What is the result of evaluating the postfix expression "43*25*+8-" ?

Question

Accepted Answer

Correct answer: B — Symbol Scanned Action Stack Status (Bottom to Top) 4 Push 4 [4] 3 Push 3 [4, 3] * Pop 3, 4; Multiply ($4 	imes 3 = 12$); Push 12 [12] 2 Push 2 [12, 2] 5 Push 5 [12, 2, 5] * Pop 5, 2; Multiply ($2 	imes 5 = 10$); Push 10 [12, 10] + Pop 10, 12; Add ($12 + 10 = 22$); Push 22 [22] 8 Push 8 [22, 8] - Pop 8, 22; Subtract ($22 - 8 = 14$); Push 14 [14] Postfix notation, also known as Reverse Polish Notation (RPN), eliminates the need for parentheses by placing operators after their operands. In this specific expression, the first part 43* calculates to 12, and the second part 25* calculates to 10. The + operator then combines these results to get 22. Finally, the 8- operation subtracts 8 from the cumulative total of 22, leaving a final result of 14. This stack-based approach is how compilers typically evaluate mathematical expressions internally.

Answer

A. 8

Answer

B. 14

Answer

C. 10

Answer

D. 5

Symbol Scanned	Action	Stack Status (Bottom to Top)
4	Push 4	[4]
3	Push 3	[4, 3]
*	Pop 3, 4; Multiply ($4 \times 3 = 12$); Push 12	[12]
2	Push 2	[12, 2]
5	Push 5	[12, 2, 5]
*	Pop 5, 2; Multiply ($2 \times 5 = 10$); Push 10	[12, 10]
+	Pop 10, 12; Add ($12 + 10 = 22$); Push 22	[22]
8	Push 8	[22, 8]
-	Pop 8, 22; Subtract ($22 - 8 = 14$); Push 14	[14]