57. What is the value of the postfix expression 6 3 2 4 + – *?(a) 1(b) 40(c) 74(d) -18
Question
What is the value of the postfix expression 6 3 2 4 + – *
?
(a) 1
(b) 40
(c) 74
(d) -18
Solution
Sure, I can help with that. The postfix expression is evaluated using a stack. Here are the steps:
- Push 6 onto the stack.
- Push 3 onto the stack.
- Push 2 onto the stack.
- Push 4 onto the stack.
- Encounter '+', so pop 2 and 4 from the stack, add them together to get 6, and push 6 back onto the stack.
- Encounter '–', so pop 6 and 3 from the stack, subtract 6 from 3 to get -3, and push -3 back onto the stack.
- Encounter '*', so pop -3 and 6 from the stack, multiply them together to get -18, and push -18 back onto the stack.
- Now, there are no more elements in the expression, so the value of the expression is the only element left on the stack, which is -18.
So, the answer is (d) -18.
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