Answer
See the explanation
Work Step by Step
To draw the parse tree based on the syntax diagrams in Figure 6.15, you would follow the order of operations defined in the syntax diagrams. The expression given is:
\[ a \div d \times b \div c + a \div d \times b \div c \]
Here's a step-by-step guide to constructing the parse tree:
1. Start by identifying the highest precedence operation, which is multiplication/division. Since both have the same precedence, you would follow the left-to-right rule.
2. The expression involves division and multiplication, so you would start by parsing \( a \div d \times b \div c \) and \( a \div d \times b \div c \) separately.
3. For each of these subexpressions, you would further break them down into their constituent parts according to the syntax diagrams.
4. Once you reach the atomic elements (variables or constants), you would represent them as leaf nodes in the parse tree.
5. Connect the nodes according to the operations, ensuring that the higher precedence operations are higher in the tree.
