1
GATE EE 2006
MCQ (Single Correct Answer)
+1
-0.3
For a system with the transfer function $$H\left( s \right) = {{3\left( {s - 2} \right)} \over {{s^3} + 4{s^2} - 2s + 1}},\,\,$$ the matrix $$A$$ in the state space form $$\mathop X\limits^ \bullet = AX + BU$$ is equal to
A
$$\left( {\matrix{ 1 & 0 & 0 \cr 0 & 1 & 0 \cr { - 1} & 2 & { - 4} \cr } } \right)$$
B
$$\left( {\matrix{ 0 & 1 & 0 \cr 0 & 0 & 1 \cr { - 1} & 2 & { - 4} \cr } } \right)$$
C
$$\left( {\matrix{ 0 & 1 & 0 \cr 3 & { - 2} & 1 \cr 1 & { - 2} & 4 \cr } } \right)$$
D
$$\left( {\matrix{ 1 & 0 & 0 \cr 0 & 0 & 1 \cr { - 1} & 2 & { - 4} \cr } } \right)$$
2
GATE EE 2006
MCQ (Single Correct Answer)
+2
-0.6
A $$4 \times 1\,\,MUX$$ is used to implement a $$3$$- input Boolean function as shown in figure. The Boolean function $$F\left( {A,\,\,B,\,\,C} \right)$$ implemented is GATE EE 2006 Digital Electronics - Combinational Circuits Question 2 English
A
$$F\left( {A,\,\,B,\,\,C} \right) = \sum \left( {1,\,\,2,\,\,4,\,\,6} \right)$$
B
$$F\left( {A,\,\,B,\,\,C} \right) = \sum \left( {1,\,\,2,\,\,6} \right)$$
C
$$F\left( {A,\,\,B,\,\,C} \right) = \sum \left( {2,\,\,4,\,\,5,\,\,6} \right)$$
D
$$F\left( {A,\,\,B,\,\,C} \right) = \sum \left( {1,\,\,5,\,\,6} \right)$$
3
GATE EE 2006
MCQ (Single Correct Answer)
+2
-0.6
A TTL NOT gate circuit is shown in figure. Assuming $${V_{BE}} = 0.7\,v$$ of both the transistors, if $${V_i} = 3.0\,V,$$ then the states of the two transistors will be GATE EE 2006 Digital Electronics - Logic Families and Memories Question 1 English
A
$${Q_1}\,\,ON$$ and $${Q_2}\,\,OFF$$
B
$${Q_1}$$ reverse $$\,\,ON$$ and $${Q_2}\,\,OFF$$
C
$${Q_1}$$ reverse $$\,\,ON$$ and $${Q_2}\,\,ON$$
D
$${Q_1}\,\,OFF$$ and $${Q_2}$$ reverse $$\,\,ON$$
4
GATE EE 2006
MCQ (Single Correct Answer)
+2
-0.6
A student has made a-$$3$$ bit binary down counter and connected to the $$R$$-$$2R$$ ladder type $$DAC$$ [Gain $$=$$ $$\left( { - 1k\Omega /2R} \right)$$ as shown in figure to generate a staircase waveform.

The output achieved is different as shown in figure. What could be the possible cause of this error?

GATE EE 2006 Digital Electronics - Analog to Digital and Digital to Analog Converter Question 1 English 1 GATE EE 2006 Digital Electronics - Analog to Digital and Digital to Analog Converter Question 1 English 2
A
The resistance values are incorrect
B
The counter is not working property
C
The connection from the counter to $$DAC$$ is not proper
D
The $$R$$ and $$2R$$ resistances are interchanged
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