Computer Science, asked by danis794, 1 day ago

Provide an NFA with almost six states for the following language
L={w/w contains an even number of 0’s or exactly 1’s

Answers

Answered by anjalitripathi4125
0

Here is an NFA (Non-Deterministic Finite Automaton) with six states that recognizes the language L = {w | w contains an even number of 0s, or exactly two 1s}:

State: q0

Transitions:

On input symbol 0: Transition to q1

On input symbol 1: Transition to q2

State: q1

Transitions:

On input symbol 0: Transition to q0

On input symbol 1: Transition to q3

State: q2

Transitions:

On input symbol 0: Transition to q2

On input symbol 1: Transition to q4

State: q3

Transitions:

On input symbol 0: Transition to q3

On input symbol 1: Transition to q5

State: q4

Transitions:

On input symbol 0: Transition to q4

On input symbol 1: Transition to q5

State: q5

Transitions:

On input symbol 0: Transition to q5

On input symbol 1: Transition to q5

State q0 is the initial state, and q5 is the only accepting (final) state.

This NFA will accept strings where the number of 0s is even or there are exactly two 1s. States q1 and q4 are intermediate states used to keep track of the number of 0s encountered.

States q2, q3, and q5 are used to account for the condition of exactly two 1s.

Please note that this NFA has exactly six states, as requested.

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