Which of the following postfix expressions corresponds to the given infix expression?
(1 + 4 / 2 + 1 + 2) * 3 / 2
a) 1 4 2 + / 1 + 2 + 3 * 2 /
b) 1 4 2 / + 1 + 2 3 + * 2 /
c) 1 4 2 / + 1 + 2 + 3 * 2 /
d) 1 4 2 / + 1 + 2 + 3 / 2 *

C) 1 4 2 / + 1 + 2 + 3 * 2 /

Explanation:

Infix, Postfix and Prefix are 3 different ways of writing expressions which differ in relative placement of operator and operands.

In Infix , operator lies between the operands whereas in postfix operator is written after its operands.

For example: 1 + 2 is infix while 1 2 + is the corresponding postfix expression.

Converting the given infix expression (1 + 4 / 2 + 1 + 2) * 3 / 2 to postfix:

Let (1 + 4 / 2 + 1 + 2) be represented by x.

Converting x to postfix:

(1 + 4 / 2 + 1 + 2)  =>  1 4 2 / + 1 + 2 +       (1)

So the overall infix expression becomes:

x * 3 / 2

Converting it to postfix:

x 3 * 2 /

Replacing the value of x from (1)

1 4 2 / + 1 + 2 + 3 * 2 /

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have a great day!

i think so.

by: nicholas