Question

"The following grammar generates the language of regular expression : 0*1 (0+1) :

S ---> A1B
A ---> 0A |
B ---> 0B | 1B
For the string 010101, give the leftmost derivation and parse tree.
a) 00101 .
b) 1001 .
c) 00011 .

Answer 1

The given grammar generates the language of the regular expression 0*1(0+1). To find the leftmost derivation and parse tree for the string 010101. The correct answer is A.

Step-by-step explanation:

The given grammar generates the language of the regular expression 0*1(0+1). To find the leftmost derivation and parse tree for the string 010101, we start with the start symbol S and apply the production rules.

Leftmost derivation:

1. S → A1BA
2. A1BA → 0A1BA → 01BA → 010A → 0101B → 01010

Parse tree:

The question involves finding the leftmost derivation and creating a parse tree for the string 010101 using a specific grammar. The leftmost derivation steps are provided, and the parse tree structure is described in terms of progressively expanding non-terminals from the start symbol.

The question is about finding the leftmost derivation and parse tree for the string 010101 based on the given grammar that defines a regular expression. The grammar is as follows:

S → A1B

A → 0A | ε

B → 0B | 1B | ε

In leftmost derivation, you always expand the leftmost non-terminal symbol first. Here is the leftmost derivation for the string 010101:

S → A1B

→ 0A1B

→ 01A1B

→ 010A1B

→ 01011B

→ 010101

For creating a parse tree, each step in the derivation corresponds to a level in the tree, starting with the start symbol S at the root. Each expansion of a non-terminal results in a node for that non-terminal with children for the symbols it is expanded into. In this specific case, the parse tree would start with S, branching to A, 1, and B, followed by the subsequent productions.