1
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
$$\left\{t \mid \exists u \in R_1\left(t[A]=u[A]\right) \land \exists s \in R_2 \left(t[A] = s[A]\right)\right\}$$
2
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
$$9E7$$
3
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
$$xz+y$$
4
GATE CSE 2001
MCQ (Single Correct Answer)
+2
-0.6
Consider the circuit shown below. The output of a $$2:1$$ Mux is given by the function $$(ac+bc)$$ GATE CSE 2001 Digital Logic - Combinational Circuits Question 13 English

Which of the following is true?

A
$$f = x_1^1 + {x_2}$$
B
$$f = x_1^{\,1} + {x_2} + {x_1}x_2^{\,1}$$
C
$$f = {x_1}{x_2} + {x_1}^1{x_2}^1$$
D
$$f = {x_1} + x_2^1$$
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