1
GATE ECE 2002
Subjective
+5
-0
The block diagram of a linear time invariant system is given in Figure is GATE ECE 2002 Control Systems - State Space Analysis Question 7 English (a) Write down the state variable equations for the system in matrix form assuming the state vector to be $${\left[ {{x_1}\left( t \right)\,\,{x_2}\left( t \right)} \right]^T}$$
(b) Find out the state transition matrix.
(c) Determine y(t), t ≥ 0, when the initial values of the state at time t = 0 are $${x_1}$$(0) = 1, and $${x_2}$$(0) = 1.
2
GATE ECE 2002
MCQ (Single Correct Answer)
+1
-0.3
4-bit 2’s complement representation of a decimal number is 1000. The number is
A
+8
B
$$0$$
C
-7
D
-8
3
GATE ECE 2002
MCQ (Single Correct Answer)
+1
-0.3
If the input to the digital circuit (in the figure) consisting of a cascade of 20 XOR-gates is X then the output Y is equal to

GATE ECE 2002 Digital Circuits - Logic Gates Question 24 English
A
O
B
1
C
$$\overline X $$
D
X
4
GATE ECE 2002
MCQ (Single Correct Answer)
+2
-0.6
The gates G1 and G2 in figure have propagation delays of 10nsec and 20nsec respectively. If the input Vi makes an abrupt change from logic 0 to 1 at time t = t0, then the output waveform V0 is

GATE ECE 2002 Digital Circuits - Logic Gates Question 12 English
A
GATE ECE 2002 Digital Circuits - Logic Gates Question 12 English Option 1
B
GATE ECE 2002 Digital Circuits - Logic Gates Question 12 English Option 2
C
GATE ECE 2002 Digital Circuits - Logic Gates Question 12 English Option 3
D
GATE ECE 2002 Digital Circuits - Logic Gates Question 12 English Option 4
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