1
GATE CSE 1996
MCQ (Single Correct Answer)
+2
-0.6
Consider the circuit in fig shown $$f$$ implements GATE CSE 1996 Digital Logic - Combinational Circuits Question 8 English
A
$$\overline A \overline B C + \overline A B\overline C + ABC$$
B
$$A+B+C$$
C
$$A \oplus B \oplus C$$
D
$$AB + BC + CA$$
2
GATE CSE 1996
Subjective
+5
-0
Consider the synchronous sequential circuit in fig. GATE CSE 1996 Digital Logic - Sequential Circuits Question 8 English 1

(a) Draw a state diagram which is implemented by the circuit. Use the following names for the states corresponding to the values of flip-flops as given below.

GATE CSE 1996 Digital Logic - Sequential Circuits Question 8 English 2

(b) Given that the initial state of the circuit is $${S_4},$$ identify the set of states which are not reachable.

3
GATE CSE 1996
MCQ (Single Correct Answer)
+2
-0.6
Which one of the following is false? Read $$ \wedge $$ as AND, $$ \vee $$ as OR, $$ \sim $$ as NOT, $$ \to $$ as one way implication and $$ \leftrightarrow $$ two way implication.
A
$$\left( {\left( {x \to y} \right) \wedge x} \right) \to y$$
B
$$\left( {\left( { \sim x \to y} \right) \wedge \left( { \sim x \to \sim y} \right)} \right) \to x$$
C
$$\left( {x \to \left( {x \vee y} \right)} \right)$$
D
$$\left( {\left( {x \vee y} \right) \leftrightarrow \left( { \sim x \to \sim y} \right)} \right)$$
4
GATE CSE 1996
MCQ (Single Correct Answer)
+1
-0.3
Two dice are thrown simultaneously. The probability that at least one of them will have 6 facing up is
A
$${1 \over {36}}$$
B
$${1 \over {3}}$$
C
$${25 \over {36}}$$
D
$${11\over {36}}$$
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