The result for the Postfix Expression ab*cd*+ where a=2, b=2, c=3, d=4 isOptions22151216

To evaluate the postfix expression $ab*cd*+$ where $a=2, b=2, c=3, d=4$, we'll follow these steps:

1. Break Down the Problem

We need to substitute the variables with their respective values and then evaluate the postfix expression.

2. Relevant Concepts

In postfix notation (also known as Reverse Polish Notation), operators follow their operands. The expression is evaluated using a stack data structure.

3. Analysis and Detail

1. Substitute values into the expression:

   • $a = 2, b = 2, c = 3, d = 4$
   • The expression becomes $2 2 * 3 4 * +$.

2. Evaluate the expression step-by-step:

   1. Push $2$ onto the stack.
   2. Push $2$ onto the stack.
   3. Perform the multiplication $2 * 2 = 4$:
      • Pop $2$ and $2$ from the stack and push $4$.
   4. Push $3$ onto the stack.
   5. Push $4$ onto the stack.
   6. Perform the multiplication $3 * 4 = 12$:
      • Pop $3$ and $4$ from the stack and push $12$.
   7. Now we have $4$ and $12$ on the stack.
   8. Perform the addition $4 + 12 = 16$:
      • Pop $4$ and $12$ from the stack and push $16$.

4. Verify and Summarize

The final value on the stack is $16$. Thus, the evaluated result of the postfix expression is confirmed.

Final Answer

The result for the postfix expression $ab*cd*+$ where $a=2, b=2, c=3, d=4$ is $16$.