1
GATE ECE 1997
Subjective
+5
-0

For the circuit shown in the figure, choose state variables as $${x_{1,}}{x_{2,}}{x_3}$$ to be $${i_{L1}}\left( t \right),{v_{c2}}\left( t \right),{i_{L3}}\left( t \right)$$

Wriote the state equations

$$\left[ {\matrix{ {\mathop {{x_1}}\limits^ \bullet } \cr {\mathop {{x_2}}\limits^ \bullet } \cr {\mathop {{x_3}}\limits^ \bullet } \cr } } \right] = A\left[ {\matrix{ {{x_1}} \cr {{x_2}} \cr {{x_3}} \cr } } \right] + B\left[ {e\left( t \right)} \right]$$\$
2
GATE ECE 1997
+1
-0.3
A signed integer has been stored in a byte using the 2's complement format. We wish to store the same integer in a 16-bit word. We should
A
copy the original byte to the less significant byte of the word and fill the more significant with zeros
B
copy the original byte to the more significant byte of the word and fill the less significant with zeros
C
copy the original byte to the less significant byte of the word and make each bit of the more significant byte equal to the most significant bit of the original byte
D
copy the original byte to the less significant byte as well as the more significant byte of the word
3
GATE ECE 1997
+1
-0.3
The output of the logic gate in figure is
A
0
B
1
C
$$\overline A \,$$
D
A
4
GATE ECE 1997
+1
-0.3
A 2-bit binary multiplier can be implemented using
A
2 input AND gates only.
B
2 number of 2-input XOR gates and 6 number of 2-input AND gates.
C
Two 2-input NOR gates and one XNOR gate.
D
XOR gates and shift registers.
GATE ECE Papers
2023
2022
2021
2019
2018
2013
2012
2011
2010
2009
2008
2007
2006
2005
2004
2003
2002
2001
2000
1999
1998
1997
1996
1995
1994
1993
1992
1991
1990
1989
1988
1987
EXAM MAP
Medical
NEET