How you can convert given infix expression into their equivalent postfix expression?
Table of Contents
- 1 How you can convert given infix expression into their equivalent postfix expression?
- 2 What will be the postfix expression for following infix expression a B * C D F D * E?
- 3 How do you convert the infix expression into postfix expression explain the parenthesis method with an example?
- 4 How do you solve an infix expression?
- 5 What will be the postfix expression for following infix expression B * C+ D E?
- 6 How do you convert infix to prefix?
- 7 How do you convert infix expressions to postfix expressions?
- 8 How does the postfix algorithm work?
How you can convert given infix expression into their equivalent postfix expression?
To convert infix expression to postfix expression, we will use the stack data structure. By scanning the infix expression from left to right, when we will get any operand, simply add them to the postfix form, and for the operator and parenthesis, add them in the stack maintaining the precedence of them.
What is the infix expression for the corresponding postfix expression ABC *+ DE *+?
What is the postfix expression for the corresponding infix expression? Explanation: Using the infix to postfix expression conversion algorithm, the corresponding postfix expression is found to be abc*+de*+. 6.
What will be the postfix expression for following infix expression a B * C D F D * E?
The postfix expression for the infix expression A+B∗(C+D)/F+D∗E is: AB+CD+∗F/D+E∗
What postfix expression is equivalent to the following infix expression?
The postfix expression abc+de/*- is equivalent to which of the following infix expression? Hence, correct choice is a-(b+c)*(d/e). So, the equivalent infix expression is (1 + 2) * 3 – (4 * 5) and it’s value is -11.
How do you convert the infix expression into postfix expression explain the parenthesis method with an example?
If we encounter any operand in the expression, then we push the operand in the stack. When we encounter any operator in the expression, then we pop the corresponding operands from the stack….Example 1: Postfix expression: 2 3 4 * +
| Input | Stack | |
|---|---|---|
| * + | 4 3 2 | Pop 4 and 3, and perform 4*3 = 12. Push 12 into the stack. |
How can you convert an infix expression to postfix expression using stack give one example?
Algorithm
- Step 1 : Scan the Infix Expression from left to right.
- Step 2 : If the scanned character is an operand, append it with final Infix to Postfix string.
- Step 3 : Else,
- Step 3.2 : Else, Pop all the operators from the stack which are greater than or equal to in precedence than that of the scanned operator.
How do you solve an infix expression?
Algorithm:
- If the character is an operand, push it to the operand stack.
- If the character is an operator,
- If the character is “(“, then push it onto the operator stack.
- If the character is “)”, then do Process (as explained above) until the corresponding “(” is encountered in operator stack.
What is postfix expression for infix expression a B CD * e?
4.9. Infix, Prefix and Postfix Expressions
| Infix Expression | Prefix Expression | Postfix Expression |
|---|---|---|
| A + B * C + D | + + A * B C D | A B C * + D + |
| (A + B) * (C + D) | * + A B + C D | A B + C D + * |
| A * B + C * D | + * A B * C D | A B * C D * + |
| A + B + C + D | + + + A B C D | A B + C + D + |
What will be the postfix expression for following infix expression B * C+ D E?
Discussion Forum
| Que. | What will be the postfix expression for following infix expression: b * c + d / e |
|---|---|
| b. | bcd*e/+ |
| c. | bc*de/+ |
| d. | bc*de+/ |
| Answer:bc*de/+ |
What is the postfix expression for the following infix expression a B CD *?
Explanation: From the given expression tree, the infix expression is found to be (a*b)+(c-d). Converting it to postfix, we get, ab*cd-+.
How do you convert infix to prefix?
We use the same to convert Infix to Prefix.
- Step 1: Reverse the infix expression i.e A+B*C will become C*B+A. Note while reversing each ‘(‘ will become ‘)’ and each ‘)’ becomes ‘(‘.
- Step 2: Obtain the “nearly” postfix expression of the modified expression i.e CB*A+.
- Step 3: Reverse the postfix expression.
Which of the following data structure is used to convert the infix expression into prefix postfix?
stacks
What data structure is used when converting an infix notation to prefix notation? Explanation: First you reverse the given equation and carry out the algorithm of infix to postfix expression. Here, the data structure used is stacks. 2.
How do you convert infix expressions to postfix expressions?
Let’s translate an infix expression into postfix expression in the stack: Here, we have infix expression ( ( A * (B + D)/E) – F * (G + H / K))) to convert into its equivalent postfix expression: Label No. Symbol Scanned. Stack.
How do you write a + B in postfix?
Pop the operator “+” from the stack and add it to the expression string which already has “ A B ” in it. So now the output becomes “ A B + ” which is the Postfix notation for the given infix expression “ A + B ”.
How does the postfix algorithm work?
The algorithm uses a stack to temporarily hold operators. The postfix expression is obtained from left-to-right using the operands from the infix expression and the operators which are removed from the stack.
How do you add operators to an infix expression?
By scanning the infix expression from left to right,if we get any operand, simply add it to the postfix form, and for the operator and parenthesis, add them in the stack maintaining the precedence of them. Infix Expression : Infix Expression contains operator in-between every pair of operands,Expression of the form a op b.