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Digital Circuits
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1
GATE ECE 2017 Set 1
MCQ (Single Correct Answer)
+2
-0.6
Which one of the following gives the simplified sum of products expression for the Boolean function $$F = {m_0} + {m_2} + {m_3} + {m_5},$$ where $$F = {m_0} + {m_2} + {m_3} + {m_5},$$ are minterms corresponding to the inputs A, B and C with A as the MSB and C as the LSB?
A
$$\overline A B + \,\overline A \,\overline B \,\overline C + \,A\overline B \,C$$
B
$$\overline A \,\overline C + \overline A B + A\overline B C$$
C
$$\overline A \,\overline C + A\,\overline B + A\overline B C$$
D
$$\overline A \,BC + \overline A \,\overline C + A\,\overline B C$$
2
GATE ECE 2016 Set 3
MCQ (Single Correct Answer)
+2
-0.6
Following is the k-map of a Boolean function of five variable P, Q, R, S and X. The minimum for the function is GATE ECE 2016 Set 3 Digital Circuits - Boolean Algebra Question 10 English
A
$$\overline P \,\overline {Q\,} \,S\overline X + P\overline Q \,S\overline X + Q\,\overline R \,\,\overline S X + QR\overline {S\,} X$$
B
$$\overline {Q\,} \,S\,\overline X \, + Q\,\overline S \,X$$
C
$$\overline {Q\,} S\,X + Q\,\overline S \,\overline X $$
D
$$\overline {Q\,} S\, + Q\,\overline S \,$$
3
GATE ECE 2015 Set 2
MCQ (Single Correct Answer)
+2
-0.6
A function of Boolean variables X,Y and Z is expressed in terms of the min-terms as F(X, Y, Z)=$$\sum\limits_{}^{} {} $$m(1,2,5,6,7) Which one of the product of sums given below is equal to the funtion F(X, Y, Z)?
A
$$(\overline X + \overline Y + \overline Z ).(\overline X + Y + Z).(X + \overline Y + \overline Z )$$
B
$$(X + Y + Z).(X + \overline Y + \overline Z ).(\overline X + Y + Z)$$
C
$$(\overline X + \overline Y + Z).(\overline X + Y + \overline Z ).(X + \overline Y + Z).(X + Y + \overline Z ).(X + Y + Z)$$
D
$$(X + Y + \overline Z ).(\overline X + Y + Z).(\overline X + Y + \overline Z ).((\overline X + \overline Y + Z).(\overline X + \overline Y + \overline Z )$$
4
GATE ECE 2015 Set 1
MCQ (Single Correct Answer)
+2
-0.6
The Boolean expression F(X, Y, Z)= $$\overline X Y\overline Z + X\overline {Y\,} \overline Z + XY\overline Z + XYZ$$ converted into the canonical product of sum (POS)from is
A
$$(x + y + z)(x + y + \overline z )(x + \overline y + \overline z )(\overline x + y + \overline z )$$
B
$$(x + \overline y + z)(\overline x + y + \overline z )(\overline x + \overline y + z)(\overline x + \overline y + z)$$
C
$$(x + y + z)(\overline x + y + \overline z )(x + \overline y + z)(\overline x + \overline y + \overline z )$$
D
$$(x + \overline y + \overline z )(\overline x + y + z)(\overline x + \overline y + z)(x + y + z)$$
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Questions Asked from Marks 2
GATE ECE 2017 Set 1 (1) GATE ECE 2016 Set 3 (1) GATE ECE 2015 Set 2 (1) GATE ECE 2015 Set 1 (1) GATE ECE 2014 Set 1 (1) GATE ECE 2009 (1) GATE ECE 2007 (1) GATE ECE 2006 (1) GATE ECE 2004 (2) GATE ECE 2003 (1) GATE ECE 1999 (2)
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