1
GATE CSE 2015 Set 2
Numerical
+2
-0
A half adder is implemented with $$XOR$$ and $$AND$$ gates. A full adder is implemented with two half adders and one $$OR$$ gate. The propagation delay of an $$XOR$$ gate is twice that of an $$AND/OR$$ gate. The propagation delay of an $$AND/OR$$ gate is $$1.2$$ microseconds. A $$4$$-bit ripple-carry binary adder is implemented by using four full adders. The total propagation time of this $$4$$-bit binary adder in microseconds is____________ .
Your input ____
2
GATE CSE 2015 Set 2
Numerical
+2
-0
The number of min-terms after minimizing the following Boolean expression is _______________ . $$$\left[ {D' + AB' + A'C + AC'D + A'C'D} \right]'$$$
Your input ____
3
GATE CSE 2015 Set 1
MCQ (Single Correct Answer)
+2
-0.6

Consider the operations

$$f\left( {x,y,z} \right) = X'YZ + XY' + Y'Z'$$ and
$$g\left( {x,y,z} \right) = X'YZ + X'YZ' + XY$$.

Which one of the following is correct?

A
Both $$\left\{ f \right\}$$ and $$\left\{ g \right\}$$ are functionally complete
B
Only $$\left\{ f \right\}$$ is functionally complete
C
Only $$\left\{ g \right\}$$ is functionally complete
D
Neither $$\left\{ f \right\}$$ nor $$\left\{ g \right\}$$ is functionally complete
4
GATE CSE 2015 Set 1
MCQ (Single Correct Answer)
+2
-0.6

The binary operator $$ \ne $$ is defined by the following truth table.

p q p$$ \ne $$q
0 0 0
0 1 1
1 0 1
1 1 0

Which one of the following is true about the binary operator $$ \ne $$?

A
Both commutative and associative
B
Commutative but not associative
C
Not commutative but associative
D
Neither commutative nor associative
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