1
GATE CSE 2016 Set 1
Numerical
+1
-0
The $$16$$-bit $$2’s$$ complement representation of an integer is $$1111$$ $$1111$$ $$1111$$ $$0101;$$ its decimal representation is ____________.
Your input ____
2
GATE CSE 2016 Set 1
MCQ (Single Correct Answer)
+2
-0.6
Consider a carry lookahead adder for adding two $$n$$-bit integers, built using gates of fan-in at most two. The time to perform addition using this adder is
A
$$\Theta \left( 1 \right)$$
B
$$\Theta \left( {\log \left( n \right)} \right)$$
C
$$\Theta \left( {\sqrt n } \right)$$
D
$$\Theta \left( n \right)$$
3
GATE CSE 2016 Set 1
MCQ (Single Correct Answer)
+2
-0.6
Consider the two cascaded $$2$$-to-$$1$$ multiplexers as shown in the figure. GATE CSE 2016 Set 1 Digital Logic - Combinational Circuits Question 4 English

The minimal sum of products form of the output $$X$$ is

A
$$\overline P \overline Q + PQR$$
B
$$\overline P Q + QR$$
C
$$PQ + \overline P \overline Q R$$
D
$$\overline Q \overline R + PQR$$
4
GATE CSE 2016 Set 1
Numerical
+1
-0
Two eigenvalues of a $$3 \times 3$$ real matrix $$P$$ are $$\left( {2 + \sqrt { - 1} } \right)$$ and $$3.$$ The determinant of $$P$$ is _______.
Your input ____
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