Given a logic function f(a, b, c) = (b.c+a). (b+ac), (a) find the minterms of f(a, b, c); (b) (c) (9 Marks) assuming f(a, b, c) = IIM(1,2,5,6), implement f(a, b, c) using the 3-to-8 decoder, of which the function table is given in Table 2, and one additional logic gate with any number of inputs; (8 Marks) assuming f(a,b,c)=Σm(0,4,5,7), implement f(a,b,c) using the 4-to-1 MUX of which the function table is given in Table 3. Table 2 Input Output I2 I1 Io Y7 Y6 Y5 Y4 Y3 Y2 Y₁ Yo 0 0 0 1 1 1 1 1 1 1 0 0 0 1 1 1 1 1 1 1 0 1 0 1 0 1 1 1 1 0 1 1 1 1 1 1 1 0 0 1 1 1 0 1 0 1 1 1 0 1 1011 0 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 0 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 Table 3 S1 So Y 0 0 Do 0 1 D1 1 0 D2 1 1 D3 (8 Marks)