GATE CS 2024 Set 1 — Question 33
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Programming & Data Structures → Stacks & Queues → Expression Evaluation
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Question
Consider the operator precedence and associativity rules for the integer arithmetic operators given in the table below.
The value of the expression as per the above rules is __________
| Operator | Precedence | Associativity |
|---|---|---|
| + | Highest | Left |
| − | High | Right |
| ∗ | Medium | Right |
| / | Low | Right |
Correct answer
6 to 6
Solution
To evaluate the expression , we follow the given precedence and associativity rules:
There are three '+' operators. We evaluate them from left to right:
The subtraction chain is . Since it is right associative, we evaluate from right to left:
There is one '*' operator:
There are two '/' operators. Since it is right associative, we evaluate from right to left:
1.+ (Highest, Left-to-Right)
2.− (High, Right-to-Left)
3.∗ (Medium, Right-to-Left)
4./ (Low, Right-to-Left)
Step 1: Evaluate '+' (Highest precedence, Left associative)There are three '+' operators. We evaluate them from left to right:
The subtraction chain is . Since it is right associative, we evaluate from right to left:
There is one '*' operator:
There are two '/' operators. Since it is right associative, we evaluate from right to left:
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