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The postfix expression for the infix expression: A + B* (C + D) / F + D * E is:
- a)AB + CD + *F / D + E*
- b)ABCD + *F / + DE* +
- c)A*B+ CD ? F*DE ++
- d)F*DE ++
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
The postfix expression for the infix expression: A + B* (C + D) /F + D...
Infix: A + B *(C + D)/ F + D *E
Postfix: ABCD + *F/ + DE* +
Postfix: ABCD + *F/ + DE* +
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The postfix expression for the infix expression: A + B* (C + D) /F + D...
Postfix Expression for Infix Expression
The given infix expression is: A B* (C D) /F D * E
To convert this infix expression to postfix expression, we follow the below steps:
1. Scan the infix expression from left to right.
2. If a token is an operand, append it to the postfix expression.
3. If a token is an operator, push it onto the stack. If the stack is empty or contains a left parenthesis on top, push the operator onto the stack.
4. If a token is a left parenthesis, push it onto the stack.
5. If a token is a right parenthesis, pop operators from the stack and append them to the postfix expression until a left parenthesis is popped. Discard the pair of parentheses.
6. Repeat steps 2-5 until the infix expression is scanned completely.
7. Pop any remaining operators from the stack and append them to the postfix expression.
Using the above steps, we can convert the given infix expression to postfix expression as follows:
A B * C D / F / D E *
The given infix expression is: A B* (C D) /F D * E
To convert this infix expression to postfix expression, we follow the below steps:
1. Scan the infix expression from left to right.
2. If a token is an operand, append it to the postfix expression.
3. If a token is an operator, push it onto the stack. If the stack is empty or contains a left parenthesis on top, push the operator onto the stack.
4. If a token is a left parenthesis, push it onto the stack.
5. If a token is a right parenthesis, pop operators from the stack and append them to the postfix expression until a left parenthesis is popped. Discard the pair of parentheses.
6. Repeat steps 2-5 until the infix expression is scanned completely.
7. Pop any remaining operators from the stack and append them to the postfix expression.
Using the above steps, we can convert the given infix expression to postfix expression as follows:
A B * C D / F / D E *
Therefore, the postfix expression for the given infix expression is: A B * C D / F / D E *
The correct option is 'B', which represents the postfix expression obtained above.
The correct option is 'B', which represents the postfix expression obtained above.
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The postfix expression for the infix expression: A + B* (C + D) /F + D...
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The postfix expression for the infix expression: A + B* (C + D) /F + D * E is:a)AB + CD + *F /D + E*b)ABCD + *F /+ DE* +c)A*B+ CD ? F*DE ++d)F*DE ++Correct answer is option 'B'. Can you explain this answer?
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