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Q. Write down an algorithm to evaluate an expression given to you in postfix notation. Show the execution of your algorithm for the following given expression.
AB^CD-EF/GH+/+*
Ans.
Algorithm to evaluate Post fix Expression is shown as follows
Opndstk = the empty stack;
/*scan the input string reading one */
/*element at a time into symb */
while ( not end of input){
symb = next input character;
if (symb is an operand)
push (opndstk, symb);
else
{
/* symb is an operator */
opnd 2 = Pop (opnd stk);
opnd 1 = Pop (opnd stk);
value = result of applying symb to opnd 1 and opnd 2;
push (opndstk,value);
}/*end else */
}/*end while */
return (pop (opnd stk));
Symb
Opnd1
Opnd2
Value
Opndstk
A
B
A,B
^
A^B
C
A^B,C
D
A^B,C,D
-
C-D
A^B,C-D
E
A^B,C-D,E
F
A^B,C-D,E,F
/
E/F
A^B,C-D,E/F
G
A^B,C-D,E/F,G
H
A^B,C-D,E/F,G,H
+
G+H
A^B,C-D,E/F,G+H
(E/F)/(G+H)
A^B,C-D, (E/F) /(G+H)
(C-D)+(E/F)/(G+H)
A^B,(C-D)+
*
(C-
D)+(E/F)/(G+H)
A^B*((C-D)+
(E/F)/(G+H))
Generally, Computational complexity of algorithms are referred to through space complexity (space needed for running program) and time complexity (time needed for running the progr
Q. Write down an algorithm to evaluate an expression given to you in postfix notation. Show the execution of your algorithm for the following given expression. AB^CD-EF/GH+/+*
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