1
GATE CSE 2004
MCQ (Single Correct Answer)
+2
-0.6
Which are the essential prime implicants of the following Boolean function? $$F\left( {a,b,c} \right) = {a^1}c + a{c^1} + {b^1}c$$
A
$$a'c$$ and $$ac'$$
B
$$a'c$$ and $$b'c$$
C
$$a'c$$ only
D
$$ac'$$ and $$bc'$$
2
GATE CSE 2004
MCQ (Single Correct Answer)
+1
-0.3
The Boolean function $$x'y' +xy +x'y$$ is equivalent to
A
$$x'+y'$$
B
$$x+y$$
C
$$x+y'$$
D
$$x'+y$$
3
GATE CSE 2004
MCQ (Single Correct Answer)
+2
-0.6
Let $$A=1111$$ $$1010$$ and $$B=0000$$ $$1010$$ be two $$8$$-bit $$2's$$ complement numbers. Their product in $$2's$$ complement is
A
$$1100$$ $$0100$$
B
$$1001$$ $$1100$$
C
$$1010$$ $$0101$$
D
$$1101$$ $$0101$$
4
GATE CSE 2004
MCQ (Single Correct Answer)
+1
-0.3
$${73_x}$$ (in base $$-$$ $$x$$ number system) is equal to $${54_y}$$ (in base $$-y$$ number system), the possible values of $$x$$ and $$y$$ are
A
$$8,$$ $$16$$
B
$$10,$$ $$12$$
C
$$9,$$ $$13$$
D
$$8,$$ $$11$$
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