Question
How does a zerg carapace upgrade change inflicted damage on a unit? Is it worth purchasing?
Answer
The equation is very simple for armor (much simpler than Warcraft 3 for example).
Each unit has a number of attacks. Zealots for example hits 2 times for 8 damage each shot
Each unit has a number of armor points. Each armor point reduces damange by 1 by attack
Each race can upgrade armor (protoss shield works the same way). Each armor upgrade gives +1 armor.
So if a zealot would hit a zergling with carapace upgrade 1 (Total armor = 1) the calculation is as follow
(8 - 1) x 2 = 14 total damage
Now Starcraft 2 units gets bonuses versus particular types of units
Suppose that a Viking (2x6 +8 vs armored) would try to shoot down a battlecruiser (3 armor). The calculation goes like this
(6 + 8 - 3) x 2 = 22 damage
So you can say that multiple hits is a weakness, since the armor gets deduced multiple times.
Now for the second part of your question, is carapace upgrade worth it? I'd say yes, but the real answer is "it depends on when to get it". Starcraft is a game of tradeoffs, so getting upgrades is good, but losing because your enemy has more units/firepower than you is bad.
The question becomes "when is it safe to upgrade?". As a rule of thumb, I'd say that whenever the game gets lengthy, that you can secure an expansion for the extra gas this cost, do it.
Check more discussion of this question.
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