1
GATE ECE 2014 Set 1
+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, $$\overline x \,\,\overline {\,z}$$
2
GATE ECE 2009
+2
-0.6
If X=1 in the logic equation $$\left[ {X + Z\left\{ {\overline Y + (\overline Z + X\overline {Y)} } \right\}} \right]$$ $$\left\{ {\overline X + \overline Z (X + Y)} \right\} = 1,$$ then
A
Y=Z
B
Y= $${\overline Z }$$
C
Z= 1
D
Z= 0
3
GATE ECE 2007
+2
-0.6
The Boolean expression Y= $$\overline A \,\overline B \,\overline C \,D + \overline A BC\overline D + A\overline {B\,} \overline C \,D + AB\overline C \,\overline D$$
A
Y = $$\overline A \,\overline B \,\overline C \,D + \overline A B\overline C + A\overline C D$$
B
Y = $$\overline A \,\overline B \,\overline C \,D + BC\overline D + A\overline B \overline C \,D$$
C
Y=$$\overline A \,BC\,\overline D + \overline B \,\overline C D + A\overline B \overline C \,D$$
D
Y= $$\overline A \,BC\,\overline D + \overline B \,\overline C D + AB\overline C \,\overline D$$
4
GATE ECE 2006
+2
-0.6
The point p in the following figure is stuck- at-1. The output f will be A
$$\overline {AB\overline {C\,} }$$
B
$$\overline A$$
C
$$AB\overline C$$
D
A
GATE ECE Subjects
Signals and Systems
Network Theory
Control Systems
Digital Circuits
General Aptitude
Electronic Devices and VLSI
Analog Circuits
Engineering Mathematics
Microprocessors
Communications
Electromagnetics
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