1. Converting Infix to Prefix Infix, Postfix and Prefix notations are three different but equivalent ways of writing expressions. In Infix notations, operators are written in-between their operands. However, in Prefix expressions, the operator comes before the operands. Assume the infix expression is a string of tokens delimited by spaces. The operator tokens are *, /, +, and -, along with the left and right parentheses, ( and ). The operand tokens are the single-character identifiers A, B, C, and so on. The following steps will produce a string of tokens in prefix order: 1. Reverse the infix expression i.e A + B * C will become C * B + A. Note while reversing each "(' will become ' and each ) becomes '('. 2. Obtain the postfix expression of the modified expression I.e CB * A +, 3. Reverse the postfix expression. Hence in our example prefix is + A * B C.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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Write a function Infix_to_Prefix that takes an arithmetic expression in Infix notation as a parameter and returns the corresponding arithmetic expression with Prefix notation.

Note: question explanation, sample input, and output are attached below. Kindly answer this question using python. Don't use classes

1. Converting Infix to Prefix
Infix, Postfix and Prefix notations are three different
but equivalent ways of writing expressions.
In Infix notations, operators are written in-between
their operands. However, in Prefix expressions, the
operator comes before the operands.
Assume the infix expression is a string of tokens
delimited by spaces. The operator tokens are *, /, +,
and -, along with the left and right parentheses, (
and ). The operand tokens are the single-character
identifiers A, B, C, and so on.
The following steps will produce a string of tokens in
prefix order:
1. Reverse the infix expression i.e A + B* C will
become C* B + A. Note while reversing each
(' will become ) and each ) becomes ('.
2. Obtain the postfix expression of the modified
expression I.e CB *A +.
3. Reverse the postfix expression. Hence in our
example prefix is + A * B C.
Transcribed Image Text:1. Converting Infix to Prefix Infix, Postfix and Prefix notations are three different but equivalent ways of writing expressions. In Infix notations, operators are written in-between their operands. However, in Prefix expressions, the operator comes before the operands. Assume the infix expression is a string of tokens delimited by spaces. The operator tokens are *, /, +, and -, along with the left and right parentheses, ( and ). The operand tokens are the single-character identifiers A, B, C, and so on. The following steps will produce a string of tokens in prefix order: 1. Reverse the infix expression i.e A + B* C will become C* B + A. Note while reversing each (' will become ) and each ) becomes ('. 2. Obtain the postfix expression of the modified expression I.e CB *A +. 3. Reverse the postfix expression. Hence in our example prefix is + A * B C.
>>> Infix_to_Prefix("( A + B ) * ( C + D
)")
* + AB + CD
>>> Infix_to_Prefix("A * B + C * D")
+ * AB * CD
Transcribed Image Text:>>> Infix_to_Prefix("( A + B ) * ( C + D )") * + AB + CD >>> Infix_to_Prefix("A * B + C * D") + * AB * CD
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