Sunday, April 13, 2014

Using a Stack to Reverse Numbers

Yeah, I heard many of you saying this and I know it’s no big deal to
reverse a number and neither is it using stack to do so. I am writing this just
to give you an example of how certain things in a program can be done using
stacks. So, let’s move on…


As many of you already know, a stack is a Data Structure in which data can
be added and retrieved both from only one end (same end). Data is stored linearly
and the last data added is the first one to be retrieved, due to this fact it
is also known as Last-In-First-Out data structure. For more info please read
Data
Structures: Introduction to Stacks
.


Now, let’s talk about reversing a number, well reversing means to rearrange
a number in the opposite order from one end to the other.


Suppose we have a number


12345


then its reverse will be


54321


Ok, now let’s have a look at the example program which does this:



// Program in C++ to reverse
// a number using a Stack

// PUSH -> Adding data to the sat ck
// POP -> Retrieving data from the stack

#include<iostream.h>

// stack class
class stack
{
int arr[100];
// top will hold the
// index number in the
// array from which all
// the pushing and popping
// will be done
int top;
public:
stack();
void push(int);
int pop();
};


// member functions
// of the stack class
stack::stack()
{
// initialize the top
// position
top=-1;
}

void stack::push(int num)
{
if(top==100)
{
cout<<"
Stack Full!
"
;
return;
}

top++;
arr[top]=num;
}

int stack::pop()
{
if(top==-1)
{
return NULL;
}

return arr[top--];
}
// member function definition ends

void main()
{
stack st;
int num, rev_num=0;
int i=1, tmp;

cout<<"Enter Number: ";
cin>>num;

// this code will store
// the individual digits
// of the number in the
// Stack
while(num>0)
{
st.push(num%10);
num/=10;
}

// code below will retrieve
// digits from the stack
// to create the reversed
// number
tmp=st.pop();
while(tmp!=NULL)
{
rev_num+=(tmp*i);
tmp=st.pop();
i*=10;
}

cout<<"Reverse: "<<rev_num<<endl;
}



The above code is pretty much straightforward and I leave it up to you to understand
it!


P.S. If you experience any problems understanding it please first read the
article Data
Structures: Introduction to Stacks


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