1
GATE CSE 2013
MCQ (Single Correct Answer)
+2
-0.6
Relation $$R$$ has eight attribution $$ABCDEFGH.$$ Fields of $$R$$ contain only atomic values.
$$F = \left\{ {CH \to G,\,\,A \to BC,\,B \to CFH,\,\,E \to A,\,\,F \to EG} \right\}$$ set of functional dependencies $$(FDs)$$ so that $${F^ + }$$ is exactly the set of $$FDs$$ that hold for $$R.$$

The relation $$R$$ is

A
in $$1NF,$$ but not in $$2NF.$$
B
in $$2NF,$$ but not in $$3NF.$$
C
in $$3NF,$$ but not in $$BCNF$$
D
in $$BCNF.$$
2
GATE CSE 2013
MCQ (Single Correct Answer)
+1
-0.3
In the following truth table $$V=1$$ if and only if the input is valid. GATE CSE 2013 Digital Logic - Combinational Circuits Question 17 English

What function does the truth table represent?

A
Priority encoder
B
Decoder
C
Multiplexer
D
Demultiplexer
3
GATE CSE 2013
MCQ (Single Correct Answer)
+1
-0.3
The smallest integer that can be represented by an $$8$$-bit number in $$2's$$ complement form is
A
$$-256$$
B
$$-128$$
C
$$-127$$
D
$$0$$
4
GATE CSE 2013
MCQ (Single Correct Answer)
+1
-0.3
Which one of the following expressions does NOT represent exclusive NOR of $$x$$ and $$y?$$
A
$$xy+x'y'$$
B
$$x \otimes y'$$
C
$$x' \otimes y$$
D
$$x' \otimes y'$$
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