Infix to Prefix Conversion/....................................................................pptx
1.
Infix to PrefixConversion
Represented to : Sudhir Pandey Sir
Presented By : Prashant Yadav
Reg no: 22105117040
Branch: Computer science & Engineering
2.
What is InfixNotation?
An expression is written in a conventional or
typical manner in an infix notation. The
operators are placed between the operands in
this notation. A+B, A*B, and A/B, is an
example of infix notation.
3.
What is PrefixNotation?
A prefix notation does not require knowledge
about precedence or associativity, whereas an
infix notation requires information about
precedence and associativity. Polish notation is
another name for it. An operator comes before
the operands in prefix notation. The following is
the prefix notation's syntax:
4.
Converting Infix Expressionto Prefix
Expression
We can use the stack data structure for an
Infix to prefix conversion. Here's the
concept:
• First, flip the infix expression. Keep in mind
that when reversed, each "(" will become
a ")" and each ")" a "(".
• The second step is to "nearly" postfix the
reversed infix expression.
5.
•Instead of performingthe pop operation to
remove operators with greater than or equal
precedence during the conversion to postfix
expression, we will only remove the operators
from the stack that have a higher precedence in
this case.
•Reverse the postfix expression in step three.
•Infix expressions are converted to postfix forms
using the stack.
Conversion of Infixto Prefix with
stack
(A*B+C)=(C+B*A)
Prefix=+*ABC
Symbol Stack Postfix
( ( Empty
c ( C
+ (+ C
B (+ CB
* (+* CB
A (+* CBA
) (+*) CBA*+