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Q: 2. B) Trace the evaluation of the expression 4 8 + 6 5 -* 3 2 2 2, given the algorithm of postfix evaluation
Q: 2. B) Trace the evaluation of the expression 4 8 + 6 5 -* 3 2 2 2, given the algorithm of postfix evaluation and fill the table. (10 pts)
EVALUATION OF POSTFIX EXPRESSION
Let P is an expression written in postfix notation.
1) STACK=empty stack.
2) Scan P from left to right and repeat step 3 and 4 for each symbol in P until end of expression.
3) If an operand is encountered, push it on STACK.
4) If an operator x encountered then;
a) Operand 2= pop (STACK).
b) Operand 1= pop (STACK).
c) Value= operand1 x operand 2.
d) Push value on STACK.
5) Return the value at top of the STACK.
6) Exit.
Number of symbol
Symbol Scan
Operand 1
Operand 2
Value
Stack
1
4
2
8
3
+
4
6
5
5
6
-
7
*
8
3
9
2
10
-
11
2
12
2
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