1
GATE CSE 2002
+2
-0.6
$$f\left( {A,B} \right) = A' + B$$ Simplified expression for function $$f((x+y,y),z)$$ is
A
$$(x'+z)$$
B
$$x\,y\,z$$
C
$$xy' + \,z$$
D
None of the above
2
GATE CSE 2000
+2
-0.6
The simultaneous equations on the Boolean variables $$x, y, z$$ and $$w,$$ $$x+y+z=1$$$$$xy=0$$$ $$xz+w=1$$$$$xy + \overline z \overline w = 0$$$
have the following for $$x, y, z$$ and $$w,$$ respectively.
A
$$0100$$
B
$$1101$$
C
$$1011$$
D
$$1000$$
3
GATE CSE 1999
MCQ (More than One Correct Answer)
+2
-0.6
Which of the following sets of component(s) is/are sufficient to implement any arbitrary Boolean function?
A
$$XOR$$ gates, $$NOT$$ gates
B
$$2$$ to $$1$$ multiplexers
C
$$AND$$ gates, $$XOR$$ gates
D
Three-input gates that output $$(A.B) + C$$ for the inputs $$A. B$$ and $$C.$$
4
GATE CSE 1997
+2
-0.6
Let $$f\left( {x,y,z} \right) = \overline x + \overline y x + xz$$ be a switching function. Which one of the following is valid?
A
$$\overline y x$$ is a prime implicates of $$f$$
B
$$xz$$ is a minters of $$f$$
C
$$xz$$ is an implicant of $$f$$
D
y is a prime applicant of $$f$$
GATE CSE Subjects
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