Question

Using the algorithm evaluatePostfix, given in Segment 5.18 (or see the algorithm evaluatePostfix in this pdf), evaluate the following postfix expression. Assume that a = 2, b = 3, c = 4, d = 5, and e = 6.
 ? ? ∗ ? ? − / ? ? ∗ +

3. The algorithm evaluatePostfix Algorithmm evaluatePostfix(postfix) Evaluates a postfix expression valueStacka new emply stack while (postfix has characters left to parse nextCharacter next nonblank character of postfix switch (nextCharacter) case variable valueStack.push value of the variable nextCharacter) break case .+ : case .- : case : case ,/, : case·A : operandTwo-valueStack.pop operandOne- valueStack.popO result-the result of the operation in nextcharacter and its operands operandOne and operandTwo valueStack.pushCresult) break default: break return valueStack peek

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Answer #1

a b * c a * - / d e * +

a = 2, b = 3, c = 4, d = 5, and e = 6

value/symbol Operation Stack
a push(2) [2]
b push(3) [2 3]
* pop();pop(); 2*3 = 6 [6]
c push(4) [6 4]
a push(2) [6 4 2]
- pop();pop(); 4-2 = 2 [6 2]
/ pop();pop(); 6/2 = 3 [3]
d push(5) [3 5]
e push(6) [3 5 6]
* pop(); pop(); 5*6 = 30 [3 30]
+ pop();pop(); 3 + 30 = 33 [33]

Answer = 33

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