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Questions and Answers
Using the described algorithm, what is the postfix notation for the infix expression $A + B * C - D / E$?
Using the described algorithm, what is the postfix notation for the infix expression $A + B * C - D / E$?
- AB+C*DE/-
- ABC+*DE/-
- AB*C+DE/-
- ABC*+DE/- (correct)
Given the postfix expression $5\ 2\ +\ 8\ 3\ - *$, what is the result of its evaluation?
Given the postfix expression $5\ 2\ +\ 8\ 3\ - *$, what is the result of its evaluation?
- 14
- 7
- 25
- 35 (correct)
Which of the following infix expressions is correctly represented by the postfix expression $AB+C*D-$?
Which of the following infix expressions is correctly represented by the postfix expression $AB+C*D-$?
- (A + B) * C - D (correct)
- A + (B * C - D)
- A + B * (C - D)
- A + B * C - D
What is the stack content just before processing 'F' in the infix expression conversion to postfix for $(A+B/C*(D+E)-F)$?
What is the stack content just before processing 'F' in the infix expression conversion to postfix for $(A+B/C*(D+E)-F)$?
Which of the following statements regarding infix, prefix, and postfix notations is most accurate?
Which of the following statements regarding infix, prefix, and postfix notations is most accurate?
What is the postfix equivalent of the infix expression $(A + B) * (C + D)$?
What is the postfix equivalent of the infix expression $(A + B) * (C + D)$?
Given an empty stack, trace the stack operations while converting $A+B+C+D$ to postfix. What does the stack contain just before processing 'C'?
Given an empty stack, trace the stack operations while converting $A+B+C+D$ to postfix. What does the stack contain just before processing 'C'?
Using the example conversion, determine the postfix equivalent for infix: $(A+B*C)/(D-E-F)$?
Using the example conversion, determine the postfix equivalent for infix: $(A+B*C)/(D-E-F)$?
If the stack contains * while converting A*B+C*D to postfix, what are the inputs that caused * to be on the stack?
If the stack contains * while converting A*B+C*D to postfix, what are the inputs that caused * to be on the stack?
What is the final evaluated output of the postfix expression $10\ 6\ 2\ /\ *\ 9\ 10\ +\ * \ + \ 12\ -$?
What is the final evaluated output of the postfix expression $10\ 6\ 2\ /\ *\ 9\ 10\ +\ * \ + \ 12\ -$?
Given the expression abc-+de-+, which of the following represents the correct evaluation steps using a stack?
Given the expression abc-+de-+, which of the following represents the correct evaluation steps using a stack?
What is the prefix expression for the infix expression $A+B*C+D$?
What is the prefix expression for the infix expression $A+B*C+D$?
When converting the infix expression K+L-M*N+(O^P)*W/U/V*T+Q to prefix using a stack, what is the state of the stack when processing the character 'W'?
When converting the infix expression K+L-M*N+(O^P)*W/U/V*T+Q to prefix using a stack, what is the state of the stack when processing the character 'W'?
Given the prefix expression *+AB+CD, what is its equivalent infix expression?
Given the prefix expression *+AB+CD, what is its equivalent infix expression?
You are evaluating the prefix expression +9*26. What are the intermediate steps?
You are evaluating the prefix expression +9*26. What are the intermediate steps?
When converting (A+B)*(C+D) to prefix notation, which of the following is a step along the way?
When converting (A+B)*(C+D) to prefix notation, which of the following is a step along the way?
What would be the stack contents after processing 'B' and then '+' when converting 'A+B*C' to prefix?
What would be the stack contents after processing 'B' and then '+' when converting 'A+B*C' to prefix?
What is the relationship between number of operands with number of operators while converting from infix to postfix?
What is the relationship between number of operands with number of operators while converting from infix to postfix?
If an expression contains characters instead of numerical values what is the final output when it is fully evaluated using stack?
If an expression contains characters instead of numerical values what is the final output when it is fully evaluated using stack?
What is the prefix form of (D+C)*(B+A)?
What is the prefix form of (D+C)*(B+A)?
Flashcards
Operator
Operator
A symbol that denotes operations on operands, e.g., +, -.
Operand
Operand
An entity on which an operation is performed, e.g., numbers or variables.
Stack
Stack
A data structure that follows Last In, First Out (LIFO) principle.
Infix Expression
Infix Expression
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Prefix Expression
Prefix Expression
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Converting Infix to Prefix
Converting Infix to Prefix
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Evaluation of Prefix
Evaluation of Prefix
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Postfix Expression
Postfix Expression
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Symbol Stack State
Symbol Stack State
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Operator Precedence
Operator Precedence
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Infix Notation
Infix Notation
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Postfix Notation
Postfix Notation
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Prefix Notation
Prefix Notation
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Infix to Postfix Conversion
Infix to Postfix Conversion
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Postfix Evaluation
Postfix Evaluation
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Expression
Expression
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Postfix to Infix Conversion
Postfix to Infix Conversion
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Study Notes
Stack
- A stack is a linear data structure that follows the Last-In, First-Out (LIFO) principle.
- Elements are added (pushed) and removed (popped) from the top of the stack.
Prefix, Infix, and Postfix Notation
- Infix notation: Operators are placed between operands (e.g., A + B). Standard mathematical notation.
- Prefix notation: Operators are placed before operands (e.g., +AB). Useful for algorithms where order of operations is essential.
- Postfix notation: Operators are placed after operands (e.g., AB+). Efficient for evaluation without parentheses.
Infix to Postfix Conversion
- A process of converting an expression in infix notation to postfix notation.
- Uses a stack to manage operators.
Postfix Evaluation
- A method of evaluating expressions in postfix notation.
- Operands are pushed onto the stack.
- When an operator is encountered, the top two operands are popped, the operation is performed, and the result is pushed back onto the stack.
- This process continues until a single result remains on the stack, which is the final answer.
Postfix to Infix Conversion
- A process of converting an expression from postfix to infix.
- Uses a stack to hold operands and intermediate results.
Prefix to Infix Conversion
- A process of converting an expression from prefix to infix.
- Uses a stack in a similar manner as converting from postfix to infix.
Evaluation Prefix
- A method for evaluating expressions written in prefix notation.
- Elements are read from right to left.
- Operands are pushed onto the stack.
- When an operator is encountered, the top two operands are popped, the operation is performed, and the result is pushed back onto the stack.
- This process continues until a single result remains on the stack, which is the final answer.
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