Computer Science – 16.2 Translation Software | e-Consult
16.2 Translation Software (1 questions)
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Answer:
We can represent the expression 'a + b * c' using BNF as follows:
BNF Grammar for Simple Arithmetic Expressions |
Definitions:
- Expression ::= Term | Expression + Term
- Term ::= Factor | Term * Factor
- Factor ::= a | b | c
Explanation:
- Expression: An expression can be either a term or an expression plus a term. This allows for addition of multiple terms.
- Term: A term can be a factor or a term multiplied by a factor. This allows for multiplication of multiple factors.
- Factor: A factor can be one of the variables 'a', 'b', or 'c'. These are the basic building blocks of the expression.
This grammar defines a context-free grammar, meaning that the production rules can be applied repeatedly to generate valid expressions. The rules specify how terms and factors can be combined to form more complex expressions.