1
GATE ECE 2004
MCQ (Single Correct Answer)
+2
-0.6
The state variable equations of a system are: $$${\mathop {{x_1} = - 3{x_1} - x}\limits^ \bullet _2} + u$$$ $$${\mathop x\limits^ \bullet _2} = 2{x_1}$$$ $$$y = {x_1} + u.$$$
The system is
A
controllable but not observable.
B
observable but not controllable.
C
neither controllable nor observable.
D
controllable and observable.
2
GATE ECE 2004
MCQ (Single Correct Answer)
+2
-0.6
A system has poles at 0.01 Hz, 1Hz and 80 Hz; zeroes at 5hz, 100 Hz and 200 Hz. The approximate phase of the system response at 20 Hz is
A
$$ - {90^0}$$
B
$$ {0^0}$$
C
$$ {90^0}$$
D
$$ {-180^0}$$
3
GATE ECE 2004
MCQ (Single Correct Answer)
+1
-0.3
Figure shows the internal schematic of a TTL AND-OR-Invert (AOI) gate. For the inputs shown in Figure, the output Y is GATE ECE 2004 Digital Circuits - Logic Families Question 13 English
A
0
B
1V
C
AB
D
$$\overline {AB} $$
4
GATE ECE 2004
MCQ (Single Correct Answer)
+2
-0.6
11001, 1001 and 111001 correspond to the 2’s complement representation of which one of the following sets of number?
A
25, 9 and 57 respectively
B
-6, -6 and –6 respectively
C
-7, -7 and –7 respectively
D
-25, -9 and –57 respectively
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