1
GATE ECE 2014 Set 2
MCQ (Single Correct Answer)
+2
-0.6
An unforced linear time invariant (LTI) system is represented by $$$\left[ {\matrix{ {\mathop {{x_1}}\limits^ \bullet } \cr {\mathop {{x_2}}\limits^ \bullet } \cr } } \right] = \left[ {\matrix{ { - 1} & 0 \cr 0 & { - 2} \cr } } \right]\left[ {\matrix{ {{x_1}} \cr {{x_2}} \cr } } \right].$$$

If the initial conditions are x1(0)= 1 and x2(0)=-1, the solution of the state equation is

A
$${x_1}\left( t \right) = - 1,{x_2}\left( t \right) = 2$$
B
$${x_1}\left( t \right) = - {e^{ - t}},{x_2}\left( t \right) = 2{e^{ - t}}$$
C
$${x_1}\left( t \right) = {e^{ - t}},{x_2}\left( t \right) = - {e^{ - 2t}}$$
D
$${x_1}\left( t \right) = {e^{ - t}},{x_2}\left( t \right) = - 2{e^{ - t}}$$
2
GATE ECE 2014 Set 2
MCQ (Single Correct Answer)
+2
-0.6
Consider the state space system expressed by the signal flow diagram shown in the figure. GATE ECE 2014 Set 2 Control Systems - State Space Analysis Question 16 English

The corresponding system is

A
always controllable
B
always observable
C
always stable
D
always unstable
3
GATE ECE 2014 Set 2
Numerical
+1
-0
The number of bytes required to represent the decimal number 1856357 in packed BCD (Binary Coded Decimal) form is __________ .
Your input ____
4
GATE ECE 2014 Set 2
MCQ (Single Correct Answer)
+1
-0.3
For an n - variable Boolean function maximum number of prime implicants is
A
2(n-1)
B
n/2
C
$${2^n}$$
D
2$$^{_{(n - 1)}}$$
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