2. Convert the following infix form expression into the postfix form expression by using a stack:...

2. Convert the following infix form expression into the postfix form expression by using a stack:

A+(B*(C-D)+E)/F-G*H

Show the stack after each push/pop.

Expert Solution

Convert the infix to postfix expression:-

Postfix expression is a collection of operators and operands in which the operator is placed after the operands. that means, in a postfix expression the operator follows the operands.
Postfix expression has a structure:-
operand1 operand2 operator example is ab+

Read all the symbols one by one from left to right
if the reading symbol is an operand, then push to onto the stack
if the reading symbol is operator(+,-,*,/) then perform TWO pop operations and store two popped operand in different variables.
finally perform a pop operation and display the popped value as final result

Symbol	Stack	Postfix
A	(	A
+	(+	A
(	(+(	A
B	(+(	AB
*	(+(*	AB
(	(+(*(	AB
C	(+(*(	ABC
-	(+(*(-	ABC
D	(+(*(-	ABCD
)	(+(*	ABCD-
+	(+(+	ABCD-*
E	(+(+	ABCD-*E
)	(+	ABCD-*E+
/	(+/	ABCD-*E+
F	(+/	ABCD-*E+F
-	(-	ABCD-*E+F/+
G	(-	ABCD-*E+F/+G
*	(-*	ABCD-*E+F/+G
H	(-*	ABCD-*E+F/+GH
)		ABCD-E+F/+GH-

Here we are Assuming the brackets outside the whole expression by default to convert it into postfix.

venereology answered 6 months ago

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