1
GATE ECE 2022
MCQ (More than One Correct Answer)
+1
-0.33

Select the Boolean function(s) equivalent to x + yz, where x, y, and z are Boolean variables, and + denotes logical OR operation.

A
x + z + xy
B
(x + y) (x + z)
C
x + xy + yz
D
x + xz + xy
2
GATE ECE 2018
+1
-0.33
A function F(A, B, C) defined by three Boolean variables A, B and C when expressed as sum of products is given by

F = $$\overline A .\overline B .\overline C + \overline A .B.\overline C + A.\overline B .\overline C$$

where, $$\overline A$$, $$\overline B$$, and $$\overline C$$ are the complements of the respective variables. The product of sums (POS) form of the function F is
A
F = (A + B + C)(A + $$\overline B$$ + C)($$\overline A$$ + B + C)
B
F = ($$\overline A$$ + $$\overline B$$ + $$\overline C$$)($$\overline A$$ + B + $$\overline C$$)(A + $$\overline B$$ + $$\overline C$$)
C
F = (A + B + $$\overline C$$)(A + $$\overline B$$ + $$\overline C$$)($$\overline A$$ + B + $$\overline C$$)($$\overline A$$ + $$\overline B$$ + C)($$\overline A$$ + $$\overline B$$ + $$\overline C$$)
D
F = ($$\overline A$$ + $$\overline B$$ + C)($$\overline A$$ + B + C)(A + $$\overline B$$ + C)(A + B + $$\overline C$$)(A + B + C)
3
GATE ECE 2014 Set 2
+1
-0.3
For an n - variable Boolean function maximum number of prime implicants is
A
2(n-1)
B
n/2
C
$${2^n}$$
D
2$$^{_{(n - 1)}}$$
4
GATE ECE 2014 Set 1
+1
-0.3
The Boolean expression (X+Y)(X+$$\overline Y$$)+($$\overline {(X\overline Y ) + \overline X }$$ simplifies to
A
X
B
Y
C
XY
D
X+Y
EXAM MAP
Medical
NEET