2) Construct a NfA that recognizes all binary strinys for which the number of zeros is divisible with four ad they start with 1.

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**Exercise: Constructing an NFA**

**Objective:** 

Build a Non-deterministic Finite Automaton (NFA) that recognizes all binary strings where:

1. The number of zeros is divisible by four.
2. The string starts with a '1'.

**Instructions:**

Design the states and transitions of the NFA to meet these criteria. The automaton should be able to track the count of zeros modulo four and ensure that every accepted string begins with '1'. The solution involves setting up states that capture the count of zeros and managing state transitions according to the input characters.

Consider using states to represent different remainders when the number of zeros is divided by four. Transitions should accommodate both '0' and '1' inputs, while also ensuring the starting condition.
Transcribed Image Text:**Exercise: Constructing an NFA** **Objective:** Build a Non-deterministic Finite Automaton (NFA) that recognizes all binary strings where: 1. The number of zeros is divisible by four. 2. The string starts with a '1'. **Instructions:** Design the states and transitions of the NFA to meet these criteria. The automaton should be able to track the count of zeros modulo four and ensure that every accepted string begins with '1'. The solution involves setting up states that capture the count of zeros and managing state transitions according to the input characters. Consider using states to represent different remainders when the number of zeros is divided by four. Transitions should accommodate both '0' and '1' inputs, while also ensuring the starting condition.
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