GATE EE 2008 | Combinational Circuits Question 9 | Digital Electronics

GATE EE 2008

MCQ (Single Correct Answer)

-0.6

A $$3$$ line to $$8$$ line decoder, with active low outputs, is used to implement a $$3$$- variable Boolean function as shown in the figure: The simplified form of Boolean function $$F(X,Y,Z)$$ implemented in 'Product of Sum' form will be GATE EE 2008 Digital Electronics - Combinational Circuits Question 2 English

GATE EE 2008 Digital Electronics - Combinational Circuits Question 2 English

$$\left( {x + z} \right).\left( {\overline x + \overline y + \overline z } \right).\left( {y + z} \right)$$

$$\left( {\overline x + \overline z } \right).\left( {x + y + z} \right).\left( {\overline y + \overline z } \right)$$

$$\left( {\overline x + \overline y + z} \right).\left( {\overline x + y + z} \right).\left( {x + \overline y + z} \right).\left( {x + y + \overline z } \right)$$

$$\left( {\overline x + \overline y + \overline z } \right).\left( {\overline x + y + \overline z } \right).\left( {x + y + z} \right).\left( {x + \overline y + \overline z } \right)$$

GATE EE 2006

MCQ (Single Correct Answer)

-0.6

A $$4 \times 1\,\,MUX$$ is used to implement a $$3$$- input Boolean function as shown in figure. The Boolean function $$F\left( {A,\,\,B,\,\,C} \right)$$ implemented is GATE EE 2006 Digital Electronics - Combinational Circuits Question 3 English

GATE EE 2006 Digital Electronics - Combinational Circuits Question 3 English

$$F\left( {A,\,\,B,\,\,C} \right) = \sum \left( {1,\,\,2,\,\,4,\,\,6} \right)$$

$$F\left( {A,\,\,B,\,\,C} \right) = \sum \left( {1,\,\,2,\,\,6} \right)$$

$$F\left( {A,\,\,B,\,\,C} \right) = \sum \left( {2,\,\,4,\,\,5,\,\,6} \right)$$

$$F\left( {A,\,\,B,\,\,C} \right) = \sum \left( {1,\,\,5,\,\,6} \right)$$

GATE EE 2000

MCQ (Single Correct Answer)

-0.6

The minimal product-of-sums function described by the $$K$$-map given in Fig. GATE EE 2000 Digital Electronics - Combinational Circuits Question 9 English

GATE EE 2000 Digital Electronics - Combinational Circuits Question 9 English

$$\overline A \overline C $$

$$\overline A + \overline C $$

$$A+C$$

$$AC$$

GATE EE 1999

Subjective

-0

The logic function $$F = AC + ABD + ACD$$ is to be realized using an $$8$$ to $$1$$ multiplexer shown in figure, using $$A, C$$ and $$D$$ as control inputs. GATE EE 1999 Digital Electronics - Combinational Circuits Question 10 English

GATE EE 1999 Digital Electronics - Combinational Circuits Question 10 English

$$(a)$$ Indicate the inputs to be applied at the terminals $$0$$ to $$7.$$
$$(b)$$ Can the function be realize using a $$4$$ to $$1$$ multiplexer?
State YES or NO.

PREVIOUS NEXT

GATE EE Subjects

Electric Circuits

Three Phase Circuits Transient Response Graph Theory Two Port Networks Sinusoidal Steady State Analysis Network Elements Network Theorems

Electromagnetic Fields

Time Varying Fields Electrostatics Magnetostatics

Signals and Systems

Continuous and Discrete Time Signals Linear Time Invariant Systems Continuous Time Signal Fourier Transform Discrete Time Signal Z Transformation Continuous Time Signal Laplace Transform Sampling Theorem Continuous Time Periodic Signal Fourier Series Miscellaneous

Electrical Machines

Induction Machines D.C Machines Synchronous Machines Transformers

Engineering Mathematics

Linear Algebra Differential Equations Calculus Probability and Statistics Numerical Methods Vector Calculus Transform Theory Complex Variable