1.2 KiB
Executable File
1.2 KiB
Executable File
Convert the Infix Expression A * (B + C) / D to a Postfix Expression
To convert the infix expression A * (B + C) / D
into postfix notation, we use the following rules:
- Operator Precedence: Parentheses have the highest precedence, followed by multiplication (
*
) and division (/
), and then addition (+
). - Associativity: Operators like
*
and/
are left-associative, meaning operations are performed left to right if they have the same precedence. - Conversion Rules:
- Operands (like
A
,B
,C
,D
) are output immediately. - Operators are pushed onto a stack.
- Parentheses dictate the priority: Solve what's inside the parentheses first.
- Operands (like
Step-by-Step Conversion
Infix Expression: A * (B + C) / D
-
Start with the subexpression inside the parentheses
(B + C)
:- Convert
B + C
to postfix:BC+
.
- Convert
-
Substitute the postfix for
(B + C)
back into the original expression:- The expression becomes
A * BC+ / D
.
- The expression becomes
-
Process the multiplication (
*
) and division (/
):A * BC+
becomesABC+*
.ABC+* / D
becomesABC+*D/
.
Final Postfix Expression:
ABC+*D/