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3 years ago

Which of the following postfix expressions corresponds to the given infix expression?

Computers and Technology

1 answer:

Ivan3 years ago

4 0

Answer:

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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