Theory of Computation and Compilers - Syntax Analysis
- Option : B
- Explanation : 2nd production is T → T * U (left recursive) so * is left associative. Similarly P → Q + P (Right recursion) so + is right associative.
| List-I | List-II | ||
| A. | Lexical analysis | 1. | Graph coloring |
| B. | Parsing | 2. | DFA minimization |
| C. | Register allocation | 3. | Post-order traversal |
| D. | Expression evaluation | 4. | Production tree |
| A | B | C | D | |
| (a) | 2 | 3 | 1 | 4 |
| (b) | 2 | 1 | 4 | 3 |
| (c) | 2 | 4 | 1 | 3 |
| (d) | 2 | 3 | 4 | 1 |
- Option : C
- Explanation : The match are as follows Lexical analysis – DFA minimization Parsing – Production Tree Register allocation – Graph coloring expression evaluation – Post order traversal
- Option : C
- Explanation : left recursion: A → Aα/β After removing left recursion it can be written as A → βA’ A' → αA'/ε So apply above rule for Variable E and T resultant grammar is E → TX X → – TX|ε T → FY Y → +FY|ε F → (E) → id
- A
Equal precedence and left associativity; expression is evaluated to 7
- B
Equal precedence and right associativity; expression is evaluated to 9
- C
Precedence of 'x' is higher than that of '+', and both operators are left associative; expression is evaluated to 7
- D
Precedence of '+' is higher than that of 'x', and both operators are left associative; expression is evaluated to 9
- Option : C
- Explanation : With look ahead, we would prefer to shift because the look ahead has higher precedence than X over + and both operation are left associative. So expression 3 x 2 + 1 = 6 + 1 = 7 will be evaluated.
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