- 2073 Bhadra · 5 marks
Convert A+B-(C*D/E+F)-G*H to postfix
Short answer
Converting A+B-(C*D/E+F)-G*H yields postfix AB+CD*E/F+-GH*-. Stack: operands outputted; operators popped when equal/higher precedence appears.
Show status of stack while converting the following infix expression to postfix expression: A+B-(CD/E+F)-GH.
Infix: A + B - ( C * D / E + F ) - G * H. Equal-precedence operators are popped before pushing the new one (left-to-right).
| Step | Symbol | Stack (bottom → top) | Postfix output |
|---|---|---|---|
| 1 | A | (empty) | A |
| 2 | + | + | A |
| 3 | B | + | AB |
| 4 | - | - | AB+ |
| 5 | ( | -( | AB+ |
| 6 | C | -( | AB+C |
| 7 | * | -(* | AB+C |
| 8 | D | -(* | AB+CD |
| 9 | / | -(/ | AB+CD* |
| 10 | E | -(/ | AB+CD*E |
| 11 | + | -(+ | AB+CD*E/ |
| 12 | F | -(+ | AB+CD*E/F |
| 13 | ) | - | AB+CD*E/F+ |
| 14 | - | - | AB+CD*E/F+- |
| 15 | G | - | AB+CD*E/F+-G |
| 16 | * | -* | AB+CD*E/F+-G |
| 17 | H | -* | AB+CD*E/F+-GH |
| end | (pop all) | (empty) | AB+CD*E/F+-GH*- |
Answer: AB+CD*E/F+-GH*-
✓ Answer checked by Claude Opus 5.5 (high effort)
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