1
GATE EE 2014 Set 2
MCQ (Single Correct Answer)
+2
-0.6
For the transfer function $$G\left( s \right) = {{5\left( {s + 4} \right)} \over {s\left( {s + 0.25} \right)\left( {{s^2} + 4s + 25} \right)}}.$$ The values of the constant gain term and the highest corner frequency of the Bode plot respectively are
A
$$3.2, 5.0$$
B
$$16.0, 4.0$$
C
$$3.2, 4.0$$
D
$$16.0, 5.0$$
2
GATE EE 2014 Set 2
MCQ (Single Correct Answer)
+1
-0.3
The state transition matrix for the system $$\left[ {\matrix{ {\mathop {{x_1}}\limits^ \bullet } \cr {\mathop {{x_2}}\limits^ \bullet } \cr } } \right] = \left[ {\matrix{ 1 & 0 \cr 1 & 1 \cr } } \right]\left[ {\matrix{ {{x_1}} \cr {{x_2}} \cr } } \right] + \left[ {\matrix{ 1 \cr 1 \cr } } \right]u$$ is
A
$$\left[ {\matrix{ {{e^t}} & 0 \cr {{e^t}} & {{e^t}} \cr } } \right]$$
B
$$\left[ {\matrix{ {{e^t}} & 0 \cr {{t^2}{e^t}} & {{e^t}} \cr } } \right]$$
C
$$\left[ {\matrix{ {{e^t}} & 0 \cr {t{e^t}} & {{e^t}} \cr } } \right]$$
D
$$\left[ {\matrix{ {{e^t}} & {t{e^t}} \cr 0 & {{e^t}} \cr } } \right]$$
3
GATE EE 2014 Set 2
MCQ (Single Correct Answer)
+2
-0.6
The $$SOP$$ (sum of products) from of a Boolean function is $$\sum \left( {0,1,3,7,11} \right),$$ where inputs are $$A,B,C,D$$ ($$A$$ is $$MSB$$, and $$D$$ is $$LSB$$). The equivalent minimized expression of the function is
A
$$\left( {\overline B + C} \right)\left( {\overline A + C} \right)\left( {\overline A + \overline B } \right)\left( {\overline C + D} \right)$$
B
$$\left( {\overline B + C} \right)\left( {\overline A + C} \right)\left( {\overline A + \overline C } \right)\left( {\overline C + D} \right)$$
C
$$\left( {\overline B + C} \right)\left( {\overline A + C} \right)\left( {\overline A + \overline C } \right)\left( {\overline C + \overline D } \right)$$
D
$$\left( {\overline B + C} \right)\left( {A + \overline B } \right)\left( {\overline A + \overline B } \right)\left( {\overline C + D} \right)$$
4
GATE EE 2014 Set 2
MCQ (Single Correct Answer)
+2
-0.6
A $$JK$$ flip flop can be implemented by $$T$$ flip flops. Identify the correct implementation.
A
GATE EE 2014 Set 2 Digital Electronics - Sequential Circuits Question 12 English Option 1
B
GATE EE 2014 Set 2 Digital Electronics - Sequential Circuits Question 12 English Option 2
C
GATE EE 2014 Set 2 Digital Electronics - Sequential Circuits Question 12 English Option 3
D
GATE EE 2014 Set 2 Digital Electronics - Sequential Circuits Question 12 English Option 4
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