hi! Understanding a coding (counter), help

If you want to count to "k-1", you should replace:

value <= value + 1;

by something like:

if (value < k) then
value <= value + 1;
else
value <= (others => '0');
end if;

And then you have two choices:

Do you want to have "k" hard coded in your design then you can make a new generic with

k : integer :=32;

Where 32 is only a pre-defined Value for k and can be replaced by the parent entity.

Or for changing the Value while the Core runs, you can define a new port as Input:

k : in unsigned (15 downto 0 );

Where 15 is the maximum width of the Input (actually 16Bit).