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in Computer by (61.3k points)

Consider the arithmetic expression P, written in postfix notation: 12,7,3,-,/,2,1,5,+,*,+ 

(a) Translate P, into its equivalent infix expression.

(b) Evaluate the infix expression.

1 Answer

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(a) Consider the following arithmetic expression P, written in postfix notation:

P: 12, 7, 3, - , /, 2, 1, 5 , + , * , + 

Translate P into infix expression.

P: 12,[7-3],/,2,1,5,+,*,+

=[12/(7-3)],2,1,5,+,*,+

=[12/(7-3)],2,[1+5],*,+

=[12/(7-3)],[2*(1+5)],+

=12/(7-3)+2*(1+5)

(b) Evaluate the infix expression.

P: 12 , 7 , 3 , - , / , 2 , 1 , 5 , + , * , + , )

Symbol Stack
12 12
7  12,7
3 12,7,3
- 12,4
/ 3
2 3,2
1 3,2,1
5 3,2,1,5
+ 3,2,6
* 3,12
+ 15
) 15

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