Theory of Computation
Finite Automata and Regular Language
Marks 1Marks 2Marks 5
Push Down Automata and Context Free Language
Marks 1Marks 2
Undecidability
Marks 1Marks 2
Recursively Enumerable Language and Turing Machine
Marks 1Marks 2
1
GATE CSE 1998
MCQ (Single Correct Answer)
+1
-0.3
Which of the following sets can be recognized by a Deterministic Finite-state Automation?
A
The numbers $$1, 2, 4, 8, $$ ...... $${2^n},$$ ............. written in binary.
B
The numbers $$1, 2, 4, ..... $$ $${2^n},$$ $$.....$$ written in unary.
C
The set of binary strings in which the numbers of zeros is the same as the numbers of ones.
D
The set $$\left\{ {1,101,11011,1110111,...} \right\}.$$
2
GATE CSE 1998
MCQ (More than One Correct Answer)
+1
-0
The string $$1101$$ does not belong to the set represented by
A
$${110^ * }\,\,\left( {0 + 1} \right)$$
B
$$\,1\,{\left( {0 + 1} \right)^ * }101$$
C
$${\left( {10} \right)^ * }\,{\left( {01} \right)^ * }\,{\left( {00 + 11} \right)^ * }$$
D
$${\left( {00 + {{\left( {11} \right)}^ * }0} \right)^ * }$$
3
GATE CSE 1997
MCQ (Single Correct Answer)
+1
-0.3
$$\sum { = \left\{ {a,b} \right\},\,\,} $$ which one of the following sets is not countable.
A
Set of all strings over $$\sum {} $$
B
Set of all languages over $$\sum {} $$
C
Set of all regular languages over $$\sum {} $$
D
Set of all languages over $$\sum {} $$ accepted by Turing Machines.
4
GATE CSE 1996
MCQ (Single Correct Answer)
+1
-0.3
Let $$L \subseteq \sum {^{^ * }\,} $$ where $$\,\sum { = \,\,\left\{ {a,b} \right\}\,\,} $$ which of the following is true?
A
$$L = \,\,\,\left\{ {\left. x \right|\,\,\,x} \right.$$ has an equal number of $$a's$$ and $$\,\left. {b's} \right\}$$ is regular
B
$$L = \left\{ {{a^n}{b^n}\left| {n \ge 1} \right.} \right\}$$ is regular
C
$$L = \,\,\,\left\{ {\left. x \right|\,\,\,x} \right.\,$$ has more $$a's$$ than $$\left. {b's} \right\}$$ is regular
D
$$L = \left\{ {{a^m}{b^n}\left| {m \ge 1,\,n \ge 1} \right.} \right\}$$ is regular
GATE CSE Subjects
Theory of Computation
Operating Systems
Algorithms
Digital Logic
Database Management System
Data Structures
Computer Networks
Software Engineering
Compiler Design
Web Technologies
General Aptitude
Discrete Mathematics
Programming Languages
Computer Organization