 ## Algorithm to evaluate Prefix Expression:

The evaluation of prefix expression requires a stack data structure. We will push the operators in the stack and then solve the expression.

We will visit each element of the expression one by one. If the current element is an operand, we will push it to the stack. And if it is an operator, we will pop two operands, perform the operation, operand operator operand and then push the result back to the stack.

Program:

#include <bits/stdc++.h>

using namespace std;

double evaluatePrefix(string prefixExp) {

stack<double> operendStack;

int size = prefixExp.size() - 1;

for (int i = size; i >= 0; i--) {

if (isdigit(prefixExp[i]))

operendStack.push(prefixExp[i] - '0');

else {

double o1 = operendStack.top();

operendStack.pop();

double o2 = operendStack.top();

operendStack.pop();

if( prefixExp[i] == '+')

operendStack.push(o1 + o2);

else if( prefixExp[i] == '-')

operendStack.push(o1 - o2);

else if( prefixExp[i] == '*')

operendStack.push(o1 * o2);

else if( prefixExp[i] == '/')

operendStack.push(o1 / o2);

else{

cout<<"Invalid Expression";

return -1;

}

}

}

return operendStack.top();

}

int main()

{

string prefixExp = "*+69-31";

cout<<"The result of evaluation of expression "<<prefixExp<<" is "<<evaluatePrefix(prefixExp);

return 0;

}

Output:

The result of evaluation of expression *+69-31 is 30 #### More Articles of Shaik Aftab Ahmed:

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