, G E, F F, DG, B If mode = 0: then the input (u), output (f) pairs are as follows: A, 3.5 B, 3.0 C, 2.5 D, 2.5 E, 1.0 F, 0.5 G, 0.5 (column 1 is u, column 2 is the corresponding f) Show all details of design and implementation for this function. Use Decoder synthesis for any logic synthesis you need to do. You may NOT use any higher-level circuits apart from decoders (and the n- input OR gates that may be required for decoder synthesis). Function f is a function of two inputs, mode and u, defined as follows: If mode = 1: then the input (u), output (f) pairs are as follows: A, C B, A C, E D, G E, F F, DG, B If mode = 0: then the input (u), output (f) pairs are as follows: A, 3.5 B, 3.0 C, 2.5 D, 2.5 E, 1.0 F, 0.5 G, 0.5 (column 1 is u, column 2 is the corresponding f) Show all details of design and implementation for this function. Use Decoder synthesis for any logic synthesis you need to do. You may NOT use any higher-level circuits apart from decoders (and the n- input OR gates that may be required for decoder synthesis)