Step 1: Understanding the Question:
The question refers to the structure of deoxyribose sugar in DNA.
Step 3: Detailed Explanation:
In RNA, the sugar is Ribose, which has hydroxyl (\( \text{-OH} \)) groups on both \( \text{C}'_2 \) and \( \text{C}'_3 \).
In DNA, the sugar is 2-deoxyribose.
The prefix "2-deoxy" indicates that the oxygen atom is missing from the hydroxyl group at the 2nd carbon (\( \text{C}'_2 \)) position.
Step 4: Final Answer:
The carbon atom that lacks oxygen is \( \text{C}'_2 \).