1
GATE ECE 2014 Set 1
MCQ (Single Correct Answer)
+2
-0.6
Consider the state space model of a system, as given below GATE ECE 2014 Set 1 Control Systems - State Space Analysis Question 19 English

The system is

A
controllable and observable.
B
uncontrollable and observable.
C
uncontrollable and unobservable.
D
controllable and unobservable.
2
GATE ECE 2014 Set 1
MCQ (Single Correct Answer)
+1
-0.3
The Boolean expression (X+Y)(X+$$\overline Y $$)+($$\overline {(X\overline Y ) + \overline X } $$ simplifies to
A
X
B
Y
C
XY
D
X+Y
3
GATE ECE 2014 Set 1
MCQ (Single Correct Answer)
+2
-0.6
Consider the Boolean function, F(w,z,y,z)=wy+ xy +$$\overline w \,xyz + \overline w \,\overline x y\, + xz + \,\overline {x\,} \,\overline y \,$$ $$\overline z $$ Which one of the following is the complete set of essential prime implicants?
A
$$w,y,xz,\overline x \,\overline z $$
B
w, y, xz
C
$$y,\overline x \,\overline {y\,} \overline {\,z} $$
D
y, xz, $$\overline x \,\,\overline {\,z} $$
4
GATE ECE 2014 Set 1
MCQ (Single Correct Answer)
+2
-0.6
The output F in the digital logic circuit shown in the figure is GATE ECE 2014 Set 1 Digital Circuits - Logic Gates Question 11 English
A
$$F\, = \overline X YZ + X\overline Y Z$$
B
$$F\, = \overline X YZ + X\overline Y Z$$
C
$$F\, = \,\overline X \overline Y Z + XYZ$$
D
$$F\, = \,\overline X \overline Y \overline {Z + } XYZ$$
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