Question: Grammars provide a formalism to express the syntax of programming languages. A derivation is a repeated application of rules, starting with the start symbol and

Grammars provide a formalism to express the syntax of programming languages. A derivation is a repeated application of rules, starting with the start symbol and ending with a sentence (all terminal symbols). A parse tree is a hierarchical representation of a derivation.

(a) Construct a grammar that can be used to express the simple statement of A = B + C * A

(5 marks)

(b) Applying the constructed grammar above, define and present the simple statement of A = B + C * A using:

i. Derivation

(10 marks)

ii. Parse Tree

(10 marks)

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