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.

Show answer & explanation

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/-

A video solution is available for this question — log in and enroll to watch it.

Explore the full course: Coding For Placement