# Do I need to worry about synchronization in a digital signal processor?

I understand that a digital signal processor consist of multiple MAD (muliply add units), which execute in parallel to implement a difference equation, like this one:

$$y[n]=10y[n-1] + 45y[n-2] + 45y[n-4]+ 67x[n]$$

and this one;

$$y[n]=10x[n-1] + 45x[n-2] + 45x[n-4]+ 67x[n]$$

My question is do I need to be careful about synchronization as we do when programming a multicore CPU/GPU and FPGA? If not why?