1
GATE CSE 2015 Set 1
MCQ (Single Correct Answer)
+1
-0.3
Consider a 4-bit Johnson counter with an initial value of 0000. The counting sequence of this counter is
A
0, 1, 3, 7, 15, 14, 12, 8, 0
B
0, 1, 3, 5, 7, 9, 11, 13, 15, 0
C
0, 2, 4, 6, 8, 10, 12, 14, 0
D
0, 8, 12, 14, 15, 7, 3, 1, 0
2
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
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
A positive edge-triggered D flip-flop is connected to a positive edge-triggered JK flip-flop as follows. The Q output of the D flip-flop is connected to both the J and K inputs of the JK flip-flop, while the Q output of the JK flip-flop is connected to the input of the D flip-flop. Initially, the output of the D flip-flop is set to logic one and the output of the JK flip-flop is cleared. Which one of the following is the bit sequence (including the initial state) generated at the Q output of the JK flip-flop when the flip-flops are connected to a free-running common clock? Assume that J = K = 1 is the toggle mode and J = K = 0 is the state-holding mode of the JK flip-flop. Both the flip-flops have non-zero propagation delays.
A
0110110...
B
0100100...
C
011101110...
D
011001100...
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