Question

Rewrite the following infix expression in prefix and postfix form and draw the syntax tree: (3...

Rewrite the following infix expression in prefix and postfix form and draw the syntax tree:
(3 − 4) / 5 + 6 * 7

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Answer #1

The given Infix expression is:

(3-4)/5+6*7

Operator precedence of * and / are same and those are left associative. Again operator precedence of + and - are same and are left associative( If these occur together then left most operators will be executed first ).

We can convert infix expression to prefix and postfix by using (i) bracket '()' notation (ii) using stack

Bracket notation is easy to follow. The details of conversion is attached herewith as images. please follow these images.

Images showing conversion :

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