Step 1: Understanding the Concept:
NCBI is a key division of the National Library of Medicine (NLM) at the National Institutes of Health (NIH) in the United States.
Step 2: Detailed Explanation:
The acronym NCBI stands for "National Center for Biotechnology Information".
It was established in 1988 to develop information systems for molecular biology.
NCBI houses critical biological databases such as GenBank, PubMed, and BLAST.
Thus, the correct expansion is National Center for Biotechnology Information.
Step 3: Final Answer
The correct option is (B).