1
GATE CSE 2000
MCQ (Single Correct Answer)
+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
$$1000$$
2
GATE CSE 2000
MCQ (Single Correct Answer)
+2
-0.6
Which function does NOT implement the Karnaugh map given below? GATE CSE 2000 Digital Logic - K Maps Question 7 English
A
$$(w+x)y$$
B
$$x\,y + y\,w$$
C
$$\left( {w + x} \right)\,\,\left( {\overline w + y} \right)\left( {\overline x + y} \right)$$
D
None of the above
3
GATE CSE 2000
MCQ (Single Correct Answer)
+2
-0.6
A relation R is defined on the set of integers as zRy if f (x + y) is even. Which of the following statements is true?
A
R is not an equivalence relation
B
R is an equivalence relation having 1 equivalence class
C
R is an equivalence relation having 2 equivalence classes
D
R is an equivalence relation having 3 equivalence classes
4
GATE CSE 2000
MCQ (Single Correct Answer)
+2
-0.6
Let P(S) denote the power set of a set S. Which of the following is always true?
A
$$P\,(P(S))\, = P\,(S)$$
B
$$P\,(S)\, \cap \,P\,(P\,(S)) = \{ \emptyset \} $$
C
$$P\,(S)\,\, \cap \,\,S = P\,(S)$$
D
$$S\,\, \notin \,P(S)$$
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