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1. Given the expression a*(b+tc)*d, write down its prefix notation and postfix notation.

1. Given the expression a*(b+tc)*d, 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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### Expression Notation Conversion #### Problem Statement Given the expression `a*(b+c)*d`, write down its prefix notation and postfix notation. #### Solution - **Prefix Notation (Polish Notation)**: - In prefix notation, also known as Polish notation, operators precede their operands. - For the expression `a*(b+c)*d`: 1. Start with the innermost operation: `b+c` becomes `+bc`. 2. Then, the entire multiplication `a*(b+c)` becomes `*a+bc`. 3. Finally, for `*a+bc*d`, apply the multiplication with `d`: 4. Resulting in: `**a+d+bc`. - **Postfix Notation (Reverse Polish Notation)**: - In postfix notation, operators follow their operands. - For the expression `a*(b+c)*d`: 1. Start with the innermost operation: `b+c` becomes `bc+`. 2. Then, for the multiplication `a*(b+c)`, it becomes `abc+*`. 3. Finally, append `d` for the last multiplication `*d`: 4. Resulting in: `abc+*d*`. These transformations help in understanding different ways to read and evaluate mathematical expressions without the need for parentheses.
Transcribed Image Text:### Expression Notation Conversion #### Problem Statement Given the expression `a*(b+c)*d`, write down its prefix notation and postfix notation. #### Solution - **Prefix Notation (Polish Notation)**: - In prefix notation, also known as Polish notation, operators precede their operands. - For the expression `a*(b+c)*d`: 1. Start with the innermost operation: `b+c` becomes `+bc`. 2. Then, the entire multiplication `a*(b+c)` becomes `*a+bc`. 3. Finally, for `*a+bc*d`, apply the multiplication with `d`: 4. Resulting in: `**a+d+bc`. - **Postfix Notation (Reverse Polish Notation)**: - In postfix notation, operators follow their operands. - For the expression `a*(b+c)*d`: 1. Start with the innermost operation: `b+c` becomes `bc+`. 2. Then, for the multiplication `a*(b+c)`, it becomes `abc+*`. 3. Finally, append `d` for the last multiplication `*d`: 4. Resulting in: `abc+*d*`. These transformations help in understanding different ways to read and evaluate mathematical expressions without the need for parentheses.
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