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Say a Stormsurge or Wraithguard squad fires four D shots at a Supremacy suit and scores two Deathblow results. How does the Supremacy go about halving the results?
The rule says "When a model with a barrier shield is struck by a Destroyer attack and a "Deathblow" result occurs, the amount of wounds inflicted is halved but the shield stops working until the start of the controlling player's next turn."
So are both attacks halved, or is just one halved? How do we determine which one is halved?
Also, say I inflict 7 Deathblow wounds upon a Supremacy. Is the halved number rounded down or up?

What does .5 round to?

On the "0.5" count, regardless of what actual math tells us:

Rulebook page 11 wrote:Dividing to Conquer
On occasion, you’ll be called upon to divide the result of a dice roll, a characteristic or some other value. Where this happens, any fractions should always be rounded up. So a D6 roll of 3, halved, would be a result of 2 (1.5 rounded up). Similarly, 10% of a unit of twenty-one models, rounded up, would be 3 models.

Whilst Destroyer weapons don't follow all the normal rules of shooting attacks, they should still be allocated and rolled for one-at-a-time (for example, against a multi-model multi-wound unit, the order is important), doing them all at the same time is a time-saving method you can use when it wouldn't affect the outcome. Someone may come out and prove me wrong on that though, don't deal with D weapons often.