4-bit 2’s complement representation of a decimal number is 1000. The number is

If the input to the digital circuit (in the figure) consisting of a cascade of 20 XOR-gates is X then the output Y is equal to

The gates G₁ and G₂ in figure have propagation delays of 10nsec and 20nsec respectively. If the input V_i makes an abrupt change from logic 0 to 1 at time t = t₀, then the output waveform V₀ is

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