Compute the postfix equivalent of the following expression 3 * log(x + 1) − a…
1998
Compute the postfix equivalent of the following expression
3 * log(x + 1) − a / 2
Attempted by 1 students.
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Correct answer: 3x1+log*a2/-
Postfix Conversion Steps
To convert the infix expression 3 * log(x + 1) − a / 2 to postfix notation, we process operators based on precedence and associativity.
Step-by-Step Breakdown
Step 1: Evaluate the innermost parentheses (x + 1). In postfix, operands come first. Result: x 1 +
Step 2: Apply the log function to the result. The operator follows its operand in postfix. Result: x 1 + log
Step 3: Perform multiplication with 3. The * operator follows its two operands (3 and the log result). Result: 3 x 1 + log *
Step 4: Perform division a / 2. The / operator follows its operands. Result: a 2 /
Step 5: Perform the final subtraction. The - operator follows the two main parts of the expression.
Final Postfix Expression: 3 x 1 + log * a 2 / -
Removing spaces for standard format: 3x1+log*a2/-
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