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The postfix expression of the infix expression 4 * ( 3 + 2 - 6 ) / 8A4 3 2 + 6 - * 8 /B4 * 3  2 + 6 - 8 /C4 3 2 + * 6 8 / -D4 * 3  2  6  -  +  8  /

Question

The postfix expression of the infix expression 4 * ( 3 + 2 - 6 ) / 8A4 3 2 + 6 - * 8 /B4 * 3  2 + 6 - 8 /C4 3 2 + * 6 8 / -D4 * 3  2  6  -  +  8  /

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Solution

The postfix expression of the infix expression 4 * ( 3 + 2 - 6 ) / 8 is A. 4 3 2 + 6 - * 8 /

Here's the step-by-step conversion:

  1. Start from the innermost parentheses: (3 + 2 - 6). The postfix form of this is 3 2 + 6 -.

  2. Replace the parentheses in the original infix expression with the postfix form from step 1: 4 * 3 2 + 6 - / 8.

  3. Now, convert the remaining infix expression to postfix. The postfix form of 4 * (something) / 8 is 4 (something) * 8 /.

  4. Replace (something) with the postfix form from step 2: 4 3 2 + 6 - * 8 /.

So, the postfix form of the given infix expression is 4 3 2 + 6 - * 8 /.

This problem has been solved

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