Assume two binary operators ‘^’ and ‘v’. ‘^’ has higher precedence than ‘v’.…
2021
Assume two binary operators ‘^’ and ‘v’. ‘^’ has higher precedence than ‘v’. Operator ‘^’ is right associative while operator ‘v’ is left associative. Which of the following represents the expression tree for the given expression? (9 v 3 ^ 4 v 2)
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Show answer & explanation
Expression:
9 v 3 ^ 4 v 2
Rules:
^ has higher precedence than v
^ is right associative
v is left associative
Step 1: Apply precedence
^ first →
9 v (3 ^ 4) v 2
Step 2: Apply associativity of v (left to right)
→ (9 v (3 ^ 4)) v 2
Step 3: Build expression tree
Root:
vLeft child:
(9 v (3 ^ 4))Right child:
2
Left subtree:
Root:
vLeft:
9Right:
^Left:
3Right:
4
Final Structure:
v
/ \
v 2
/ \
9 ^
/ \
3 4