1
GATE EE 2017 Set 1
+1
-0.3
The Boolean expression $$AB + A\overline C + BC$$ simplifies to
A
$$BC + A\overline C$$
B
$$AB + A\overline C + B$$
C
$$AB + A\overline C$$
D
$$AB + BC$$
2
GATE EE 2017 Set 2
+1
-0.3
For a $$3$$ -input logic circuit shown below, the output $$Z$$ can be expressed as A
$$Q + \overline R$$
B
$$P\overline Q + R$$
C
$$\overline Q + R$$
D
$$P + \overline Q + R$$
3
GATE EE 2015 Set 1
+1
-0.3
$$f\left( {A,\,B,\,C,\,D} \right) = \Pi M\left( {0,1,3,4,5,7,9,11,12,13,14,15} \right)$$ is a Maxterm representation of a Boolean function $$f(A,B,C,D)$$ where $$A$$ is the $$MSB$$ and $$D$$ is the $$LSB$$. The equivalent minimized representation of this function is
A
$$\left( {A + \overline C + D} \right)\left( {\overline A + B + D} \right)$$
B
$$A\overline C D + \overline A BD$$
C
$$\overline A C\overline D + A\overline B C\overline D + A\overline B \overline C \overline D$$
D
$$\left( {B + \overline C + D} \right)\left( {A + \overline B + \overline C + D} \right)\left( {\overline A + B + C + D} \right)$$
4
GATE EE 2015 Set 2
+1
-0.3
Consider the following Sum of products expression, $$F.$$
$$F = ABC + \overline A \overline B C + A\overline B C + \overline A BC + \overline A \overline B \overline C$$

The equivalent Product of Sums expression is

A
$$F = \left( {A + \overline B + C} \right)\left( {\overline A + B + C} \right)\left( {\overline A + \overline B + C} \right)$$
B
$$F = \left( {A + \overline B + \overline C } \right)\left( {A + B + C} \right)\left( {\overline A + \overline B + \overline C } \right)$$
C
$$F = \left( {\overline A + B + \overline C } \right)\left( {A + \overline B + \overline C } \right)\left( {A + B + C} \right)$$
D
$$F = \left( {\overline A + \overline B + C} \right)\left( {A + B + \overline C } \right)\left( {A + B + C} \right)$$
GATE EE Subjects
Electromagnetic Fields
Signals and Systems
Engineering Mathematics
General Aptitude
Power Electronics
Power System Analysis
Analog Electronics
Control Systems
Digital Electronics
Electrical Machines
Electric Circuits
Electrical and Electronics Measurement
EXAM MAP
Joint Entrance Examination