Theory of Computation


Q101.

Consider the DFAs M and N given above. The number of states in a minimal DFA that accepts the language L(M)\cap L(N) is___________
GateOverflow

Q102.

The number of states in the minimal deterministic finite automaton corresponding to the regular expression (0+1)*(10) is __________.
GateOverflow

Q103.

The following Finite Automaton recognizes which of the given languages?
GateOverflow

Q104.

How many states are there in a minimum state deterministic finite automaton accepting the language L=\left\{w \mid w \in\{0,1\}^{*}\right., number of 0's is divisible by 2 and number of 1's is divisible by 5, respectively }?
GateOverflow

Q105.

The number of states required by a Finite State Machine,to simulate the behavior of a computer with a memory capable of storing 'm' words, each of length 'n' bits is?
GateOverflow

Q106.

Which of the regular expressions given below represent the following DFA? I) 0*1(1+00*1)* II) 0*1*1+11*0*1 III) (0+1)*1
GateOverflow

Q107.

Consider the finite automaton in the following figure. What is the set of reachable states for the input string 0011?
GateOverflow

Q108.

What are the final states of the DFA generated from the following NFA?
GateOverflow

Q109.

What is the complement of the language accepted by the NFA shown below? Assume \sum={a} and \varepsilon is the empty string.
GateOverflow

Q110.

Consider the DFA A given below. Which of the following are FALSE? 1. Complement of L(A) is context-free. 2. L(A) = L((11*0+0) (0+1)*0*1*) 3. For the language accepted by A, A is the minimal DFA. 4. A accepts all strings over {0, 1} of length at least 2.
GateOverflow