1
GATE EE 2015 Set 2
+2
-0.6
A Boolean function $$f\left( {A,B,C,D} \right) = \Pi \left( {1,5,12,15} \right)$$ is to be implemented using an $$8 \times 1$$ multiplexer ($$A$$ is $$MSB$$). The inputs $$ABC$$ are connected to the select inputs $${S_2}{S_1}{S_0}$$ of the multiplexer respectively.

Which one of the following options gives the correct inputs to pins $$0,1,2,3,4,5,6,7$$ in order?

A
$$D,\,0,\,D,\,0,\,0,\,0,\,\overline D ,D$$
B
$$\overline D ,\,1,\,\overline D ,\,1,\,1,\,1,\,D,\overline D$$
C
$$D,1,D,1,1,1,\overline D ,D$$
D
$$\overline D ,\,0,\,\overline D ,\,0,\,0,\,0,\,D,\,\overline D$$
2
GATE EE 2015 Set 2
+2
-0.6
In the following sequential circuit, the initial state (before the first clock pulse) of the circuit is $${Q_1}{Q_0}$$ $$=00.$$ The state $$\left( {{Q_1}{Q_0}} \right),$$ immediately after the $${333^{rd}}$$ clock pulse is
A
$$00$$
B
$$01$$
C
$$10$$
D
$$11$$
3
GATE EE 2015 Set 2
Numerical
+2
-0
The current i (in Ampere) in the 2 Ω resistor of the given network is _________.
4
GATE EE 2015 Set 2
+1
-0.3
A series RL circuit is excited at t = 0 by closing a switch as shown in the figure. Assuming zero initial conditions, the value of $$\frac{\mathrm d^2\mathrm I}{\mathrm{dt}^2}$$ at t=0+ is
A
$$\frac VL$$
B
$$\frac{-V}R$$
C
$$0$$
D
$$\frac{-RV}{L^2}$$
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