How to replicate/simulate experiments done on dsp kit 6713 without using hardware?
You might want to write and debug your C code on a PC and then compile it and test it on your embedded target once ready.
I've been successfully using Microsoft Visual Studio since 1998 for this kind of activities.
I use Microsoft Visual Studio from Monday to Thursday and then test the code on my targets on Friday.
Microsoft Visual Studio Community edition is free for open source projects, students, teachers and makers.

You don't need at all to emulate DSP's hardware registers on your PC.
Let's imagine for example that some input data enters the DSP from a hardware interface that the PC doesn't have.
In this case, just input the data in a C source file like:
int input_data[8] = {12,654,-89,23432,-5453,7565,51099,-1};

If, for example, input data come from a DSP hardware interface and are random integer numbers, you may use srand() and rand() C functions.

If you need to turn on a led on your DSP board just use the printf() function:
void led__turn_on (void)
{    
    printf(&quot;Led on\n&quot;);
}

void led__turn_off (void)
{    
    printf(&quot;Led off\n&quot;);
}


You may also take a step forward to hardware emulation:
Implement those functions for your DSP using the very same name:
 void led__turn_on (void)
 {    
    P1 |= 0x01; 
 }

 void led__turn_ff (void)
 {    
     P1 &amp;= ~0x01;
 }

Configure your DSP toolchain compliler to compile these functions.

Testing C algorithms on a PC platform first is an industry common practice standard.