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Consider the following grammar along with translation rules:
S → S1 # T {S. val = S1. val* T. val}
S → T {S. val = T. val}
T + T ,%R (T. val = T1 val ÷ R. val)
T → R {T. val = R. val}
R → id {R. val = id. val}
Using translation rules, the computed value of the S.val for the expression 20 #10%5 # 8%2%2 is ______.
S → S1 # T {S. val = S1. val* T. val}
S → T {S. val = T. val}
T + T ,%R (T. val = T1 val ÷ R. val)
T → R {T. val = R. val}
R → id {R. val = id. val}
Using translation rules, the computed value of the S.val for the expression 20 #10%5 # 8%2%2 is ______.
Correct answer is '80'. Can you explain this answer?
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Consider the following grammar along with translation rules:S → S...
Annotated parse tree
∴ S .val = 80
∴ S .val = 80
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Community Answer
Consider the following grammar along with translation rules:S → S...
Explanation:
Given Expression:
- 20 #10%5 # 8%2%2
Translation Rules:
- S → S1 # T: S.val = S1.val * T.val
- S → T: S.val = T.val
- T + T ,%R: T.val = T1.val / R.val
- T → R: T.val = R.val
- R → id: R.val = id.val
Computing S.val:
- Evaluate R.val for each id:
- 20 = 20
- 10 = 10
- 5 = 5
- 8 = 8
- 2 = 2
- Compute T.val using translation rules:
- 10 % 5 = 2
- 8 % 2 = 0
- 2 % 2 = 0
- Compute S.val using translation rules:
- 20 # 2 = 40
- 40 # 0 = 0
Final Result:
- S.val = 40 * 0 = 0
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