**Core Concept**
The process of converting short-term memory to long-term memory involves the consolidation of information from the hippocampus to other parts of the brain, specifically the neocortex. This process is essential for the storage and retrieval of memories.

**Why the Correct Answer is Right**
The consolidation of short-term memory to long-term memory occurs through a process called synaptic plasticity, where the strength and connectivity of synapses between neurons are modified. The hippocampus plays a crucial role in this process, particularly in the formation of new memories. The information is then transferred from the hippocampus to the neocortex, where it is stored and retrieved. This process is mediated by the release of neurotransmitters such as acetylcholine, dopamine, and norepinephrine, which facilitate the consolidation of memories.

**Why Each Wrong Option is Incorrect**
**Option A:** This option is incorrect because the cerebellum is primarily involved in motor coordination and balance, rather than memory consolidation.
**Option B:** This option is incorrect because the basal ganglia are involved in movement control and habit formation, rather than the conversion of short-term to long-term memory.
**Option C:** This option is incorrect because the thalamus acts as a relay station for sensory information, rather than being directly involved in memory consolidation.

**Clinical Pearl / High-Yield Fact**
The process of memory consolidation is disrupted in conditions such as Alzheimer's disease, where the hippocampus is damaged, leading to impaired memory formation and retrieval.

**Correct Answer:** C. The hippocampus.