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Recent questions tagged boolean-algebra
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GATE ECE 2015 Set 2 | Question: 36
A function of Boolean variables $X, Y$ and $Z$ is expressed in terms of the min-terms as $F(X, Y, Z) = \Sigma (1, 2, 5, 6, 7)$ Which one of the product of sums given below is equal to the function $F(X, Y, Z)?$ ...
A function of Boolean variables $X, Y$ and $Z$ is expressed in terms of the min-terms as $$F(X, Y, Z) = \Sigma (1, 2, 5, 6, 7)$$Which one of the product of sums given bel...
Milicevic3306
16.0k
points
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Milicevic3306
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Mar 27, 2018
Digital Circuits
gate2015-ec-2
digital-circuits
boolean-algebra
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–
1
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0
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2
GATE ECE 2015 Set 1 | Question: 36
The Boolean expression $F(X,Y,Z) = \overline{X} \: Y \: \overline{Z}+ X \: \overline{Y} \: \overline{Z}+ X \: Y \: \overline{Z} + X \: Y \: Z$ ... $(X+\overline{Y}+\overline{Z})(\overline{X}+Y+Z)(\overline{X}+\overline{Y}+Z)(X + Y + Z)$
The Boolean expression $F(X,Y,Z) = \overline{X} \: Y \: \overline{Z}+ X \: \overline{Y} \: \overline{Z}+ X \: Y \: \overline{Z} + X \: Y \: Z$ converted into the canonica...
Milicevic3306
16.0k
points
96
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Milicevic3306
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Mar 27, 2018
Digital Circuits
gate2015-ec-1
boolean-algebra
digital-circuits
+
–
0
votes
1
answer
3
GATE ECE 2014 Set 2 | Question: 14
For an $n$-variable Boolean function, the maximum number of prime implicants is $2(n-1)$ $n/2$ $2^{n}$ $2^{n-1}$
For an $n$-variable Boolean function, the maximum number of prime implicants is$2(n-1)$$n/2$$2^{n}$$2^{n-1}$
Milicevic3306
16.0k
points
617
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Milicevic3306
asked
Mar 26, 2018
Digital Circuits
gate2014-ec-2
boolean-algebra
digital-circuits
+
–
1
votes
2
answers
4
GATE ECE 2014 Set 1 | Question: 15
The Boolean expression $(X+Y)(X+\overline{Y}) + \overline{(X\;\overline{Y}) + \overline{X}}$ simplifies to $X$ $Y$ $XY$ $X+Y$
The Boolean expression $(X+Y)(X+\overline{Y}) + \overline{(X\;\overline{Y}) + \overline{X}}$ simplifies to$X$$Y$$XY$$X+Y$
Milicevic3306
16.0k
points
243
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Milicevic3306
asked
Mar 25, 2018
Digital Circuits
gate2014-ec-1
digital-circuits
boolean-algebra
+
–
3
votes
1
answer
5
GATE ECE 2014 Set 1 | Question: 41
Consider the Boolean function $F(w,x,y,z) = wy + xy + \overline{w}\:xyz + \overline{w}\:\overline{x}\:y + xz + \overline{x}\:\overline{y}\:\overline{z}.$ Which one of the following is the complete set of essential prime implicants? $w,y,xz,\overline{x}\:\overline{z}$ $w,y,xz$ $y, \overline{x}\:\overline{y}\:\overline{z}$ $y,xz,\overline{x}\:\overline{z}$
Consider the Boolean function $F(w,x,y,z) = wy + xy + \overline{w}\:xyz + \overline{w}\:\overline{x}\:y + xz + \overline{x}\:\overline{y}\:\overline{z}.$ Which one of th...
Milicevic3306
16.0k
points
457
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Milicevic3306
asked
Mar 25, 2018
Digital Circuits
gate2014-ec-1
boolean-algebra
digital-circuits
+
–
1
votes
0
answers
6
GATE ECE 2012 | Question: 19
In the sum of products function $f(X,Y,Z)=\sum(2,3,4,5)$, the prime implicants are $\overline{X}Y,X\overline{Y}$ $\overline{X}Y,X\overline{Y}\;\overline{Z},X\overline{Y}Z$ $\overline{X}Y\overline{Z},\overline{X}YZ,X\overline{Y}$ $\overline{X}Y\overline{Z},\overline{X}YZ,X\overline{Y}\;\overline{Z},X\overline{Y}Z$
In the sum of products function $f(X,Y,Z)=\sum(2,3,4,5)$, the prime implicants are$\overline{X}Y,X\overline{Y}$$\overline{X}Y,X\overline{Y}\;\overline{Z},X\overline{Y}Z$$...
Milicevic3306
16.0k
points
151
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Milicevic3306
asked
Mar 25, 2018
Number Representations
gate2012-ec
digital-circuits
boolean-algebra
+
–
2
votes
1
answer
7
GATE ECE 2018 | Question: 9
A function $F(A, B, C)$ defined by three Boolean variables $\text{A, B and C}$ when expressed as sum of products is given by $F=\overline{A}\:.\overline{B}\:.\overline{C}+\overline{A}\:.B\:.\overline{C}+A\:.\overline{B}\:.\overline{C}$ ...
A function $F(A, B, C)$ defined by three Boolean variables $\text{A, B and C}$ when expressed as sum of products is given by$$F=\overline{A}\:.\overline{B}\:.\overline{C}...
gatecse
1.6k
points
448
views
gatecse
asked
Feb 19, 2018
Digital Circuits
gate2018-ec
digital-circuits
boolean-algebra
+
–
0
votes
0
answers
8
GATE ECE 2017 Set 1 | Question: 43
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 $m_{0},m_{2},m_{3}$ and $m_{5}$ are minterms corresponding to the inputs $A,B$ and $C$ with $A$ as the $MSB$ and ... $\overline{A} BC+\overline{A} \: \overline{C}+A \overline{B}C$
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 $m_{0},m_{2},m_{3}$ and $m_{5}$ are...
admin
46.4k
points
106
views
admin
asked
Nov 17, 2017
Digital Circuits
gate2017-ec-1
digital-circuits
boolean-algebra
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