The attributes of three arithmetic operators in some programming language are…
2016
The attributes of three arithmetic operators in some programming language are given below.
The value of the expression 2−5+1−7 ∗ 3 in this language is __________ .
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Correct answer: 9
Key insight: In this language, plus has the highest precedence, minus has medium precedence and is right-associative, and multiplication has the lowest precedence.
Evaluate the highest-precedence operator first: 5 + 1 = 6. This gives the intermediate expression 2 − 6 − 7 * 3.
Next, handle subtraction before multiplication because subtraction has higher precedence than multiplication. Subtraction is right-associative, so evaluate the rightmost subtraction first: 6 − 7 = -1.
Now evaluate the remaining subtraction from left to right as determined by the associativity applied: 2 − (−1) = 3.
Finally, perform the multiplication (lowest precedence): 3 * 3 = 9.
Final answer: 9
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