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Given the expression b*b-4*a*c, write down its prefix notation and postfix notation.

Given the expression b*b-4*a*c, write down its prefix notation and postfix notation.

Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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**Problem:** Given the expression \( b * b - 4 * a * c \), write down its prefix notation and postfix notation. --- **Solution:** Infix expression: \( b * b - 4 * a * c \) **Prefix Notation:** Prefix notation, also known as Polish notation, involves placing the operator before its operands. To convert the given expression to prefix notation, follow these steps: 1. Identify the main operator in the infix expression, which is subtraction (-). 2. The expression can be viewed as: \((b * b) - ((4 * a) * c)\). 3. Convert each operation to prefix: - \(b * b\) becomes \(* b b\) - \(4 * a\) becomes \(* 4 a\) - Then \(* 4 a\) is multiplied by \(c\) becomes \(* * 4 a c\) 4. Combine these in prefix notation: \(- * b b * * 4 a c\) **Postfix Notation:** Postfix notation, also known as Reverse Polish notation, involves placing the operator after its operands. To convert the given expression to postfix notation, follow these steps: 1. As before, split the expression based on the main operator: \((b * b) - ((4 * a) * c)\). 2. Convert each operation to postfix: - \(b * b\) becomes \(b b *\) - \(4 * a\) becomes \(4 a *\) - \(4 a * c\) operates as \((4 * a) * c\) and becomes \(4 a * c *\) 3. Combine these in postfix notation: \(b b * 4 a * c * -\) --- This explanation will assist users in understanding how to convert infix expressions into both prefix and postfix notations.
Transcribed Image Text:**Problem:** Given the expression \( b * b - 4 * a * c \), write down its prefix notation and postfix notation. --- **Solution:** Infix expression: \( b * b - 4 * a * c \) **Prefix Notation:** Prefix notation, also known as Polish notation, involves placing the operator before its operands. To convert the given expression to prefix notation, follow these steps: 1. Identify the main operator in the infix expression, which is subtraction (-). 2. The expression can be viewed as: \((b * b) - ((4 * a) * c)\). 3. Convert each operation to prefix: - \(b * b\) becomes \(* b b\) - \(4 * a\) becomes \(* 4 a\) - Then \(* 4 a\) is multiplied by \(c\) becomes \(* * 4 a c\) 4. Combine these in prefix notation: \(- * b b * * 4 a c\) **Postfix Notation:** Postfix notation, also known as Reverse Polish notation, involves placing the operator after its operands. To convert the given expression to postfix notation, follow these steps: 1. As before, split the expression based on the main operator: \((b * b) - ((4 * a) * c)\). 2. Convert each operation to postfix: - \(b * b\) becomes \(b b *\) - \(4 * a\) becomes \(4 a *\) - \(4 a * c\) operates as \((4 * a) * c\) and becomes \(4 a * c *\) 3. Combine these in postfix notation: \(b b * 4 a * c * -\) --- This explanation will assist users in understanding how to convert infix expressions into both prefix and postfix notations.
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