In the class, we learned the design of 74x157, a 2-input 4-bit multiplexer. Study its logic diagram (Figure 6-61) and truth table (Table 6-43). And design a 3-input, 5-bit multiplexer. The three data sources are (D04, D03, D02, D01, D00), (D14, D13, D12, D11, D10) and (D24, D23, D22, D21, D20), respectively. The selection bits are (S1, S0). The outputs are (Y4, Y3, Y2, Y1, Y0). No enable bit is needed. No active-low logic required. All outputs are zero if (S1, S0) = (1,1). (10 points) (1) Write the truth table of the multiplexer; (2) Draw a logic diagram of the multiplexer.