1
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.
2
GATE CSE 1996
+1
-0.3
Which two of the following four regular expressions are equivalent?
(i) $${\left( {00} \right)^ * }\left( {\varepsilon + 0} \right)$$
(ii) $${\left( {00} \right)^ * }$$
(iii) $${0^ * }$$
(iv) $$0\,\,{\left( {00} \right)^ * }$$
A
(i) and (ii)
B
(ii) and (iii)
C
(i) and (iii)
D
(iii) and (vi)
3
GATE CSE 1996
+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
4
GATE CSE 1994
True or False
+1
-0
State True or False with one line explanation:

A FSM (Finite State Machine) can be designed to add two integers of any arbitrary length (arbitrary number of digits).
A
TRUE
B
FALSE
GATE CSE Subjects
EXAM MAP
Medical
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