P-6.35 Implement a program that can input an expression in postfix notation (see Exer- cise C-6.19) and output its value.
P-6.35 Implement a program that can input an expression in postfix notation (see Exer- cise C-6.19) and output its value.
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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Need help with exercise P 6.35:

Transcribed Image Text:C-6.19 Postfix notation is an unambiguous way of writing an arithmetic expression with-
out parentheses. It is defined so that if "(exp₁) op (exp2)" is a normal fully paren-
thesized expression whose operation is op, the postfix version of this is "pexp₁
pexp2 op", where pexp₁ is the postfix version of exp₁ and pexp2 is the postfix ver-
sion of exp2. The postfix version of a single number or variable is just that number
or variable. So, for example, the postfix version of "((5+2) * (8 − 3))/4" is "5
* 4 /". Describe a nonrecursive way of evaluating an expression in
postfix notation.
2+83-

Transcribed Image Text:P-6.35 Implement a program that can input an expression in postfix notation (see Exer-
cise C-6.19) and output its value.
Expert Solution

Step 1
6.15 )solution
def post_fix(expression):
character = expression.split(" ")
stack = []
while len(character) > 0:
item = character.pop(0)
if item.isdigit():
stack.append(int(item))
elif item == "+":
if len(stack) > 1:
stack.append(stack.pop() + stack.pop())
else:
return "Invalid expression found"
break
elif item == "-":
if len(stack) > 1:
tmp = stack.pop()
stack.append(stack.pop() - tmp)
else:
return "Invalid expression found"
break
elif item == "/":
if len(stack) > 1:
tmp = stack.pop()
stack.append(stack.pop() / tmp)
else:
return "Invalid expression found"
break
elif item == "*":
if len(stack) > 1:
stack.append(stack.pop() * stack.pop())
else:
return "Invalid expression found"
break
elif item == "^":
if len(stack) > 1:
tmp = stack.pop()
stack.append(pow(stack.pop(), tmp))
else:
return "Invalid expression found"
break
else:
break
return stack.pop()
print("Your postfix expression 3 4 5 + * evaluates to : ",post_fix("3 4 5 + *"))
print("Your postfix expression 2 1 + 3 * evaluates to : ",post_fix("2 1 + 3 *"))
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