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 /
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:
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Start from the innermost parentheses: (3 + 2 - 6). The postfix form of this is 3 2 + 6 -.
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Replace the parentheses in the original infix expression with the postfix form from step 1: 4 * 3 2 + 6 - / 8.
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Now, convert the remaining infix expression to postfix. The postfix form of 4 * (something) / 8 is 4 (something) * 8 /.
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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 /.
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