L = H mod 2 ^ ( L = 0 ^ L = 1).

So, L is an element of {0,1}

Thus L can have a value of 0, or a value of 1, irrespective of H. However if we try to implement this on a computer we may have a problem due to the distribution of values of L over a sufficiently large enough period of time.

Try incrementing the values of L below until you decide whether H is odd or even.

(Note: remember H is even <=> H mod 2 = 0 ).

So far, you are looking at 0 values of L.

0 of which were Zero, and 0 of which were One.

0

0

So, do you think H is:

Even Odd