1
GATE EE 2007
MCQ (Single Correct Answer)
+2
-0.6
Which one of the following statements regarding the $$INT$$ (interrupt) and the $$BRQ$$ (bus request) pins in a $$CPU$$ is true?
A
The $$BRQ$$ pin is sampled after every instruction cycle, but the $$INT$$ is sampled after every machine cycle
B
Both $$INT$$ and $$BRQ$$ are sampled after every machine cycle
C
The $$INT$$ pin is sampled after every instruction cycle, but the $$BRQ$$ is sampled after every machine cycle
D
Both $$INT$$ and $$BRQ$$ are sampled after every instruction cycle
2
GATE EE 2007
MCQ (Single Correct Answer)
+2
-0.6
$$A,B,C$$ and $$D$$ are input bits, and $$Y$$ is the output bit in the $$XOR$$ gate circuit of the figure below. Which of the following statements about the sum $$S$$ of $$A,B,C,D$$ and $$Y$$ is correct? GATE EE 2007 Digital Electronics - Logic Gates Question 2 English
A
$$S$$ is always either zero or odd
B
$$S$$ is always either zero or even
C
$$S=1$$ only if the sum of $$A,B,C$$ and $$D$$ is even
D
$$S=1$$ only if the sum of $$A,B,C$$ and $$D$$ is odd
3
GATE EE 2007
MCQ (Single Correct Answer)
+2
-0.6
A $$3$$ $$V$$ $$dc$$ supply with an internal resistance of $$2$$ $$\Omega $$ supplies a passive non-linear resistance characterized by the relation $${V_{NL}} = {{\rm I}^2}{}_{NL}$$. The power dissipated in the non-linear resistance is
A
$$1.0$$ $$W$$
B
$$1.5$$ $$W$$
C
$$2.5$$ $$W$$
D
$$3.0$$ $$W$$
4
GATE EE 2007
MCQ (Single Correct Answer)
+2
-0.6
The matrix $$A$$ given below is the node incidence matrix of a network. The columns correspond to braches of the network while the rows correspond to nodes. Let
$$V = {\left[ {{v_1}\,\,{v_2}....{v_6}} \right]^T}$$ denote the vector of branches voltages while
$${\rm I} = {\left[ {{i_1}\,{i_2}....{i_6}} \right]^T}$$ that of branch currents. The vector $$E = {\left[ {{e_1}\,{e_2}\,\,{e_3}\,{e_4}} \right]^T}$$ denotes the vector of node voltages relative to a common ground. $$$A = \left[ {\matrix{ 1 & 1 & 1 & 0 & 0 & 0 \cr 0 & { - 1} & 0 & { - 1} & 1 & 0 \cr { - 1} & 0 & 0 & 0 & { - 1} & { - 1} \cr 0 & 0 & { - 1} & 1 & 0 & 1 \cr } } \right]$$$

Which of the following statements is true?

A
The equations $${v_1} - {v_2} + {v_3} = 0,$$ $${v_3} + {v_4} - {v_5} = 0$$ are $$KVL$$ equations for the network for some loops
B
The equations $${v_1} - {v_3} - {v_6} = 0,\,$$ $${v_4} + {v_5} - {v_6} = 0$$ are $$KVL$$ equations for the network for some loops
C
$$E=AV$$
D
$$AV=0$$ are $$KVL$$ equations for the network
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