Evaluate the postfix expression shown below using a stack. Begin with an empty stack and show...
Evaluate the postfix expression shown below using a stack. Begin with an empty stack and show the contents of the stack after reading each token and indicate where “top” is. After reading all the tokens in the expression, the final result should be on the stack.
5 8 9 + * 7 4 * 5 3 2 * * + *
Homework Answers
Postfix expression evaluation:
In postfix expression evaluation, the stack data structure is used and we need the expression from left to right.
If it is an operand then it is pushed on to the stack and if it is an operator then two operands are popped from the stack and then evaluated. The result is pushed back onto the stack and the same process is repeated until the end of the expression.
The given postfix expression is:
5 8 9 + * 7 4 * 5 3 2 * * + *
The first operand is pushed onto the stack.
The second operand is pushed onto the stack.
The third operand is pushed onto the stack.
The top two items are popped from the stack and operation is performed and the result is stored onto the stack.
The top two items are popped from the stack and operation is performed and the result is stored onto the stack.
The operand is pushed onto the stack.
The operand is pushed onto the stack.
The top two items are popped from the stack and operation is performed and the result is stored onto the stack.
The operand is pushed onto the stack.
The operand is pushed onto the stack.
The operand is pushed onto the stack.
The top two items are popped from the stack and operation is performed and the result is stored onto the stack.
The top two items are popped from the stack and operation is performed and the result is stored onto the stack.
The top two items are popped from the stack and operation is performed and the result is stored onto the stack.
The top two items are popped from the stack and operation is performed and the result is stored onto the stack.
The final result is 4930 and it will be the last element in the stack.
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