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A directed acyclic graph represents one form of intermediate representation. The number of non terminals nodes in DAG of a = (b + c)*(b + c) expression is
- a)2
- b)3
- c)4
- d)5
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
A directed acyclic graph represents one form of intermediate represent...
Since indegree of node 3 is 1. So cannot start topological ordering with node 3 only start node will be 1.
Most Upvoted Answer
A directed acyclic graph represents one form of intermediate represent...
Explanation:
Given expression: a = (b + c)*(b + c)
Steps to create a DAG:
1. Break down the expression:
- (b + c) is a sub-expression that appears twice in the main expression. We can represent it as a single node in the DAG to avoid redundancy.
2. Create nodes for each unique sub-expression:
- Nodes for b and c since they are unique terminals.
- Node for (b + c) as it appears twice in the expression.
3. Connect nodes based on dependencies:
- Connect the two instances of (b + c) to the multiplication operator in the main expression.
- Connect b and c nodes to their respective positions in the (b + c) sub-expression.
Counting non-terminal nodes:
In the DAG representation of the given expression:
- There are 2 non-terminal nodes for (b + c) sub-expression.
- There is 1 non-terminal node for the multiplication operation.
Therefore, the total number of non-terminal nodes in the DAG for the expression a = (b + c)*(b + c) is 3, which corresponds to option 'B'.
Given expression: a = (b + c)*(b + c)
Steps to create a DAG:
1. Break down the expression:
- (b + c) is a sub-expression that appears twice in the main expression. We can represent it as a single node in the DAG to avoid redundancy.
2. Create nodes for each unique sub-expression:
- Nodes for b and c since they are unique terminals.
- Node for (b + c) as it appears twice in the expression.
3. Connect nodes based on dependencies:
- Connect the two instances of (b + c) to the multiplication operator in the main expression.
- Connect b and c nodes to their respective positions in the (b + c) sub-expression.
Counting non-terminal nodes:
In the DAG representation of the given expression:
- There are 2 non-terminal nodes for (b + c) sub-expression.
- There is 1 non-terminal node for the multiplication operation.
Therefore, the total number of non-terminal nodes in the DAG for the expression a = (b + c)*(b + c) is 3, which corresponds to option 'B'.
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