1
GATE CSE 1998
MCQ (More than One Correct Answer)
+1
-0.3
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
$${\left( {00 + {{\left( {11} \right)}^ * }0} \right)^ * }$$
2
GATE CSE 1998
+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 $$\left\{ {1,101,11011,1110111,...} \right\}.$$
3
GATE CSE 1998
+1
-0.3
How many substrings of different lengths (non-zero) can be formed from a character string of length $$n$$ ?
A
$$n$$
B
$${n^2}$$
C
$${2^n}$$
D
$$n\left( {n + 1} \right)/2$$
4
GATE CSE 1997
+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.
GATE CSE Subjects
Discrete Mathematics
Programming Languages
Theory of Computation
Operating Systems
Digital Logic
Computer Organization
Database Management System
Data Structures
Computer Networks
Algorithms
Compiler Design
Software Engineering
Web Technologies
General Aptitude
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