GATE EE 2014 Set 2 | GATE EE Year Wise Previous Years Questions

GATE EE 2014 Set 2

MCQ (Single Correct Answer)

-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

$$\left[ {\matrix{ {{e^t}} & 0 \cr {{e^t}} & {{e^t}} \cr } } \right]$$

$$\left[ {\matrix{ {{e^t}} & 0 \cr {{t^2}{e^t}} & {{e^t}} \cr } } \right]$$

$$\left[ {\matrix{ {{e^t}} & 0 \cr {t{e^t}} & {{e^t}} \cr } } \right]$$

$$\left[ {\matrix{ {{e^t}} & {t{e^t}} \cr 0 & {{e^t}} \cr } } \right]$$

GATE EE 2014 Set 2

MCQ (Single Correct Answer)

-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

$$\left( {\overline B + C} \right)\left( {\overline A + C} \right)\left( {\overline A + \overline B } \right)\left( {\overline C + D} \right)$$

$$\left( {\overline B + C} \right)\left( {\overline A + C} \right)\left( {\overline A + \overline C } \right)\left( {\overline C + D} \right)$$

$$\left( {\overline B + C} \right)\left( {\overline A + C} \right)\left( {\overline A + \overline C } \right)\left( {\overline C + \overline D } \right)$$

$$\left( {\overline B + C} \right)\left( {A + \overline B } \right)\left( {\overline A + \overline B } \right)\left( {\overline C + D} \right)$$

GATE EE 2014 Set 2

MCQ (Single Correct Answer)

-0.6

A $$JK$$ flip flop can be implemented by $$T$$ flip flops. Identify the correct implementation.