1
GATE CSE 2006
MCQ (Single Correct Answer)
+2
-0.6
Consider the circuit above. Which one of the following options correctly represents $$f(x,y,z)?$$ GATE CSE 2006 Digital Logic - Combinational Circuits Question 6 English
A
$$x\overline z + xy + \overline y z$$
B
$$x\overline z + xy + \overline {yz} $$
C
$$xz + xy + \overline {yz} $$
D
$$xz + x\overline y + \overline y z$$
2
GATE CSE 2006
MCQ (Single Correct Answer)
+1
-0.3
You are given a free running clock with a duty cycle of $$50$$% and a digital waveform $$f$$ which changes only at the negative edge of the clock. Which one of the following circuits (using clocked $$D$$ flip-flops) will delay the phase of $$f$$ by $${180^0}?$$
A
GATE CSE 2006 Digital Logic - Sequential Circuits Question 12 English Option 1
B
GATE CSE 2006 Digital Logic - Sequential Circuits Question 12 English Option 2
C
GATE CSE 2006 Digital Logic - Sequential Circuits Question 12 English Option 3
D
GATE CSE 2006 Digital Logic - Sequential Circuits Question 12 English Option 4
3
GATE CSE 2006
MCQ (Single Correct Answer)
+2
-0.6
Consider the circuit in the diagram. The $$ \oplus $$ operator represents $$EX$$-$$OR.$$ The $$D$$ flip-flops are initialized to zeros (cleared). GATE CSE 2006 Digital Logic - Sequential Circuits Question 10 English

The following data: $$100110000$$ is supplied to the ''data'' terminal in nine clock cycles. After that the values of $${q_2}{q_1}{q_0}$$ are

A
$$000$$
B
$$001$$
C
$$010$$
D
$$101$$
4
GATE CSE 2006
MCQ (Single Correct Answer)
+2
-0.6
Which one of the first order predicate calculus statements given below correctly expresses the following English statement?

Tigers and lion attack if they are hungry of threatened.

A
$$\forall x[(tiger(x) \wedge lion(x)) \to $$$$\{ (hungry(x) \vee threatened(x)) \to attacks(x)\} ]$$
B
$$\forall x[(tiger(x) \vee lion(x)) \to $$$$\{ (hungry(x) \wedge threatened(x)) \to attacks(x)\} ]$$
C
$$\forall x[(tiger(x) \vee lion(x)) \to $$$$\{ attacks(x) \to (hungry(x)) \vee threatened(x))\} ]$$
D
$$\forall x[(tiger(x) \vee lion(x)) \to $$$$\{ (hungry(x) \vee threatened(x)) \to attacks(x)\} ]$$
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