Convert the following regular expression into Non-Deterministic Finite Automata (NFAs), show all the steps.(a) (0 + 1)*000(0 + 1)*(b) (((00)*(11))+ 01)*

Sure, let's break down the process of converting the regular expressions into Non-Deterministic Finite Automata (NFAs).

(a) (0 + 1)000(0 + 1)

Step 1: Draw a start state.

Step 2: Draw an arrow from the start state to a new state. Label this arrow with "0 + 1" to represent the (0 + 1)* part of the regular expression. This means that from the start state, we can go to this new state with either a 0 or a 1.

Step 3: From this new state, draw three arrows, each leading to a new state, and each labeled with "0". This represents the "000" part of the regular expression.

Step 4: From the state reached after the "000", draw an arrow back to itself, labeled with "0 + 1". This represents the (0 + 1)* part of the regular expression, meaning that we can stay in this state with either a 0 or a 1.

Step 5: Mark the final state as an accept state.

(b) (((00)(11))+ 01)

Step 1: Draw a start state.

Step 2: Draw an arrow from the start state to a new state. Label this arrow with "00" to represent the (00)* part of the regular expression. This means that from the start state, we can go to this new state with a "00".

Step 3: From this new state, draw an arrow back to itself, labeled with "00". This represents the (00)* part of the regular expression, meaning that we can stay in this state with a "00".

Step 4: From the state reached after the (00)*, draw an arrow to a new state, labeled with "11". This represents the (11) part of the regular expression.

Step 5: From the state reached after the "11", draw an arrow back to the start state, labeled with "01". This represents the + 01 part of the regular expression, meaning that we can go back to the start state with a "01".

Step 6: Mark the start state as an accept state, because the entire regular expression is enclosed in *, meaning that it's acceptable to stay in the start state.

Please note that this is a textual representation of the process. The actual NFAs would be diagrams with states represented as circles and transitions as arrows between them.