Is smoked beef cooked 100%
If the smoked beef you tried tasted of ash then it was not done right.
If done correctly and cooked to a safe internal temperature then, "YES" it is 100% cooked.
You should note that it is the internal temperature and not just "smoking" that is the rule for "doneness". Smoking can occur at a lower temperature. Smoking can be used to "cure" or preserve beef, as @TFD &amp; @Aaronut point out. These process yield a product that is 'ready to eat' so I would say it is "100% cooked".