I am trying to multiplex two seven segment displays, once a switch input is detected.

1. If a switch is pressed then the seven segment displays should show 1
2. If pressed again, 2, then 3 and so on.

My problem arises when I reach number 9 since the next switch input will show 10. 1 on the first SSD and 0 on the second SSD. Below is a snippet of my code with regards to how I am detecting inputs from 1 - 9.

    if ( SW1 != 0x00000200 )  //when pressed        
      {
        k++;                
        IO0SET = T1;
        IO0SET = T2;
        
        if (k == 1){
        IO0SET = T1;               //switching on left seven segment display
        IO0CLR = T2;               //clearing the right seven segment display 
        IO0CLR = a;
        IO0SET = b;
        IO0SET = c;
        IO0CLR = d;             
        IO0CLR = g;                //displaying number 1
        IO0CLR = e;
        IO0CLR = f;
        small_delay();
        }       

I am following the same structure for the 10th switch press:

        else if (k == 10){ 
        IO0CLR = 0x000000FF;        //turn off all the segments as well as both common anodes. Then your outputs will be ready for the new segment patterns to be set up.
        IO0SET = T2;                //switching on first display                            
        IO0SET = b;                     
        IO0SET = c;                 //displaying number 1         
        small_delay();              //calling short delay           
        IO0CLR = 0x000001FF;        
        
        IO0SET = a;
        IO0SET = b;
        IO0SET = c;             
        IO0SET = d;                 //displaying number 0
        IO0SET = e;
        IO0SET = f;
        IO0SET = T1;    
        small_delay();
        IO0CLR = 0x000000FF;}

The problem with the second code I provide is that the seven segment display only displays 10 once. That is, first 1 is shown on the left display and then 0 on the second display as required, however this is performed only once and does not go on until the next switch input is detected.

One solution this problem which I have come up with is that I included a while statement after the if else such that:

    else if (k == 10){
        while (k == 10) {   //rest of code

This actually does what I want it to do, and keeps multiplexing both seven segments, showing number 10, however the problem in this case is that it does not step out of the while loop to accommodate for the next switch input.

How can I multiplex both displays until the next switch input is detected? Any ideas/suggestions would be greatly appreciated.