1. The inputs to the system shown in Fig. 1 represent a single character in Gray code shown in Fig. 2. Input combinations other than those shown in Fig. 2 NEVER occur. The output f is asserted if and only if exactly 3 or exactly 4 of the gray code input bits shown in Fig. 2 are 1, otherwise f is not asserted. Input combinations other than those shown in Fig. 2 NEVER occur. This is also called majority bits detector for gray codes Gray Code Character A BCD Majority Gray Code Detector Fig. 1 Fig. 2 Determine a minimal SOP realization for this detector. Clearly show your reasoning