The king ask if the execution was done to the old thane of Cawdor. He was told that the execution was done and that he died a noble death confessing about all the crimes that he have done. The king Give Macbeth the Thane Of Cawdor and he shows his respect to the king Duncan. However the king gives his son Malcolm the prince of Cumberland so Macbeth starting planning something for Malcolm. But he does not want the king to know about his dark and deep desires.

MACBETH

(aside) The prince of Cumberland! That is a step
On which I must fall down, or else o’erleap,
For in my way it lies. Stars, hide your fires;
Let not light see my black and deep desires.
The eye wink at the hand, yet let that be
Which the eye fears, when it is done, to see.
At the king’s palace, Duncan hears reports of Cawdor’s execution from his son Malcolm, who says that Cawdor died nobly, confessing all of his crimes. Macbeth knows that Duncan’s son is know the prince of Cumberland. So Macbeth has some dark a deep desires against Malcolm. And he wants to keep it away.from the King.
SparkNotes Editors. “SparkNote on Macbeth.” SparkNotes.com. SparkNotes LLC. 2002. Web. 27 Sept. 2016.