The inputs to a digital circuit shown in Figure 9(a) are the external signals A, B and C. ( $$\overline A \,\overline B \,and\,\overline {C\,} $$ and are not available). The +5V power supply (logic 1) and the ground (logic 0) are also available. The output of the circuit is X = $$\overline A \,B + \,\overline A \,\overline B \,\,\overline {C\,} $$
(a) Write down the output function in its canonical SOP and POS forms.
(b) Implement the circuit using only two 2:1 multiplexers shown in the Figure where S is the data-select line, $${D_0}\,$$ and $${D_1}\,$$ are the input data lines and Y is the output lines. The function table for the multiplexer is given in table