GATE CSE 1998 | Finite Automata and Regular Language Question 94 | Theory of Computation

GATE CSE 1998

MCQ (Single Correct Answer)

-0.3

If the regular set $$A$$ is represented by $$A = {\left( {01 + 1} \right)^ * }$$ and the regular set $$'B'$$ is represented by $$B = \left( {{{\left( {01} \right)}^ * }{1^ * }} \right),$$ which of the following is true?

$$A \subset B$$

$$B \subset A$$

$$A$$ and $$B$$ are incomparable

$$A=B$$

GATE CSE 1998

MCQ (Single Correct Answer)

-0.3

How many substrings of different lengths (non-zero) can be formed from a character string of length $$n$$ ?

$$n$$

$${n^2}$$

$${2^n}$$

$$n\left( {n + 1} \right)/2$$

GATE CSE 1998

MCQ (More than One Correct Answer)

-0

The string $$1101$$ does not belong to the set represented by

$${110^ * }\,\,\left( {0 + 1} \right)$$

$$\,1\,{\left( {0 + 1} \right)^ * }101$$

$${\left( {10} \right)^ * }\,{\left( {01} \right)^ * }\,{\left( {00 + 11} \right)^ * }$$

$${\left( {00 + {{\left( {11} \right)}^ * }0} \right)^ * }$$

GATE CSE 1997

MCQ (Single Correct Answer)

-0.3

$$\sum { = \left\{ {a,b} \right\},\,\,} $$ which one of the following sets is not countable.

Set of all strings over $$\sum {} $$

Set of all languages over $$\sum {} $$

Set of all regular languages over $$\sum {} $$

Set of all languages over $$\sum {} $$ accepted by Turing Machines.

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Theory of Computation

Finite Automata and Regular Language Push Down Automata and Context Free Language Undecidability Recursively Enumerable Language and Turing Machine

Operating Systems

Process Concepts and Cpu Scheduling Synchronization and Concurrency Deadlocks Memory Management File System IO and Protection

Algorithms

Greedy Method Complexity Analysis and Asymptotic Notations Dynamic Programming Divide and Conquer Method Searching and Sorting P and NP Concepts

Digital Logic

Boolean Algebra K Maps Combinational Circuits Number Systems Sequential Circuits

Database Management System

Er Diagrams Functional Dependencies and Normalization Structured Query Language Relational Algebra Transactions and Concurrency File Structures and Indexing

Data Structures

Arrays Stacks and Queues Linked List Trees Graphs Hashing

Computer Networks

Concepts of Layering Data Link Layer and Switching Network Layer Application Layer Protocol Routing Algorithm TCP UDP Sockets and Congestion Control Lan Technologies and Wi-Fi Network Security

Software Engineering

Compiler Design

Lexical Analysis Parsing Syntax Directed Translation Code Generation and Optimization

Web Technologies

General Aptitude

Verbal Ability Logical Reasoning Numerical Ability

Discrete Mathematics

Set Theory & Algebra Linear Algebra Graph Theory Combinatorics Mathematical Logic Probability Calculus

Programming Languages

Function and Recursion Basic of Programming Language Pointer and Structure in C

Computer Organization

Computer Arithmetic Pipelining Machine Instructions and Addressing Modes Memory Interfacing IO Interface Alu Data Path and Control Unit Secondary Memory