Expression Evaluation Quiz

Given the infix expression: (5+3)∗2(5 + 3) * 2(5+3)∗2 Which of the following represents the correct prefix notation?

• + * 5 3 2

• * + 5 3 2

• * 5 + 3 2

• + 5 * 3 2

Convert the following infix expression to postfix notation: a+b∗ca + b * ca+b∗c

• + a * b c

• a b c * +

• a + b * c

• a b + c *

Which of the following expressions will evaluate in the same order as the infix expression 7−2+57 - 2 + 57−2+5, given left-to-right associativity for + and -?

• (7 - 2) + 5

• 7 - (2 + 5)

• (2 - 7) + 5

• 7 - 2 - 5

If the infix expression is a∗(b+c)a * (b + c)a∗(b+c), which conversion is incorrect?

• Prefix: * a + b c

• Postfix: a b c + *

• Prefix: + a * b c

• Infix: a * (b + c)

You are tasked to design a calculator that reads postfix expressions. Which data structure is the most appropriate for parsing the expression?

• Queue

• Stack

• Linked List

• Tree

Analyze the operator precedence in this expression: 3+4∗23 + 4 * 23+4∗2 Which statement correctly describes the evaluation order?

• Addition is done first, then multiplication

• Multiplication is done first, then addition

• Both operations are done from left to right without precedence rules

• The expression must be enclosed in parentheses before evaluation

Given the prefix expression - + 8 4 3, what is its infix equivalent?

• (8 + 4) - 3

• 8 + (4 - 3)

• 8 - (4 + 3)

• (8 - 4) + 3

If an algorithm processes infix notation directly without conversion, which of the following is a likely drawback?

• Increased time and space complexity

• Difficulty in writing expressions for humans

• Loss of operator precedence

• Need for multiple passes through the data

A spreadsheet program (like Excel) receives a formula = (A1 + A2) * A3. To evaluate it efficiently, the system first converts it to postfix. Which of the following is the correct postfix conversion?

• A1 A2 A3 + *

• A1 A2 + A3 *

• A1 A3 A2 * +

• A3 A1 A2 + *

You are creating a compiler for a new programming language. To minimize execution time, you decide to implement expression parsing that uses a stack. Which of the following best explains why a stack is used in this case?

• It maintains variables in sorted order

• It follows Last-In, First-Out to handle nested operations correctly

• It stores all operators permanently for later use

• It eliminates the need for precedence rules