Step 1: Understand the concept
We need the reaction in which an amide loses its -CO- group. This gives an amine with one carbon less.
Step 2: Hofmann degradation
\(\text{RCONH}_2 + \text{Br}_2 + 4\text{NaOH} \to \text{RNH}_2 + 2\text{NaBr} + \text{Na}_2\text{CO}_3 + 2\text{H}_2\text{O}\). The carbonyl carbon leaves as carbonate, so the amine has one carbon fewer than the amide.
Step 3: Check others
Gabriel synthesis uses a phthalimide anion and an alkyl halide to make a primary amine. Ammonolysis uses ammonia and an alkyl halide. Mendius reduction reduces a nitrile with Na and alcohol. None of these removes a CO group from an amide.
Step 4: Conclusion
Hofmann degradation is the answer.
Final Answer:
Hofmann degradation drops the carbonyl carbon as carbonate. This is option (D).
\[ \boxed{\text{(D) }\text{Hofmann degradation}} \]