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Digital Circuits
Number System and Code Convertions
Marks 1Marks 2
Boolean Algebra
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Logic Gates
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Combinational Circuits
Marks 1Marks 2Marks 5Marks 8Marks 10
Sequential Circuits
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Semiconductor Memories
Marks 1Marks 2
Logic Families
Marks 1Marks 2Marks 8
Analog to Digital and Digital to Analog Converters
Marks 1Marks 2
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1
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
$$\overline {Q\,} S\, + Q\,\overline S \,$$
2
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
$$(X + Y + \overline Z ).(\overline X + Y + Z).(\overline X + Y + \overline Z ).((\overline X + \overline Y + Z).(\overline X + \overline Y + \overline Z )$$
3
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
$$(x + \overline y + \overline z )(\overline x + y + z)(\overline x + \overline y + z)(x + y + z)$$
4
GATE ECE 2014 Set 1
MCQ (Single Correct Answer)
+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, $$\overline x \,\,\overline {\,z} $$
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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