Step | Stack | Action | Explanation |
---|
Here is a table for each step of the infix to postfix conversion for the expression A * (B + C) / D:
Step 1: Process the element A
Output | Stack | Element Processed |
---|---|---|
A | A |
Step 2: Process the element *
Output | Stack | Element Processed |
---|---|---|
A | * | * |
Step 3: Process the element (
Output | Stack | Element Processed |
---|---|---|
A | *( | ( |
Step 4: Process the element B
Output | Stack | Element Processed |
---|---|---|
AB | *( | B |
Step 5: Process the element +
Output | Stack | Element Processed |
---|---|---|
AB | *+ | + |
Step 6: Process the element C
Output | Stack | Element Processed |
---|---|---|
ABC | *+ | C |
Step 7: Process the element )
Output | Stack | Element Processed |
---|---|---|
ABC+ | * | ) |
Step 8: Process the element /
Output | Stack | Element Processed |
---|---|---|
ABC+ | */ | / |
Step 9: Process the element D
Output | Stack | Element Processed |
---|---|---|
ABC+D | */ | D |
Final Step: Pop the remaining operators from the stack
Output | Stack | Action |
---|---|---|
ABC+D* | Pop remaining |
The final postfix expression is: ABC+D*