GATE EC 2018 Question Paper (10-Feb-2018) (Shift 1)

A four-variable boolean function is realized using 4 × 1 multiplexers as shown in the figure.



The minimized expression for F(U, V, W, X) is

A 2 × 2 ROM array is built with the help of diodes as shown in the circuit below. Here W0 and W1 are signals that select the word lines and B0 and B1 are signals that are output of the sense amps based on the stored data corresponding to the bit lines during the read operation.



During the read operation, the selected word line goes high and the other word line is in a high impedance state. As per the implementation shown in the circuit diagram above, what are the bits corresponding to Dᵢⱼ (where i = 0 or 1 and j = 0 or 1) stored in the ROM?

The distance (in meters) a wave has to propagate in a medium having a skin depth of 0.1 m so that the amplitude of the wave attenuates by 20 dB, is

A curve passes through the point (x = 1, y = 0) and satisfies the differential equation $\frac{\mathrm{dy}}{\mathrm{dx}}=\frac{{\mathrm{x}}^2+{\mathrm{y}}^2}{2\mathrm{y}}+\frac{\mathrm{y}}{\mathrm{x}}.$ The equation that describes the curve is

For the circuit given in the figure, the voltage V ${}_C$ (in volts) across the capacitor is