1
GATE CSE 2009
+1
-0.3
Which one of the following languages over the alphabet $$\left\{ {0,\left. 1 \right)} \right.$$ is described by the regular expression $${\left( {0 + 1} \right)^ * }0{\left( {0 + 1} \right)^ * }0{\left( {0 + 1} \right)^ * }$$
A
The set of all strings containing the substring $$00$$
B
The set of all strings containing at most two $$0’$$s
C
The set of all strings containing at least two $$0’$$s
D
The set of all strings that begin and end with either $$0$$ or $$1$$
2
GATE CSE 2003
+1
-0.3
The regular expression $${0^ * }\left( {{{10}^ * }} \right){}^ *$$denotes the same set as
A
$$\left( {{1^ * }0} \right){}^ * {1^ * }$$
B
$$0 + \left( {0 + 10} \right){}^ *$$
C
$$\left( {0 + 1} \right){}^ * 10\left( {0 + 1} \right){}^ *$$
D
None of the above.
3
GATE CSE 2003
+1
-0.3
Consider the set $$\sum {^ * }$$ of all strings over the alphabet $$\,\sum { = \,\,\,\left\{ {0,\,\,\,1} \right\}.\sum {^ * } }$$ with the concatenation operator for strings
A
Does not from a group
B
Forms a non-commutative group
C
Does not have a right identity element
D
Forms a group if the empty string is removed from $${\sum {^ * } }$$
4
GATE CSE 2001
+1
-0.3
Consider the following two statements;
$${S_1}\,\,:\,\,\left\{ {{0^{2n}}\left| {n \ge 1} \right.} \right\}$$ is a regular language
$${S_2}\,\,:\,\,\left\{ {{0^m}{1^n}{0^{m + n}}\left| {m \ge 1} \right.\,\,and\,\,n \ge \left. 1 \right\}} \right.$$ is a regular language

Which of the following statements is correct?

A
Only $${S_1}$$ is correct
B
Only $${S_2}$$ is correct
C
Both $${S_1}$$ and $${S_2}$$ are correct
D
None of $${S_1}$$ and $${S_2}$$ is correct
GATE CSE Subjects
EXAM MAP
Medical
NEET