Monday, September 8, 2008

[OneStopGATE] Digest Number 373

Messages In This Digest (4 Messages)

Messages

1a.

List of GATE Coaching Centers throughout India exclusively from OneS

Posted by: "sharmishtha_mittal" sharmishtha_mittal@yahoo.in   sharmishtha_mittal

Sun Sep 7, 2008 10:32 pm (PDT)

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2a.

Answer me questions related to Theory of Automata Question GATE-CS

Posted by: "shantanu sharma" to_shantanusharma@yahoo.com   to_shantanusharma

Sun Sep 7, 2008 11:44 pm (PDT)

Please give me answer the following questions (Theory of Automata) with proper explanation as soon as possible.

Q1) -� the following grammar will generate:
� � � � � � � � � � � S� SS
� � � � � � � � � � � S� 0S1
� � � � � � � � � � � S� 1S0
� � � � � � � � � � � S� empty
a)� � � � � regular language
b)� � � � � context free
c)� � � � � context sensitive
d)� � � � � recursive enumerable

Q2) – consider the regular expression (0+1) (0+1) (0+1) (0+1)…………………n times. The minimum state automata that recognize the language by this RE contain:
a)� � � � � n states
b)� � � � � n+1 states
c)� � � � � n+2 states
d)� � � � � none of these

Q3) – a grammar that is both left and right recursive for non terminal is
a)� � � � � ambiguous
b)� � � � � unambiguous
c)� � � � � information is not sufficient
d)� � � � � none of these

Q4) – which of the following can be recognized by DFA?
a)� � � � � the numbers, 1,2,3………….written in binary.
b)� � � � � the numbers, 1,2,3………….written in unbinary.
c)� � � � � The set of binary string in which the number of 0 is the same as number of 1
d)� � � � � The set {1, 101, 11011, 1110111 ………….}

Q5) – let ∑ = {0,1}, L= ∑* and R= {0^n1^n : n>0} then L union R and R are
a)� � � � � regular, non regular
b)� � � � � non regular, non regular

Q6) – which of the following CFG can not be simulated by FSM
a)� � � � � S� Sa | a
b)� � � � � S� abX, X� cY, Y� a | aX
c)� � � � � None of them

Q7) – which of the following pairs or RE are equivalent?
a)� � � � � 1(01)* and (10)*1
b)� � � � � x(xx)* and (xx)*x
c)� � � � � x+ and x*x+
d)� � � � � all of these

Q8) – a total recursive function is also a
a)� � � � � partial recursive function
b)� � � � � primitive recursive function
c)� � � � � both a & b
d)� � � � � none of these

Q9) – (i)� the task of lexical analyzer is to translate the input source language text into tokens and determine how group of tokens are inter related
� � � � � � � � � � � (ii) two basic approaches to translation are generation and interpretation.
� � � � � � � � � � � (iii) a load and go compiler is capable of translating the source language text on a host machine A that can be later run on any target machine B.
Which of following is true?
a)� � � � � all
b)� � � � � (i) & (iii)
c)� � � � � (i)
d)� � � � � Only (iii) is false


Q10) – if w € (a, b)* satisfy abw = wab then (w) is
a)� � � � � even
b)� � � � � odd
c)� � � � � null
d)� � � � � none of these

Q11) – what is the highest type of following grammar
S� Aa, A� Ba, B� abc
a)� � � � � type 0
b)� � � � � type 1
c)� � � � � type 2
d)� � � � � type 3



And also explain LR(0) and LR(1) grammar in detail.


Please give me answer the following questions (Theory of Automata) with proper explanation as soon as possible.

Q1) -� the following grammar will generate:
� � � � � � � � � � � S� SS
� � � � � � � � � � � S� 0S1
� � � � � � � � � � � S� 1S0
� � � � � � � � � � � S� empty
a)� � � � � regular language
b)� � � � � context free
c)� � � � � context sensitive
d)� � � � � recursive enumerable

Q2) – consider the regular expression (0+1) (0+1) (0+1) (0+1)…………………n times. The minimum state automata that recognize the language by this RE contain:
a)� � � � � n states
b)� � � � � n+1 states
c)� � � � � n+2 states
d)� � � � � none of these

Q3) – a grammar that is both left and right recursive for non terminal is
a)� � � � � ambiguous
b)� � � � � unambiguous
c)� � � � � information is not sufficient
d)� � � � � none of these

Q4) – which of the following can be recognized by DFA?
a)� � � � � the numbers, 1,2,3………….written in binary.
b)� � � � � the numbers, 1,2,3………….written in unbinary.
c)� � � � � The set of binary string in which the number of 0 is the same as number of 1
d)� � � � � The set {1, 101, 11011, 1110111 ………….}

Q5) – let ∑ = {0,1}, L= ∑* and R= {0^n1^n : n>0} then L union R and R are
a)� � � � � regular, non regular
b)� � � � � non regular, non regular

Q6) – which of the following CFG can not be simulated by FSM
a)� � � � � S� Sa | a
b)� � � � � S� abX, X� cY, Y� a | aX
c)� � � � � None of them

Q7) – which of the following pairs or RE are equivalent?
a)� � � � � 1(01)* and (10)*1
b)� � � � � x(xx)* and (xx)*x
c)� � � � � x+ and x*x+
d)� � � � � all of these

Q8) – a total recursive function is also a
a)� � � � � partial recursive function
b)� � � � � primitive recursive function
c)� � � � � both a & b
d)� � � � � none of these

Q9) – (i)� the task of lexical analyzer is to translate the input source language text into tokens and determine how group of tokens are inter related
� � � � � � � � � � � (ii) two basic approaches to translation are generation and interpretation.
� � � � � � � � � � � (iii) a load and go compiler is capable of translating the source language text on a host machine A that can be later run on any target machine B.
Which of following is true?
a)� � � � � all
b)� � � � � (i) & (iii)
c)� � � � � (i)
d)� � � � � Only (iii) is false


Q10) – if w € (a, b)* satisfy abw = wab then (w) is
a)� � � � � even
b)� � � � � odd
c)� � � � � null
d)� � � � � none of these

Q11) – what is the highest type of following grammar
S� Aa, A� Ba, B� abc
a)� � � � � type 0
b)� � � � � type 1
c)� � � � � type 2
d)� � � � � type 3



And also explain LR(0) and LR(1) grammar in detail.



SHANTANU,_._,___

3a.

All about CEED Exam - Program Details, Eligibility, Sample Papers et

Posted by: "sharmishtha_mittal" sharmishtha_mittal@yahoo.in   sharmishtha_mittal

Mon Sep 8, 2008 6:05 am (PDT)

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