Conversions: Infix, Prefix, and Postfix

What is the main difference between infix and prefix notation?

• The main difference is the placement of operators: infix has operators between operands, prefix has operators before operands.

• Infix notation has operators after operands, while prefix has them before.

• Infix notation is used only in programming languages, while prefix is used in mathematics.

• Prefix notation requires parentheses around all expressions, unlike infix.

Convert the infix expression A + B to prefix notation.

• A + B

• + B A

• B + A

• + A B

Convert the infix expression A + B to postfix notation.

• A B +

• + A B

• A + B

• B A +

What is the order of operations in infix expressions?

• Parentheses, Exponents, Multiplication/Division, Addition/Subtraction

• Multiplication, Division, Parentheses, Exponents

• Addition, Subtraction, Multiplication/Division, Exponents

• Exponents, Parentheses, Addition/Subtraction, Multiplication/Division

How do you handle parentheses in infix to prefix conversion?

• Convert directly to prefix without reversing

• Reverse the expression, swap parentheses, convert to postfix, then reverse to get prefix.

• Reverse the expression and leave parentheses unchanged

• Only swap parentheses without converting to postfix

What is the role of the stack in infix to postfix conversion?

• The stack stores operands for quick access during conversion.

• The stack is used to hold the final postfix expression directly.

• The stack manages operators and ensures correct order of precedence in infix to postfix conversion.

• The stack eliminates the need for operator precedence in the conversion process.

Convert the infix expression (A - B) * C to prefix notation.

• - A * B C

• * - A B C

• C * - A B

• * C - A B

Convert the infix expression (A - B) * C to postfix notation.

• C A B - *

• B A C - *

• A B - C *

• A C - B *

What is the precedence of operators in infix notation?

• Exponents > Parentheses > Addition/Subtraction > Multiplication/Division

• Parentheses > Addition/Subtraction > Multiplication/Division > Exponents

• Multiplication/Division > Parentheses > Exponents > Addition/Subtraction

• Parentheses > Exponents > Multiplication/Division > Addition/Subtraction

Explain how to convert an infix expression with multiple operators to prefix notation.

• To convert to prefix, evaluate the expression and write the result in reverse order.

• Convert infix to prefix by simply rearranging the operators.

• Prefix notation is obtained by removing all parentheses from the infix expression.

• The prefix notation of an infix expression is obtained by reversing the infix, converting to postfix, and then reversing the postfix.