1
GATE CSE 2001
MCQ (Single Correct Answer)
+2
-0.6
$$R(A,B,C,D)$$ is a relation. Which of the following does not have a lossless-join, dependency preserving $$BCNF$$ decomposition?
A
$$A \to B,\,B \to CD$$
B
$$A \to B,\,B \to C.\,C \to D$$
C
$$AB \to C,\,C \to AD$$
D
$$A \to BCD$$
2
GATE CSE 2001
MCQ (Single Correct Answer)
+2
-0.6
Which of the following relational calculus expressions is not safe?
A
$$\left\{t \mid \exists u \in R_1\left(t[A] = u[A]\right) \land \neg \exists s \in R_2 \left(t[A] = s[A]\right)\right\}$$
B
$$\left\{ t \mid \forall u \in R_1\left(u[A]="x"\Rightarrow \exists s \in R_2\left(t[A] = s[A] \land s[A] = u[A]\right)\right) \right\}$$
C
$$\left\{t \mid \neg (t \in R_1)\right\}$$
D
$$\left\{t \mid \exists u \in R_1\left(t[A]=u[A]\right) \land \exists s \in R_2 \left(t[A] = s[A]\right)\right\}$$
3
GATE CSE 2001
MCQ (Single Correct Answer)
+2
-0.6
The $$2's$$ complement representation of $${\left( { - 539} \right)_{10}}$$ in hexadecimal is
A
$$ABE$$
B
$$DBC$$
C
$$DE5$$
D
$$9E7$$
4
GATE CSE 2001
MCQ (Single Correct Answer)
+1
-0.3
Given the following Karnaugh map, which one of the following represents the minimal Sum-Of-Products of the map? GATE CSE 2001 Digital Logic - K Maps Question 12 English
A
$$xy + y'z$$
B
$$wx'y' + xy + xz$$
C
$$w'x + y'z + xy$$
D
$$xz+y$$
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