Question

Use the following CFG to generate the string 0000#1111 and draw

the derivation tree.
A → 0A1
A → B
B → #

Answer 1

To generate the string 0000#1111 from the given CFG, you need to apply the productions in the correct order. The derivation tree for the string is also provided.

Step-by-step explanation:

The given context-free grammar (CFG) is:

A → 0A1A
A → BB
B → #

To generate the string 0000#1111, we can start with the productions:

A → 0A1A
A → BB

Applying the first production, we get:

0A1A → 00A1A1A

Then, applying the second production:

00A1A1A → 00BB1A1A → 00#1A1A

Finally, applying the production A → BB:

00#1A1A → 00#1BB1A → 0000#1111

The derivation tree for the string 0000#1111 is shown below: