GATE EE 2017 Set 2 | Boolean Algebra Question 5 | Digital Electronics

For a $$3$$ -input logic circuit shown below, the output $$Z$$ can be expressed as GATE EE 2017 Set 2 Digital Electronics - Boolean Algebra Question 3 English

$$Q + \overline R $$

$$P\overline Q + R$$

$$\overline Q + R$$

$$P + \overline Q + R$$

GATE EE 2015 Set 1

MCQ (Single Correct Answer)

-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

$$\left( {A + \overline C + D} \right)\left( {\overline A + B + D} \right)$$

$$A\overline C D + \overline A BD$$

$$\overline A C\overline D + A\overline B C\overline D + A\overline B \overline C \overline D $$

$$\left( {B + \overline C + D} \right)\left( {A + \overline B + \overline C + D} \right)\left( {\overline A + B + C + D} \right)$$

GATE EE 2015 Set 2

MCQ (Single Correct Answer)

-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

$$F = \left( {A + \overline B + C} \right)\left( {\overline A + B + C} \right)\left( {\overline A + \overline B + C} \right)$$

$$F = \left( {A + \overline B + \overline C } \right)\left( {A + B + C} \right)\left( {\overline A + \overline B + \overline C } \right)$$

$$F = \left( {\overline A + B + \overline C } \right)\left( {A + \overline B + \overline C } \right)\left( {A + B + C} \right)$$

$$F = \left( {\overline A + \overline B + C} \right)\left( {A + B + \overline C } \right)\left( {A + B + C} \right)$$

GATE EE 2012

MCQ (Single Correct Answer)

-0.3

In the sum of products function $$f\,\left( {X,\,Y,\,Z} \right) = \sum \left( {2,\,\,3,\,\,4,\,\,5} \right),$$ the prime implicants are

$$\overline X Y,\,X\overline Y $$

$$\overline X Y,\,X\overline Y \overline Z ,X\overline Y Z$$

$$X\overline Y Z,\overline X YZ,X\overline Y $$

$$\,\overline X Y\overline Z ,\overline X YZ,X\overline Y \overline Z ,X\overline Y Z$$

Questions Asked from Marks 1

GATE EE 2024 (1) GATE EE 2017 Set 1 (1) GATE EE 2017 Set 2 (1) GATE EE 2015 Set 1 (1) GATE EE 2015 Set 2 (1) GATE EE 2012 (1)

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